Average Error: 40.3 → 7.1
Time: 1.1min
Precision: binary64
Cost: 1680
\[\frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale} \cdot \frac{\frac{\left(\left(2 \cdot \left({b}^{2} - {a}^{2}\right)\right) \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right) \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)}{x-scale}}{y-scale} - \left(4 \cdot \frac{\frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale}}{x-scale}\right) \cdot \frac{\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale}}{y-scale} \]
↓
\[\begin{array}{l} t_0 := a \cdot \frac{b}{x-scale \cdot y-scale}\\ t_1 := a \cdot \frac{b}{y-scale}\\ \mathbf{if}\;a \leq 5 \cdot 10^{-256}:\\ \;\;\;\;-4 \cdot \left(t_0 \cdot t_0\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-139}:\\ \;\;\;\;-4 \cdot \left(\frac{\frac{b}{x-scale}}{\frac{y-scale}{a}} \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-39}:\\ \;\;\;\;-4 \cdot \left(\frac{a}{y-scale \cdot \frac{x-scale}{b}} \cdot \frac{a \cdot \frac{b}{x-scale}}{y-scale}\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{+217}:\\ \;\;\;\;\frac{t_1 \cdot \frac{t_1}{x-scale}}{-x-scale} \cdot 4\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(t_0 \cdot \frac{\frac{a \cdot b}{x-scale}}{y-scale}\right)\\ \end{array} \]
(FPCore (a b angle x-scale y-scale)
 :precision binary64
 (-
  (*
   (/
    (/
     (*
      (* (* 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 (- (pow b 2.0) (pow a 2.0))) (sin (* (/ angle 180.0) PI)))
      (cos (* (/ angle 180.0) PI)))
     x-scale)
    y-scale))
  (*
   (*
    4.0
    (/
     (/
      (+
       (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))))
↓
(FPCore (a b angle x-scale y-scale)
 :precision binary64
 (let* ((t_0 (* a (/ b (* x-scale y-scale)))) (t_1 (* a (/ b y-scale))))
   (if (<= a 5e-256)
     (* -4.0 (* t_0 t_0))
     (if (<= a 1.7e-139)
       (*
        -4.0
        (* (/ (/ b x-scale) (/ y-scale a)) (* (/ b x-scale) (/ a y-scale))))
       (if (<= a 7.5e-39)
         (*
          -4.0
          (* (/ a (* y-scale (/ x-scale b))) (/ (* a (/ b x-scale)) y-scale)))
         (if (<= a 2.7e+217)
           (* (/ (* t_1 (/ t_1 x-scale)) (- x-scale)) 4.0)
           (* -4.0 (* t_0 (/ (/ (* a b) x-scale) y-scale)))))))))
double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	return ((((((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 * (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)) - ((4.0 * (((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));
}
↓
double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	double t_0 = a * (b / (x_45_scale * y_45_scale));
	double t_1 = a * (b / y_45_scale);
	double tmp;
	if (a <= 5e-256) {
		tmp = -4.0 * (t_0 * t_0);
	} else if (a <= 1.7e-139) {
		tmp = -4.0 * (((b / x_45_scale) / (y_45_scale / a)) * ((b / x_45_scale) * (a / y_45_scale)));
	} else if (a <= 7.5e-39) {
		tmp = -4.0 * ((a / (y_45_scale * (x_45_scale / b))) * ((a * (b / x_45_scale)) / y_45_scale));
	} else if (a <= 2.7e+217) {
		tmp = ((t_1 * (t_1 / x_45_scale)) / -x_45_scale) * 4.0;
	} else {
		tmp = -4.0 * (t_0 * (((a * b) / x_45_scale) / y_45_scale));
	}
	return tmp;
}

public static double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	return ((((((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 * (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)) - ((4.0 * (((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));
}
↓
public static double code(double a, double b, double angle, double x_45_scale, double y_45_scale) {
	double t_0 = a * (b / (x_45_scale * y_45_scale));
	double t_1 = a * (b / y_45_scale);
	double tmp;
	if (a <= 5e-256) {
		tmp = -4.0 * (t_0 * t_0);
	} else if (a <= 1.7e-139) {
		tmp = -4.0 * (((b / x_45_scale) / (y_45_scale / a)) * ((b / x_45_scale) * (a / y_45_scale)));
	} else if (a <= 7.5e-39) {
		tmp = -4.0 * ((a / (y_45_scale * (x_45_scale / b))) * ((a * (b / x_45_scale)) / y_45_scale));
	} else if (a <= 2.7e+217) {
		tmp = ((t_1 * (t_1 / x_45_scale)) / -x_45_scale) * 4.0;
	} else {
		tmp = -4.0 * (t_0 * (((a * b) / x_45_scale) / y_45_scale));
	}
	return tmp;
}

def code(a, b, angle, x_45_scale, y_45_scale):
	return ((((((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 * (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)) - ((4.0 * (((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))
↓
def code(a, b, angle, x_45_scale, y_45_scale):
	t_0 = a * (b / (x_45_scale * y_45_scale))
	t_1 = a * (b / y_45_scale)
	tmp = 0
	if a <= 5e-256:
		tmp = -4.0 * (t_0 * t_0)
	elif a <= 1.7e-139:
		tmp = -4.0 * (((b / x_45_scale) / (y_45_scale / a)) * ((b / x_45_scale) * (a / y_45_scale)))
	elif a <= 7.5e-39:
		tmp = -4.0 * ((a / (y_45_scale * (x_45_scale / b))) * ((a * (b / x_45_scale)) / y_45_scale))
	elif a <= 2.7e+217:
		tmp = ((t_1 * (t_1 / x_45_scale)) / -x_45_scale) * 4.0
	else:
		tmp = -4.0 * (t_0 * (((a * b) / x_45_scale) / y_45_scale))
	return tmp

function code(a, b, angle, x_45_scale, y_45_scale)
	return Float64(Float64(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) * 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)) - Float64(Float64(4.0 * 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)))
end
↓
function code(a, b, angle, x_45_scale, y_45_scale)
	t_0 = Float64(a * Float64(b / Float64(x_45_scale * y_45_scale)))
	t_1 = Float64(a * Float64(b / y_45_scale))
	tmp = 0.0
	if (a <= 5e-256)
		tmp = Float64(-4.0 * Float64(t_0 * t_0));
	elseif (a <= 1.7e-139)
		tmp = Float64(-4.0 * Float64(Float64(Float64(b / x_45_scale) / Float64(y_45_scale / a)) * Float64(Float64(b / x_45_scale) * Float64(a / y_45_scale))));
	elseif (a <= 7.5e-39)
		tmp = Float64(-4.0 * Float64(Float64(a / Float64(y_45_scale * Float64(x_45_scale / b))) * Float64(Float64(a * Float64(b / x_45_scale)) / y_45_scale)));
	elseif (a <= 2.7e+217)
		tmp = Float64(Float64(Float64(t_1 * Float64(t_1 / x_45_scale)) / Float64(-x_45_scale)) * 4.0);
	else
		tmp = Float64(-4.0 * Float64(t_0 * Float64(Float64(Float64(a * b) / x_45_scale) / y_45_scale)));
	end
	return tmp
end

function tmp = code(a, b, angle, x_45_scale, y_45_scale)
	tmp = ((((((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 * ((b ^ 2.0) - (a ^ 2.0))) * sin(((angle / 180.0) * pi))) * cos(((angle / 180.0) * pi))) / x_45_scale) / y_45_scale)) - ((4.0 * (((((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));
end
↓
function tmp_2 = code(a, b, angle, x_45_scale, y_45_scale)
	t_0 = a * (b / (x_45_scale * y_45_scale));
	t_1 = a * (b / y_45_scale);
	tmp = 0.0;
	if (a <= 5e-256)
		tmp = -4.0 * (t_0 * t_0);
	elseif (a <= 1.7e-139)
		tmp = -4.0 * (((b / x_45_scale) / (y_45_scale / a)) * ((b / x_45_scale) * (a / y_45_scale)));
	elseif (a <= 7.5e-39)
		tmp = -4.0 * ((a / (y_45_scale * (x_45_scale / b))) * ((a * (b / x_45_scale)) / y_45_scale));
	elseif (a <= 2.7e+217)
		tmp = ((t_1 * (t_1 / x_45_scale)) / -x_45_scale) * 4.0;
	else
		tmp = -4.0 * (t_0 * (((a * b) / x_45_scale) / y_45_scale));
	end
	tmp_2 = tmp;
end

code[a_, b_, angle_, x$45$scale_, y$45$scale_] := N[(N[(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] * 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]), $MachinePrecision] - N[(N[(4.0 * 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]), $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]), $MachinePrecision]
↓
code[a_, b_, angle_, x$45$scale_, y$45$scale_] := Block[{t$95$0 = N[(a * N[(b / N[(x$45$scale * y$45$scale), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(a * N[(b / y$45$scale), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, 5e-256], N[(-4.0 * N[(t$95$0 * t$95$0), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.7e-139], N[(-4.0 * N[(N[(N[(b / x$45$scale), $MachinePrecision] / N[(y$45$scale / a), $MachinePrecision]), $MachinePrecision] * N[(N[(b / x$45$scale), $MachinePrecision] * N[(a / y$45$scale), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7.5e-39], N[(-4.0 * N[(N[(a / N[(y$45$scale * N[(x$45$scale / b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(a * N[(b / x$45$scale), $MachinePrecision]), $MachinePrecision] / y$45$scale), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.7e+217], N[(N[(N[(t$95$1 * N[(t$95$1 / x$45$scale), $MachinePrecision]), $MachinePrecision] / (-x$45$scale)), $MachinePrecision] * 4.0), $MachinePrecision], N[(-4.0 * N[(t$95$0 * N[(N[(N[(a * b), $MachinePrecision] / x$45$scale), $MachinePrecision] / y$45$scale), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

\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} \cdot \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} - \left(4 \cdot \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}\right) \cdot \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}
↓
\begin{array}{l}
t_0 := a \cdot \frac{b}{x-scale \cdot y-scale}\\
t_1 := a \cdot \frac{b}{y-scale}\\
\mathbf{if}\;a \leq 5 \cdot 10^{-256}:\\
\;\;\;\;-4 \cdot \left(t_0 \cdot t_0\right)\\

\mathbf{elif}\;a \leq 1.7 \cdot 10^{-139}:\\
\;\;\;\;-4 \cdot \left(\frac{\frac{b}{x-scale}}{\frac{y-scale}{a}} \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)\\

\mathbf{elif}\;a \leq 7.5 \cdot 10^{-39}:\\
\;\;\;\;-4 \cdot \left(\frac{a}{y-scale \cdot \frac{x-scale}{b}} \cdot \frac{a \cdot \frac{b}{x-scale}}{y-scale}\right)\\

\mathbf{elif}\;a \leq 2.7 \cdot 10^{+217}:\\
\;\;\;\;\frac{t_1 \cdot \frac{t_1}{x-scale}}{-x-scale} \cdot 4\\

\mathbf{else}:\\
\;\;\;\;-4 \cdot \left(t_0 \cdot \frac{\frac{a \cdot b}{x-scale}}{y-scale}\right)\\


\end{array}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Split input into 5 regimes

  2. if a < 5e-256

    1. Initial program 39.6

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

    2. Simplified44.2

      \[\leadsto \color{blue}{\mathsf{fma}\left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} \cdot -4, \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}} \cdot \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}}\right)} \]
      Proof
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 17 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 6 points increase in error, 22 points decrease in error
      (fma.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<= metadata-eval (neg.f64 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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<= distribute-rgt-neg-in_binary64 (neg.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) 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 2 points increase in error, 3 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 7 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 9 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (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 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 3 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))): 7 points increase in error, 5 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (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)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)))): 7 points increase in error, 16 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (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))): 1 points increase in error, 3 points decrease in error
      (Rewrite<= fma-def_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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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)))): 10 points increase in error, 16 points decrease in error
      (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error

    3. Taylor expanded in angle around 0 38.9

      \[\leadsto \color{blue}{-4 \cdot \frac{{a}^{2} \cdot {b}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}}} \]

    4. Simplified5.5

      \[\leadsto \color{blue}{-4 \cdot \left(\left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right) \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)} \]
      Proof
      (*.f64 -4 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))))): 73 points increase in error, 25 points decrease in error
      (*.f64 -4 (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 60 points increase in error, 6 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale))))): 38 points increase in error, 1 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))): 11 points increase in error, 8 points decrease in error

    5. Taylor expanded in b around 0 38.9

      \[\leadsto -4 \cdot \color{blue}{\frac{{a}^{2} \cdot {b}^{2}}{{x-scale}^{2} \cdot {y-scale}^{2}}} \]

    6. Simplified6.1

      \[\leadsto -4 \cdot \color{blue}{{\left(a \cdot \frac{\frac{b}{x-scale}}{y-scale}\right)}^{2}} \]
      Proof
      (pow.f64 (*.f64 a (/.f64 (/.f64 b x-scale) y-scale)) 2): 0 points increase in error, 0 points decrease in error
      (pow.f64 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (/.f64 b x-scale) y-scale) a)) 2): 0 points increase in error, 0 points decrease in error
      (pow.f64 (Rewrite=> associate-*l/_binary64 (/.f64 (*.f64 (/.f64 b x-scale) a) y-scale)) 2): 30 points increase in error, 24 points decrease in error
      (pow.f64 (Rewrite<= associate-*r/_binary64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale))) 2): 30 points increase in error, 32 points decrease in error
      (Rewrite=> unpow2_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (Rewrite=> swap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 70 points increase in error, 30 points decrease in error
      (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))): 51 points increase in error, 16 points decrease in error
      (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale)))): 32 points increase in error, 7 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))): 13 points increase in error, 7 points decrease in error
      (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))): 0 points increase in error, 0 points decrease in error

    7. Applied egg-rr6.6

      \[\leadsto -4 \cdot \color{blue}{\left(\left(\frac{b}{x-scale \cdot y-scale} \cdot a\right) \cdot \left(\frac{b}{x-scale \cdot y-scale} \cdot a\right)\right)} \]

    if 5e-256 < a < 1.69999999999999999e-139

    1. Initial program 32.5

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

    2. Simplified39.7

      \[\leadsto \color{blue}{\mathsf{fma}\left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} \cdot -4, \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}} \cdot \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}}\right)} \]
      Proof
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 17 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 6 points increase in error, 22 points decrease in error
      (fma.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<= metadata-eval (neg.f64 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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<= distribute-rgt-neg-in_binary64 (neg.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) 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 2 points increase in error, 3 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 7 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 9 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (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 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 3 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))): 7 points increase in error, 5 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (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)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)))): 7 points increase in error, 16 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (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))): 1 points increase in error, 3 points decrease in error
      (Rewrite<= fma-def_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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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)))): 10 points increase in error, 16 points decrease in error
      (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error

    3. Taylor expanded in angle around 0 36.3

      \[\leadsto \color{blue}{-4 \cdot \frac{{a}^{2} \cdot {b}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}}} \]

    4. Simplified5.8

      \[\leadsto \color{blue}{-4 \cdot \left(\left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right) \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)} \]
      Proof
      (*.f64 -4 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))))): 73 points increase in error, 25 points decrease in error
      (*.f64 -4 (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 60 points increase in error, 6 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale))))): 38 points increase in error, 1 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))): 11 points increase in error, 8 points decrease in error

    5. Applied egg-rr6.0

      \[\leadsto -4 \cdot \left(\color{blue}{\frac{\frac{b}{x-scale}}{\frac{y-scale}{a}}} \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right) \]

    if 1.69999999999999999e-139 < a < 7.49999999999999971e-39

    1. Initial program 33.4

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

    2. Simplified37.5

      \[\leadsto \color{blue}{\mathsf{fma}\left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} \cdot -4, \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}} \cdot \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}}\right)} \]
      Proof
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 17 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 6 points increase in error, 22 points decrease in error
      (fma.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<= metadata-eval (neg.f64 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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<= distribute-rgt-neg-in_binary64 (neg.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) 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 2 points increase in error, 3 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 7 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 9 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (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 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 3 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))): 7 points increase in error, 5 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (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)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)))): 7 points increase in error, 16 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (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))): 1 points increase in error, 3 points decrease in error
      (Rewrite<= fma-def_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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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)))): 10 points increase in error, 16 points decrease in error
      (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error

    3. Taylor expanded in angle around 0 31.3

      \[\leadsto \color{blue}{-4 \cdot \frac{{a}^{2} \cdot {b}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}}} \]

    4. Simplified3.0

      \[\leadsto \color{blue}{-4 \cdot \left(\left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right) \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)} \]
      Proof
      (*.f64 -4 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))))): 73 points increase in error, 25 points decrease in error
      (*.f64 -4 (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 60 points increase in error, 6 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale))))): 38 points increase in error, 1 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))): 11 points increase in error, 8 points decrease in error

    5. Applied egg-rr3.0

      \[\leadsto -4 \cdot \left(\color{blue}{\frac{a}{\frac{x-scale}{b} \cdot y-scale}} \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right) \]

    6. Applied egg-rr2.6

      \[\leadsto -4 \cdot \left(\frac{a}{\frac{x-scale}{b} \cdot y-scale} \cdot \color{blue}{\frac{\frac{b}{x-scale} \cdot a}{y-scale}}\right) \]

    if 7.49999999999999971e-39 < a < 2.70000000000000003e217

    1. Initial program 46.3

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

    2. Simplified47.9

      \[\leadsto \color{blue}{\mathsf{fma}\left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} \cdot -4, \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}} \cdot \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}}\right)} \]
      Proof
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 17 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 6 points increase in error, 22 points decrease in error
      (fma.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<= metadata-eval (neg.f64 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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<= distribute-rgt-neg-in_binary64 (neg.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) 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 2 points increase in error, 3 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 7 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 9 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (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 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 3 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))): 7 points increase in error, 5 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (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)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)))): 7 points increase in error, 16 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (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))): 1 points increase in error, 3 points decrease in error
      (Rewrite<= fma-def_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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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)))): 10 points increase in error, 16 points decrease in error
      (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error

    3. Taylor expanded in angle around 0 40.6

      \[\leadsto \color{blue}{-4 \cdot \frac{{a}^{2} \cdot {b}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}}} \]

    4. Simplified5.8

      \[\leadsto \color{blue}{-4 \cdot \left(\left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right) \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)} \]
      Proof
      (*.f64 -4 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))))): 73 points increase in error, 25 points decrease in error
      (*.f64 -4 (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 60 points increase in error, 6 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale))))): 38 points increase in error, 1 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))): 11 points increase in error, 8 points decrease in error

    5. Applied egg-rr21.1

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

    6. Simplified16.4

      \[\leadsto -4 \cdot \color{blue}{\frac{-\frac{{\left(\frac{b}{y-scale} \cdot a\right)}^{2}}{x-scale}}{-x-scale}} \]
      Proof
      (/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b y-scale) a) 2) x-scale)) (neg.f64 x-scale)): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (/.f64 (pow.f64 (Rewrite<= associate-/r/_binary64 (/.f64 b (/.f64 y-scale a))) 2) x-scale)) (neg.f64 x-scale)): 16 points increase in error, 15 points decrease in error
      (/.f64 (neg.f64 (/.f64 (pow.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 b a) y-scale)) 2) x-scale)) (neg.f64 x-scale)): 17 points increase in error, 13 points decrease in error
      (/.f64 (neg.f64 (/.f64 (pow.f64 (Rewrite<= associate-*r/_binary64 (*.f64 b (/.f64 a y-scale))) 2) x-scale)) (neg.f64 x-scale)): 14 points increase in error, 16 points decrease in error
      (/.f64 (neg.f64 (/.f64 (Rewrite=> unpow2_binary64 (*.f64 (*.f64 b (/.f64 a y-scale)) (*.f64 b (/.f64 a y-scale)))) x-scale)) (neg.f64 x-scale)): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 b (/.f64 a y-scale)) (Rewrite=> *-commutative_binary64 (*.f64 (/.f64 a y-scale) b))) x-scale)) (neg.f64 x-scale)): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (/.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 (*.f64 b (/.f64 a y-scale)) (/.f64 a y-scale)) b)) x-scale)) (neg.f64 x-scale)): 13 points increase in error, 11 points decrease in error
      (/.f64 (neg.f64 (/.f64 (*.f64 (Rewrite<= associate-*r*_binary64 (*.f64 b (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))) b) x-scale)) (neg.f64 x-scale)): 18 points increase in error, 13 points decrease in error
      (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 b (Rewrite<= unpow2_binary64 (pow.f64 (/.f64 a y-scale) 2))) b) x-scale)) (neg.f64 x-scale)): 0 points increase in error, 0 points decrease in error
      (/.f64 (neg.f64 (Rewrite<= associate-*r/_binary64 (*.f64 (*.f64 b (pow.f64 (/.f64 a y-scale) 2)) (/.f64 b x-scale)))) (neg.f64 x-scale)): 29 points increase in error, 13 points decrease in error
      (/.f64 (neg.f64 (Rewrite<= associate-*r*_binary64 (*.f64 b (*.f64 (pow.f64 (/.f64 a y-scale) 2) (/.f64 b x-scale))))) (neg.f64 x-scale)): 9 points increase in error, 12 points decrease in error
      (/.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 b) (*.f64 (pow.f64 (/.f64 a y-scale) 2) (/.f64 b x-scale)))) (neg.f64 x-scale)): 0 points increase in error, 0 points decrease in error

    7. Applied egg-rr8.3

      \[\leadsto -4 \cdot \frac{-\color{blue}{\frac{\frac{b}{y-scale} \cdot a}{1} \cdot \frac{\frac{b}{y-scale} \cdot a}{x-scale}}}{-x-scale} \]

    if 2.70000000000000003e217 < a

    1. Initial program 64.0

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

    2. Simplified64.0

      \[\leadsto \color{blue}{\mathsf{fma}\left(\frac{{\left(a \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{y-scale \cdot y-scale}, \frac{{\left(a \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2} + {\left(b \cdot \cos \left(\frac{angle}{180} \cdot \pi\right)\right)}^{2}}{x-scale \cdot x-scale} \cdot -4, \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}} \cdot \frac{b \cdot b - a \cdot a}{\frac{\frac{x-scale \cdot y-scale}{\cos \left(\frac{angle}{180} \cdot \pi\right)}}{2 \cdot \sin \left(\frac{angle}{180} \cdot \pi\right)}}\right)} \]
      Proof
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 17 points decrease in error
      (fma.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)) -4) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 6 points increase in error, 22 points decrease in error
      (fma.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<= metadata-eval (neg.f64 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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<= distribute-rgt-neg-in_binary64 (neg.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) 4))) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 2 points increase in error, 3 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 7 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 5 points increase in error, 9 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (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 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 1 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 a 2))) (/.f64 (/.f64 (*.f64 x-scale y-scale) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y-scale x-scale)) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (Rewrite<= associate-*r/_binary64 (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 3 points increase in error, 2 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 2 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))): 7 points increase in error, 5 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) 2) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (Rewrite<= *-commutative_binary64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (*.f64 y-scale (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))))))): 0 points increase in error, 0 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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) (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)))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) y-scale)))): 7 points increase in error, 16 points decrease in error
      (fma.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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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 (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))): 1 points increase in error, 3 points decrease in error
      (Rewrite<= fma-def_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) (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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 (*.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)))): 10 points increase in error, 16 points decrease in error
      (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (neg.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.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 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.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)))): 0 points increase in error, 0 points decrease in error

    3. Taylor expanded in angle around 0 64.0

      \[\leadsto \color{blue}{-4 \cdot \frac{{a}^{2} \cdot {b}^{2}}{{y-scale}^{2} \cdot {x-scale}^{2}}} \]

    4. Simplified12.9

      \[\leadsto \color{blue}{-4 \cdot \left(\left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right) \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)} \]
      Proof
      (*.f64 -4 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= unswap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))))): 73 points increase in error, 25 points decrease in error
      (*.f64 -4 (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 60 points increase in error, 6 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale))))): 38 points increase in error, 1 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale)))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))): 0 points increase in error, 0 points decrease in error
      (*.f64 -4 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))): 11 points increase in error, 8 points decrease in error

    5. Taylor expanded in b around 0 64.0

      \[\leadsto -4 \cdot \color{blue}{\frac{{a}^{2} \cdot {b}^{2}}{{x-scale}^{2} \cdot {y-scale}^{2}}} \]

    6. Simplified14.9

      \[\leadsto -4 \cdot \color{blue}{{\left(a \cdot \frac{\frac{b}{x-scale}}{y-scale}\right)}^{2}} \]
      Proof
      (pow.f64 (*.f64 a (/.f64 (/.f64 b x-scale) y-scale)) 2): 0 points increase in error, 0 points decrease in error
      (pow.f64 (Rewrite<= *-commutative_binary64 (*.f64 (/.f64 (/.f64 b x-scale) y-scale) a)) 2): 0 points increase in error, 0 points decrease in error
      (pow.f64 (Rewrite=> associate-*l/_binary64 (/.f64 (*.f64 (/.f64 b x-scale) a) y-scale)) 2): 30 points increase in error, 24 points decrease in error
      (pow.f64 (Rewrite<= associate-*r/_binary64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale))) 2): 30 points increase in error, 32 points decrease in error
      (Rewrite=> unpow2_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)) (*.f64 (/.f64 b x-scale) (/.f64 a y-scale)))): 0 points increase in error, 0 points decrease in error
      (Rewrite=> swap-sqr_binary64 (*.f64 (*.f64 (/.f64 b x-scale) (/.f64 b x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale)))): 70 points increase in error, 30 points decrease in error
      (*.f64 (Rewrite<= times-frac_binary64 (/.f64 (*.f64 b b) (*.f64 x-scale x-scale))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))): 51 points increase in error, 16 points decrease in error
      (*.f64 (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 b 2)) (*.f64 x-scale x-scale)) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (Rewrite<= unpow2_binary64 (pow.f64 x-scale 2))) (*.f64 (/.f64 a y-scale) (/.f64 a y-scale))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 a a) (*.f64 y-scale y-scale)))): 32 points increase in error, 7 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (Rewrite<= unpow2_binary64 (pow.f64 a 2)) (*.f64 y-scale y-scale))): 0 points increase in error, 0 points decrease in error
      (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2)) (/.f64 (pow.f64 a 2) (Rewrite<= unpow2_binary64 (pow.f64 y-scale 2)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= times-frac_binary64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))): 13 points increase in error, 7 points decrease in error
      (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))): 0 points increase in error, 0 points decrease in error

    7. Applied egg-rr17.5

      \[\leadsto -4 \cdot \color{blue}{\left(\left(\frac{b}{x-scale \cdot y-scale} \cdot a\right) \cdot \left(\frac{b}{x-scale \cdot y-scale} \cdot a\right)\right)} \]

    8. Applied egg-rr23.9

      \[\leadsto -4 \cdot \left(\color{blue}{\frac{\frac{b \cdot a}{x-scale}}{y-scale}} \cdot \left(\frac{b}{x-scale \cdot y-scale} \cdot a\right)\right) \]
  3. Recombined 5 regimes into one program.

  4. Final simplification7.1

    \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq 5 \cdot 10^{-256}:\\ \;\;\;\;-4 \cdot \left(\left(a \cdot \frac{b}{x-scale \cdot y-scale}\right) \cdot \left(a \cdot \frac{b}{x-scale \cdot y-scale}\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-139}:\\ \;\;\;\;-4 \cdot \left(\frac{\frac{b}{x-scale}}{\frac{y-scale}{a}} \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-39}:\\ \;\;\;\;-4 \cdot \left(\frac{a}{y-scale \cdot \frac{x-scale}{b}} \cdot \frac{a \cdot \frac{b}{x-scale}}{y-scale}\right)\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{+217}:\\ \;\;\;\;\frac{\left(a \cdot \frac{b}{y-scale}\right) \cdot \frac{a \cdot \frac{b}{y-scale}}{x-scale}}{-x-scale} \cdot 4\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(\left(a \cdot \frac{b}{x-scale \cdot y-scale}\right) \cdot \frac{\frac{a \cdot b}{x-scale}}{y-scale}\right)\\ \end{array} \]

Alternatives

Alternative 1
Error5.9
Cost7304
\[\begin{array}{l} t_0 := a \cdot \frac{b}{x-scale \cdot y-scale}\\ \mathbf{if}\;a \leq 1.1 \cdot 10^{-255}:\\ \;\;\;\;-4 \cdot \left(t_0 \cdot t_0\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{-141}:\\ \;\;\;\;-4 \cdot \left(\frac{\frac{b}{x-scale}}{\frac{y-scale}{a}} \cdot \left(\frac{b}{x-scale} \cdot \frac{a}{y-scale}\right)\right)\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot {\left(a \cdot \frac{\frac{b}{x-scale}}{y-scale}\right)}^{2}\\ \end{array} \]
Alternative 2
Error6.1
Cost1352
\[\begin{array}{l} t_0 := \frac{b}{x-scale \cdot y-scale}\\ t_1 := \frac{b}{x-scale} \cdot \frac{a}{y-scale}\\ t_2 := -4 \cdot \left(t_1 \cdot t_1\right)\\ \mathbf{if}\;a \leq -3.6 \cdot 10^{-224}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{-256}:\\ \;\;\;\;-4 \cdot \left(a \cdot \left(t_0 \cdot \left(a \cdot t_0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Error6.5
Cost1352
\[\begin{array}{l} t_0 := \frac{b}{x-scale} \cdot \frac{a}{y-scale}\\ t_1 := \frac{b}{x-scale \cdot y-scale}\\ t_2 := a \cdot t_1\\ \mathbf{if}\;a \leq 5 \cdot 10^{-256}:\\ \;\;\;\;-4 \cdot \left(t_2 \cdot t_2\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+211}:\\ \;\;\;\;-4 \cdot \left(t_0 \cdot t_0\right)\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(a \cdot \left(t_1 \cdot t_2\right)\right)\\ \end{array} \]
Alternative 4
Error6.6
Cost1220
\[\begin{array}{l} t_0 := a \cdot \frac{b}{x-scale \cdot y-scale}\\ \mathbf{if}\;angle \leq 5 \cdot 10^{-188}:\\ \;\;\;\;-4 \cdot \left(t_0 \cdot t_0\right)\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(\frac{a}{y-scale \cdot \frac{x-scale}{b}} \cdot \frac{a \cdot \frac{b}{x-scale}}{y-scale}\right)\\ \end{array} \]
Alternative 5
Error8.8
Cost1088
\[\begin{array}{l} t_0 := \frac{b}{x-scale \cdot y-scale}\\ -4 \cdot \left(a \cdot \left(t_0 \cdot \left(a \cdot t_0\right)\right)\right) \end{array} \]
Alternative 6
Error30.4
Cost64
\[0 \]

Error

Reproduce

herbie shell --seed 2022331 
(FPCore (a b angle x-scale y-scale)
  :name "Simplification of discriminant from scale-rotated-ellipse"
  :precision binary64
  (- (* (/ (/ (* (* (* 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 (- (pow b 2.0) (pow a 2.0))) (sin (* (/ angle 180.0) PI))) (cos (* (/ angle 180.0) PI))) x-scale) y-scale)) (* (* 4.0 (/ (/ (+ (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))))