_divideComplex, real part

Percentage Accurate: 61.4% → 76.7%

Time: 20.2s

Alternatives: 17

Speedup: 0.1×

Specification

Math

\[\begin{array}{l} \\ \frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    code = ((x_46re * y_46re) + (x_46im * y_46im)) / ((y_46re * y_46re) + (y_46im * y_46im))
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	return ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im))

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	return Float64(Float64(Float64(x_46_re * y_46_re) + Float64(x_46_im * y_46_im)) / Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im)))
end

MATLAB

function tmp = code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := N[(N[(N[(x$46$re * y$46$re), $MachinePrecision] + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Initial Program: 61.4% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    code = ((x_46re * y_46re) + (x_46im * y_46im)) / ((y_46re * y_46re) + (y_46im * y_46im))
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	return ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im))

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	return Float64(Float64(Float64(x_46_re * y_46_re) + Float64(x_46_im * y_46_im)) / Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im)))
end

MATLAB

function tmp = code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := N[(N[(N[(x$46$re * y$46$re), $MachinePrecision] + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Alternative 1: 76.7% accurate, 0.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := y.re \cdot y.re + y.im \cdot y.im\\ t_1 := \frac{x.re \cdot y.re + x.im \cdot y.im}{t\_0}\\ t_2 := \frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ t_3 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_4 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_5 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{if}\;y.im \leq -1.2 \cdot 10^{+84}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.im \leq -225:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.im \leq -8:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -2.35 \cdot 10^{-5}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq -2.2 \cdot 10^{-5}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.im \leq -7.6 \cdot 10^{-32}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.im \leq -7 \cdot 10^{-35}:\\ \;\;\;\;\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\\ \mathbf{elif}\;y.im \leq -6.2 \cdot 10^{-39}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.im \leq -4.4 \cdot 10^{-43}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -1.3 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq -1.25 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -1.44 \cdot 10^{-92}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq -1.4 \cdot 10^{-92}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -1.45 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re \cdot y.re}{t\_0}\\ \mathbf{elif}\;y.im \leq -2.5 \cdot 10^{-140}:\\ \;\;\;\;\frac{x.re}{y.re} + x.im \cdot \frac{y.im}{{y.re}^{2}}\\ \mathbf{elif}\;y.im \leq -2.4 \cdot 10^{-140}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.im \leq -1.6 \cdot 10^{-172}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.im \leq -1.55 \cdot 10^{-172}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.im \leq -1 \cdot 10^{-237}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.im \leq 1.2 \cdot 10^{-194}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.im \leq 1.25 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq 2.1 \cdot 10^{-143}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.im \leq 2.2 \cdot 10^{-143}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.im \leq 1.1 \cdot 10^{-85}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.im \leq 9.5 \cdot 10^{-52}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.im \leq 5.2 \cdot 10^{-34}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.im \leq 5.2 \cdot 10^{-33}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 9 \cdot 10^{-9}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.im \leq 460:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.im \leq 2.3 \cdot 10^{+27}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.im \leq 2.8 \cdot 10^{+46}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.im \leq 1.22 \cdot 10^{+51}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq 2.05 \cdot 10^{+74}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.im \leq 2.8 \cdot 10^{+103}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.im \leq 3 \cdot 10^{+103}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 1.8 \cdot 10^{+143}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq 1.85 \cdot 10^{+143}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 1.3 \cdot 10^{+174}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.im \leq 1.25 \cdot 10^{+175}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 4.7 \cdot 10^{+235}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.im \leq 4.8 \cdot 10^{+235}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 1.9 \cdot 10^{+271}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.im \leq 1.95 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (+ (* y.re y.re) (* y.im y.im)))
        (t_1 (/ (+ (* x.re y.re) (* x.im y.im)) t_0))
        (t_2 (* (/ y.im (hypot y.re y.im)) (/ x.im (hypot y.re y.im))))
        (t_3 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_4 (* x.re (/ (/ y.re y.im) y.im)))
        (t_5 (/ (+ x.re (* x.im (/ y.im y.re))) y.re)))
   (if (<= y.im -1.2e+84)
     t_2
     (if (<= y.im -225.0)
       t_1
       (if (<= y.im -8.0)
         (/ x.im y.im)
         (if (<= y.im -2.35e-5)
           (/ x.re y.re)
           (if (<= y.im -2.2e-5)
             t_4
             (if (<= y.im -7.6e-32)
               t_1
               (if (<= y.im -7e-35)
                 (/ 1.0 (/ y.im (fma x.re (/ y.re y.im) x.im)))
                 (if (<= y.im -6.2e-39)
                   t_5
                   (if (<= y.im -4.4e-43)
                     (/ x.im y.im)
                     (if (<= y.im -1.3e-84)
                       (/ x.re y.re)
                       (if (<= y.im -1.25e-84)
                         (/ x.im y.im)
                         (if (<= y.im -1.44e-92)
                           (/ x.re y.re)
                           (if (<= y.im -1.4e-92)
                             (/ x.im y.im)
                             (if (<= y.im -1.45e-95)
                               (/ (* x.re y.re) t_0)
                               (if (<= y.im -2.5e-140)
                                 (+
                                  (/ x.re y.re)
                                  (* x.im (/ y.im (pow y.re 2.0))))
                                 (if (<= y.im -2.4e-140)
                                   t_4
                                   (if (<= y.im -1.6e-172)
                                     t_3
                                     (if (<= y.im -1.55e-172)
                                       t_4
                                       (if (<= y.im -1e-237)
                                         (/
                                          (+ x.re (/ x.im (/ y.re y.im)))
                                          y.re)
                                         (if (<= y.im 1.2e-194)
                                           t_3
                                           (if (<= y.im 1.25e-194)
                                             (/ x.im y.im)
                                             (if (<= y.im 2.1e-143)
                                               t_3
                                               (if (<= y.im 2.2e-143)
                                                 t_4
                                                 (if (<= y.im 1.1e-85)
                                                   t_3
                                                   (if (<= y.im 9.5e-52)
                                                     t_2
                                                     (if (<= y.im 5.2e-34)
                                                       t_4
                                                       (if (<= y.im 5.2e-33)
                                                         (/ x.re y.re)
                                                         (if (<= y.im 9e-9)
                                                           t_1
                                                           (if (<= y.im 460.0)
                                                             t_5
                                                             (if (<=
                                                                  y.im
                                                                  2.3e+27)
                                                               t_1
                                                               (if (<=
                                                                    y.im
                                                                    2.8e+46)
                                                                 t_5
                                                                 (if (<=
                                                                      y.im
                                                                      1.22e+51)
                                                                   (/
                                                                    x.im
                                                                    y.im)
                                                                   (if (<=
                                                                        y.im
                                                                        2.05e+74)
                                                                     t_1
                                                                     (if (<=
                                                                          y.im
                                                                          2.8e+103)
                                                                       t_2
                                                                       (if (<=
                                                                            y.im
                                                                            3e+103)
                                                                         (/
                                                                          x.re
                                                                          y.re)
                                                                         (if (<=
                                                                              y.im
                                                                              1.8e+143)
                                                                           (/
                                                                            (+
                                                                             x.im
                                                                             (*
                                                                              x.re
                                                                              (/
                                                                               y.re
                                                                               y.im)))
                                                                            y.im)
                                                                           (if (<=
                                                                                y.im
                                                                                1.85e+143)
                                                                             (/
                                                                              x.re
                                                                              y.re)
                                                                             (if (<=
                                                                                  y.im
                                                                                  1.3e+174)
                                                                               t_2
                                                                               (if (<=
                                                                                    y.im
                                                                                    1.25e+175)
                                                                                 (/
                                                                                  x.re
                                                                                  y.re)
                                                                                 (if (<=
                                                                                      y.im
                                                                                      4.7e+235)
                                                                                   t_2
                                                                                   (if (<=
                                                                                        y.im
                                                                                        4.8e+235)
                                                                                     (/
                                                                                      x.re
                                                                                      y.re)
                                                                                     (if (<=
                                                                                          y.im
                                                                                          1.9e+271)
                                                                                       t_2
                                                                                       (if (<=
                                                                                            y.im
                                                                                            1.95e+271)
                                                                                         (/
                                                                                          x.re
                                                                                          y.re)
                                                                                         (/
                                                                                          x.im
                                                                                          y.im))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	double t_1 = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / t_0;
	double t_2 = (y_46_im / hypot(y_46_re, y_46_im)) * (x_46_im / hypot(y_46_re, y_46_im));
	double t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_4 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_5 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double tmp;
	if (y_46_im <= -1.2e+84) {
		tmp = t_2;
	} else if (y_46_im <= -225.0) {
		tmp = t_1;
	} else if (y_46_im <= -8.0) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_im <= -2.35e-5) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= -2.2e-5) {
		tmp = t_4;
	} else if (y_46_im <= -7.6e-32) {
		tmp = t_1;
	} else if (y_46_im <= -7e-35) {
		tmp = 1.0 / (y_46_im / fma(x_46_re, (y_46_re / y_46_im), x_46_im));
	} else if (y_46_im <= -6.2e-39) {
		tmp = t_5;
	} else if (y_46_im <= -4.4e-43) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_im <= -1.3e-84) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= -1.25e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_im <= -1.44e-92) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= -1.4e-92) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_im <= -1.45e-95) {
		tmp = (x_46_re * y_46_re) / t_0;
	} else if (y_46_im <= -2.5e-140) {
		tmp = (x_46_re / y_46_re) + (x_46_im * (y_46_im / pow(y_46_re, 2.0)));
	} else if (y_46_im <= -2.4e-140) {
		tmp = t_4;
	} else if (y_46_im <= -1.6e-172) {
		tmp = t_3;
	} else if (y_46_im <= -1.55e-172) {
		tmp = t_4;
	} else if (y_46_im <= -1e-237) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_im <= 1.2e-194) {
		tmp = t_3;
	} else if (y_46_im <= 1.25e-194) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_im <= 2.1e-143) {
		tmp = t_3;
	} else if (y_46_im <= 2.2e-143) {
		tmp = t_4;
	} else if (y_46_im <= 1.1e-85) {
		tmp = t_3;
	} else if (y_46_im <= 9.5e-52) {
		tmp = t_2;
	} else if (y_46_im <= 5.2e-34) {
		tmp = t_4;
	} else if (y_46_im <= 5.2e-33) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= 9e-9) {
		tmp = t_1;
	} else if (y_46_im <= 460.0) {
		tmp = t_5;
	} else if (y_46_im <= 2.3e+27) {
		tmp = t_1;
	} else if (y_46_im <= 2.8e+46) {
		tmp = t_5;
	} else if (y_46_im <= 1.22e+51) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_im <= 2.05e+74) {
		tmp = t_1;
	} else if (y_46_im <= 2.8e+103) {
		tmp = t_2;
	} else if (y_46_im <= 3e+103) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= 1.8e+143) {
		tmp = (x_46_im + (x_46_re * (y_46_re / y_46_im))) / y_46_im;
	} else if (y_46_im <= 1.85e+143) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= 1.3e+174) {
		tmp = t_2;
	} else if (y_46_im <= 1.25e+175) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= 4.7e+235) {
		tmp = t_2;
	} else if (y_46_im <= 4.8e+235) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_im <= 1.9e+271) {
		tmp = t_2;
	} else if (y_46_im <= 1.95e+271) {
		tmp = x_46_re / y_46_re;
	} else {
		tmp = x_46_im / y_46_im;
	}
	return tmp;
}

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im))
	t_1 = Float64(Float64(Float64(x_46_re * y_46_re) + Float64(x_46_im * y_46_im)) / t_0)
	t_2 = Float64(Float64(y_46_im / hypot(y_46_re, y_46_im)) * Float64(x_46_im / hypot(y_46_re, y_46_im)))
	t_3 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_4 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_5 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	tmp = 0.0
	if (y_46_im <= -1.2e+84)
		tmp = t_2;
	elseif (y_46_im <= -225.0)
		tmp = t_1;
	elseif (y_46_im <= -8.0)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_im <= -2.35e-5)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= -2.2e-5)
		tmp = t_4;
	elseif (y_46_im <= -7.6e-32)
		tmp = t_1;
	elseif (y_46_im <= -7e-35)
		tmp = Float64(1.0 / Float64(y_46_im / fma(x_46_re, Float64(y_46_re / y_46_im), x_46_im)));
	elseif (y_46_im <= -6.2e-39)
		tmp = t_5;
	elseif (y_46_im <= -4.4e-43)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_im <= -1.3e-84)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= -1.25e-84)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_im <= -1.44e-92)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= -1.4e-92)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_im <= -1.45e-95)
		tmp = Float64(Float64(x_46_re * y_46_re) / t_0);
	elseif (y_46_im <= -2.5e-140)
		tmp = Float64(Float64(x_46_re / y_46_re) + Float64(x_46_im * Float64(y_46_im / (y_46_re ^ 2.0))));
	elseif (y_46_im <= -2.4e-140)
		tmp = t_4;
	elseif (y_46_im <= -1.6e-172)
		tmp = t_3;
	elseif (y_46_im <= -1.55e-172)
		tmp = t_4;
	elseif (y_46_im <= -1e-237)
		tmp = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re);
	elseif (y_46_im <= 1.2e-194)
		tmp = t_3;
	elseif (y_46_im <= 1.25e-194)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_im <= 2.1e-143)
		tmp = t_3;
	elseif (y_46_im <= 2.2e-143)
		tmp = t_4;
	elseif (y_46_im <= 1.1e-85)
		tmp = t_3;
	elseif (y_46_im <= 9.5e-52)
		tmp = t_2;
	elseif (y_46_im <= 5.2e-34)
		tmp = t_4;
	elseif (y_46_im <= 5.2e-33)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= 9e-9)
		tmp = t_1;
	elseif (y_46_im <= 460.0)
		tmp = t_5;
	elseif (y_46_im <= 2.3e+27)
		tmp = t_1;
	elseif (y_46_im <= 2.8e+46)
		tmp = t_5;
	elseif (y_46_im <= 1.22e+51)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_im <= 2.05e+74)
		tmp = t_1;
	elseif (y_46_im <= 2.8e+103)
		tmp = t_2;
	elseif (y_46_im <= 3e+103)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= 1.8e+143)
		tmp = Float64(Float64(x_46_im + Float64(x_46_re * Float64(y_46_re / y_46_im))) / y_46_im);
	elseif (y_46_im <= 1.85e+143)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= 1.3e+174)
		tmp = t_2;
	elseif (y_46_im <= 1.25e+175)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= 4.7e+235)
		tmp = t_2;
	elseif (y_46_im <= 4.8e+235)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_im <= 1.9e+271)
		tmp = t_2;
	elseif (y_46_im <= 1.95e+271)
		tmp = Float64(x_46_re / y_46_re);
	else
		tmp = Float64(x_46_im / y_46_im);
	end
	return tmp
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(N[(N[(x$46$re * y$46$re), $MachinePrecision] + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / t$95$0), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y$46$im / N[Sqrt[y$46$re ^ 2 + y$46$im ^ 2], $MachinePrecision]), $MachinePrecision] * N[(x$46$im / N[Sqrt[y$46$re ^ 2 + y$46$im ^ 2], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$4 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, If[LessEqual[y$46$im, -1.2e+84], t$95$2, If[LessEqual[y$46$im, -225.0], t$95$1, If[LessEqual[y$46$im, -8.0], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, -2.35e-5], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, -2.2e-5], t$95$4, If[LessEqual[y$46$im, -7.6e-32], t$95$1, If[LessEqual[y$46$im, -7e-35], N[(1.0 / N[(y$46$im / N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision] + x$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$im, -6.2e-39], t$95$5, If[LessEqual[y$46$im, -4.4e-43], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, -1.3e-84], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, -1.25e-84], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, -1.44e-92], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, -1.4e-92], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, -1.45e-95], N[(N[(x$46$re * y$46$re), $MachinePrecision] / t$95$0), $MachinePrecision], If[LessEqual[y$46$im, -2.5e-140], N[(N[(x$46$re / y$46$re), $MachinePrecision] + N[(x$46$im * N[(y$46$im / N[Power[y$46$re, 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$im, -2.4e-140], t$95$4, If[LessEqual[y$46$im, -1.6e-172], t$95$3, If[LessEqual[y$46$im, -1.55e-172], t$95$4, If[LessEqual[y$46$im, -1e-237], N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, 1.2e-194], t$95$3, If[LessEqual[y$46$im, 1.25e-194], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, 2.1e-143], t$95$3, If[LessEqual[y$46$im, 2.2e-143], t$95$4, If[LessEqual[y$46$im, 1.1e-85], t$95$3, If[LessEqual[y$46$im, 9.5e-52], t$95$2, If[LessEqual[y$46$im, 5.2e-34], t$95$4, If[LessEqual[y$46$im, 5.2e-33], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, 9e-9], t$95$1, If[LessEqual[y$46$im, 460.0], t$95$5, If[LessEqual[y$46$im, 2.3e+27], t$95$1, If[LessEqual[y$46$im, 2.8e+46], t$95$5, If[LessEqual[y$46$im, 1.22e+51], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, 2.05e+74], t$95$1, If[LessEqual[y$46$im, 2.8e+103], t$95$2, If[LessEqual[y$46$im, 3e+103], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, 1.8e+143], N[(N[(x$46$im + N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision], If[LessEqual[y$46$im, 1.85e+143], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, 1.3e+174], t$95$2, If[LessEqual[y$46$im, 1.25e+175], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, 4.7e+235], t$95$2, If[LessEqual[y$46$im, 4.8e+235], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$im, 1.9e+271], t$95$2, If[LessEqual[y$46$im, 1.95e+271], N[(x$46$re / y$46$re), $MachinePrecision], N[(x$46$im / y$46$im), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y.im < -1.2e84 or 1.1e-85 < y.im < 9.50000000000000007e-52 or 2.05e74 < y.im < 2.80000000000000008e103 or 1.8500000000000001e143 < y.im < 1.2999999999999999e174 or 1.25e175 < y.im < 4.6999999999999999e235 or 4.7999999999999998e235 < y.im < 1.8999999999999999e271

   1. Initial program 43.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around 0 40.6%

      \[\leadsto \frac{\color{blue}{x.im \cdot y.im}}{y.re \cdot y.re + y.im \cdot y.im} \]
   4. Step-by-step derivation

      1. *-commutative 40.6%

         \[\leadsto \frac{\color{blue}{y.im \cdot x.im}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 40.6%

         \[\leadsto \frac{y.im \cdot x.im}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. hypot-undefine 40.6%

         \[\leadsto \frac{y.im \cdot x.im}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      4. hypot-undefine 40.6%

         \[\leadsto \frac{y.im \cdot x.im}{\mathsf{hypot}\left(y.re, y.im\right) \cdot \color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

      5. times-frac 91.2%

         \[\leadsto \color{blue}{\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Applied egg-rr 91.2%

      \[\leadsto \color{blue}{\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   if -1.2e84 < y.im < -225 or -2.1999999999999999e-5 < y.im < -7.60000000000000015e-32 or 5.19999999999999988e-33 < y.im < 8.99999999999999953e-9 or 460 < y.im < 2.3000000000000001e27 or 1.22000000000000005e51 < y.im < 2.05e74

   1. Initial program 92.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   if -225 < y.im < -8 or -6.1999999999999994e-39 < y.im < -4.39999999999999994e-43 or -1.3e-84 < y.im < -1.25e-84 or -1.4400000000000001e-92 < y.im < -1.4e-92 or 1.2e-194 < y.im < 1.2500000000000001e-194 or 2.80000000000000018e46 < y.im < 1.22000000000000005e51 or 1.95e271 < y.im

   1. Initial program 45.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -8 < y.im < -2.34999999999999986e-5 or -4.39999999999999994e-43 < y.im < -1.3e-84 or -1.25e-84 < y.im < -1.4400000000000001e-92 or 5.1999999999999999e-34 < y.im < 5.19999999999999988e-33 or 2.80000000000000008e103 < y.im < 3e103 or 1.8e143 < y.im < 1.8500000000000001e143 or 1.2999999999999999e174 < y.im < 1.25e175 or 4.6999999999999999e235 < y.im < 4.7999999999999998e235 or 1.8999999999999999e271 < y.im < 1.95e271

   1. Initial program 33.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -2.34999999999999986e-5 < y.im < -2.1999999999999999e-5 or -2.50000000000000007e-140 < y.im < -2.39999999999999987e-140 or -1.6000000000000001e-172 < y.im < -1.5500000000000001e-172 or 2.1000000000000001e-143 < y.im < 2.19999999999999989e-143 or 9.50000000000000007e-52 < y.im < 5.1999999999999999e-34

   1. Initial program 83.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 99.5%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.7%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.7%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 83.4%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 83.7%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 83.7%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 83.7%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 83.7%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if -7.60000000000000015e-32 < y.im < -6.99999999999999992e-35

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 99.2%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   if -6.99999999999999992e-35 < y.im < -6.1999999999999994e-39 or 8.99999999999999953e-9 < y.im < 460 or 2.3000000000000001e27 < y.im < 2.80000000000000018e46

   1. Initial program 50.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 99.8%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -1.4e-92 < y.im < -1.45000000000000001e-95

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around inf 100.0%

      \[\leadsto \frac{\color{blue}{x.re \cdot y.re}}{y.re \cdot y.re + y.im \cdot y.im} \]
   4. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   5. Simplified 100.0%

      \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   if -1.45000000000000001e-95 < y.im < -2.50000000000000007e-140

   1. Initial program 99.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around 0 99.7%

      \[\leadsto \color{blue}{\frac{x.re}{y.re} + \frac{x.im \cdot y.im}{{y.re}^{2}}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.re}{y.re} + \color{blue}{x.im \cdot \frac{y.im}{{y.re}^{2}}} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re} + x.im \cdot \frac{y.im}{{y.re}^{2}}} \]

   if -2.39999999999999987e-140 < y.im < -1.6000000000000001e-172 or -9.9999999999999999e-238 < y.im < 1.2e-194 or 1.2500000000000001e-194 < y.im < 2.1000000000000001e-143 or 2.19999999999999989e-143 < y.im < 1.1e-85

   1. Initial program 65.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.6%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 98.6%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 98.6%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 98.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 98.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 100.0%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 100.0%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -1.5500000000000001e-172 < y.im < -9.9999999999999999e-238

   1. Initial program 66.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.9%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 99.9%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 99.9%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 100.0%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   if 3e103 < y.im < 1.8e143

   1. Initial program 67.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 89.3%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
3. Recombined 12 regimes into one program.

4. Final simplification 96.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y.im \leq -1.2 \cdot 10^{+84}:\\ \;\;\;\;\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{elif}\;y.im \leq -225:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.im \leq -8:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -2.35 \cdot 10^{-5}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq -2.2 \cdot 10^{-5}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq -7.6 \cdot 10^{-32}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.im \leq -7 \cdot 10^{-35}:\\ \;\;\;\;\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\\ \mathbf{elif}\;y.im \leq -6.2 \cdot 10^{-39}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq -4.4 \cdot 10^{-43}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -1.3 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq -1.25 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -1.44 \cdot 10^{-92}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq -1.4 \cdot 10^{-92}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq -1.45 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re \cdot y.re}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.im \leq -2.5 \cdot 10^{-140}:\\ \;\;\;\;\frac{x.re}{y.re} + x.im \cdot \frac{y.im}{{y.re}^{2}}\\ \mathbf{elif}\;y.im \leq -2.4 \cdot 10^{-140}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq -1.6 \cdot 10^{-172}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq -1.55 \cdot 10^{-172}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq -1 \cdot 10^{-237}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.im \leq 1.2 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq 1.25 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq 2.1 \cdot 10^{-143}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq 2.2 \cdot 10^{-143}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq 1.1 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq 9.5 \cdot 10^{-52}:\\ \;\;\;\;\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{elif}\;y.im \leq 5.2 \cdot 10^{-34}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq 5.2 \cdot 10^{-33}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 9 \cdot 10^{-9}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.im \leq 460:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq 2.3 \cdot 10^{+27}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.im \leq 2.8 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.im \leq 1.22 \cdot 10^{+51}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.im \leq 2.05 \cdot 10^{+74}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.im \leq 2.8 \cdot 10^{+103}:\\ \;\;\;\;\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{elif}\;y.im \leq 3 \cdot 10^{+103}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 1.8 \cdot 10^{+143}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.im \leq 1.85 \cdot 10^{+143}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 1.3 \cdot 10^{+174}:\\ \;\;\;\;\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{elif}\;y.im \leq 1.25 \cdot 10^{+175}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 4.7 \cdot 10^{+235}:\\ \;\;\;\;\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{elif}\;y.im \leq 4.8 \cdot 10^{+235}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.im \leq 1.9 \cdot 10^{+271}:\\ \;\;\;\;\frac{y.im}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{x.im}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{elif}\;y.im \leq 1.95 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 60.5% accurate, 0.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_1 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_2 := \frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ t_3 := y.re \cdot y.re + y.im \cdot y.im\\ t_4 := \frac{x.re \cdot y.re + x.im \cdot y.im}{t\_3}\\ t_5 := \frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ t_6 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{if}\;t\_4 \leq -\infty:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;t\_4 \leq -2 \cdot 10^{+128}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq -5 \cdot 10^{+122}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq -1 \cdot 10^{+14}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq -0.2:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq -5 \cdot 10^{-81}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq -6 \cdot 10^{-178}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_4 \leq -1.45 \cdot 10^{-182}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;t\_4 \leq -1 \cdot 10^{-215}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq -1 \cdot 10^{-235}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;t\_4 \leq -4 \cdot 10^{-240}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq -5 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq -1 \cdot 10^{-304}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 0:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{-303}:\\ \;\;\;\;\frac{x.re \cdot y.re}{t\_3}\\ \mathbf{elif}\;t\_4 \leq 10^{-293}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 10^{-261}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq 10^{-205}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{-205}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 4 \cdot 10^{-196}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{-176}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq 10^{-170}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 10^{-146}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_4 \leq 2 \cdot 10^{-126}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 4 \cdot 10^{-59}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{-53}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 4 \cdot 10^{-45}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{-33}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq 2 \cdot 10^{-16}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{-14}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq 20000:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_4 \leq 2 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{+40}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{+152}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_4 \leq 10^{+157}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{+188}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t\_4 \leq 10^{+192}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_4 \leq 10^{+231}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;t\_4 \leq 5 \cdot 10^{+300}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_4 \leq \infty:\\ \;\;\;\;t\_5\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_1 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_2 (/ (+ x.re (/ x.im (/ y.re y.im))) y.re))
        (t_3 (+ (* y.re y.re) (* y.im y.im)))
        (t_4 (/ (+ (* x.re y.re) (* x.im y.im)) t_3))
        (t_5 (/ (+ x.im (* x.re (/ y.re y.im))) y.im))
        (t_6 (* x.re (/ (/ y.re y.im) y.im))))
   (if (<= t_4 (- INFINITY))
     t_0
     (if (<= t_4 -2e+128)
       t_4
       (if (<= t_4 -5e+122)
         (/ x.re y.re)
         (if (<= t_4 -1e+14)
           t_4
           (if (<= t_4 -0.2)
             (/ x.re y.re)
             (if (<= t_4 -5e-81)
               t_4
               (if (<= t_4 -6e-178)
                 t_5
                 (if (<= t_4 -1.45e-182)
                   t_0
                   (if (<= t_4 -1e-215)
                     t_4
                     (if (<= t_4 -1e-235)
                       t_0
                       (if (<= t_4 -4e-240)
                         (/ x.im y.im)
                         (if (<= t_4 -5e-286)
                           (/ x.re y.re)
                           (if (<= t_4 -1e-304)
                             (/ x.im y.im)
                             (if (<= t_4 0.0)
                               t_1
                               (if (<= t_4 5e-303)
                                 (/ (* x.re y.re) t_3)
                                 (if (<= t_4 1e-293)
                                   (/ x.im y.im)
                                   (if (<= t_4 1e-261)
                                     t_4
                                     (if (<= t_4 1e-205)
                                       t_1
                                       (if (<= t_4 5e-205)
                                         (/ x.im y.im)
                                         (if (<= t_4 4e-196)
                                           (/
                                            1.0
                                            (/ y.im (* y.re (/ x.re y.im))))
                                           (if (<= t_4 5e-176)
                                             (/ x.re y.re)
                                             (if (<= t_4 1e-170)
                                               (/ x.im y.im)
                                               (if (<= t_4 1e-146)
                                                 t_1
                                                 (if (<= t_4 2e-126)
                                                   t_4
                                                   (if (<= t_4 1e-114)
                                                     (/ x.im y.im)
                                                     (if (<= t_4 4e-59)
                                                       t_4
                                                       (if (<= t_4 5e-53)
                                                         (/ x.im y.im)
                                                         (if (<= t_4 4e-45)
                                                           t_0
                                                           (if (<= t_4 5e-33)
                                                             t_4
                                                             (if (<= t_4 2e-16)
                                                               t_5
                                                               (if (<=
                                                                    t_4
                                                                    5e-14)
                                                                 (/ x.re y.re)
                                                                 (if (<=
                                                                      t_4
                                                                      20000.0)
                                                                   t_5
                                                                   (if (<=
                                                                        t_4
                                                                        2e+25)
                                                                     (/
                                                                      x.re
                                                                      y.re)
                                                                     (if (<=
                                                                          t_4
                                                                          5e+40)
                                                                       t_6
                                                                       (if (<=
                                                                            t_4
                                                                            5e+152)
                                                                         t_1
                                                                         (if (<=
                                                                              t_4
                                                                              1e+157)
                                                                           t_6
                                                                           (if (<=
                                                                                t_4
                                                                                5e+188)
                                                                             t_2
                                                                             (if (<=
                                                                                  t_4
                                                                                  1e+192)
                                                                               (/
                                                                                x.im
                                                                                y.im)
                                                                               (if (<=
                                                                                    t_4
                                                                                    1e+231)
                                                                                 t_4
                                                                                 (if (<=
                                                                                      t_4
                                                                                      5e+300)
                                                                                   (/
                                                                                    x.re
                                                                                    y.re)
                                                                                   (if (<=
                                                                                        t_4
                                                                                        INFINITY)
                                                                                     t_5
                                                                                     t_2)))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_2 = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	double t_3 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	double t_4 = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / t_3;
	double t_5 = (x_46_im + (x_46_re * (y_46_re / y_46_im))) / y_46_im;
	double t_6 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = t_0;
	} else if (t_4 <= -2e+128) {
		tmp = t_4;
	} else if (t_4 <= -5e+122) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= -1e+14) {
		tmp = t_4;
	} else if (t_4 <= -0.2) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= -5e-81) {
		tmp = t_4;
	} else if (t_4 <= -6e-178) {
		tmp = t_5;
	} else if (t_4 <= -1.45e-182) {
		tmp = t_0;
	} else if (t_4 <= -1e-215) {
		tmp = t_4;
	} else if (t_4 <= -1e-235) {
		tmp = t_0;
	} else if (t_4 <= -4e-240) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= -5e-286) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= -1e-304) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 0.0) {
		tmp = t_1;
	} else if (t_4 <= 5e-303) {
		tmp = (x_46_re * y_46_re) / t_3;
	} else if (t_4 <= 1e-293) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 1e-261) {
		tmp = t_4;
	} else if (t_4 <= 1e-205) {
		tmp = t_1;
	} else if (t_4 <= 5e-205) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 4e-196) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (t_4 <= 5e-176) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= 1e-170) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 1e-146) {
		tmp = t_1;
	} else if (t_4 <= 2e-126) {
		tmp = t_4;
	} else if (t_4 <= 1e-114) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 4e-59) {
		tmp = t_4;
	} else if (t_4 <= 5e-53) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 4e-45) {
		tmp = t_0;
	} else if (t_4 <= 5e-33) {
		tmp = t_4;
	} else if (t_4 <= 2e-16) {
		tmp = t_5;
	} else if (t_4 <= 5e-14) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= 20000.0) {
		tmp = t_5;
	} else if (t_4 <= 2e+25) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= 5e+40) {
		tmp = t_6;
	} else if (t_4 <= 5e+152) {
		tmp = t_1;
	} else if (t_4 <= 1e+157) {
		tmp = t_6;
	} else if (t_4 <= 5e+188) {
		tmp = t_2;
	} else if (t_4 <= 1e+192) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 1e+231) {
		tmp = t_4;
	} else if (t_4 <= 5e+300) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= ((double) INFINITY)) {
		tmp = t_5;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_2 = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	double t_3 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	double t_4 = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / t_3;
	double t_5 = (x_46_im + (x_46_re * (y_46_re / y_46_im))) / y_46_im;
	double t_6 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (t_4 <= -Double.POSITIVE_INFINITY) {
		tmp = t_0;
	} else if (t_4 <= -2e+128) {
		tmp = t_4;
	} else if (t_4 <= -5e+122) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= -1e+14) {
		tmp = t_4;
	} else if (t_4 <= -0.2) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= -5e-81) {
		tmp = t_4;
	} else if (t_4 <= -6e-178) {
		tmp = t_5;
	} else if (t_4 <= -1.45e-182) {
		tmp = t_0;
	} else if (t_4 <= -1e-215) {
		tmp = t_4;
	} else if (t_4 <= -1e-235) {
		tmp = t_0;
	} else if (t_4 <= -4e-240) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= -5e-286) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= -1e-304) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 0.0) {
		tmp = t_1;
	} else if (t_4 <= 5e-303) {
		tmp = (x_46_re * y_46_re) / t_3;
	} else if (t_4 <= 1e-293) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 1e-261) {
		tmp = t_4;
	} else if (t_4 <= 1e-205) {
		tmp = t_1;
	} else if (t_4 <= 5e-205) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 4e-196) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (t_4 <= 5e-176) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= 1e-170) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 1e-146) {
		tmp = t_1;
	} else if (t_4 <= 2e-126) {
		tmp = t_4;
	} else if (t_4 <= 1e-114) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 4e-59) {
		tmp = t_4;
	} else if (t_4 <= 5e-53) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 4e-45) {
		tmp = t_0;
	} else if (t_4 <= 5e-33) {
		tmp = t_4;
	} else if (t_4 <= 2e-16) {
		tmp = t_5;
	} else if (t_4 <= 5e-14) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= 20000.0) {
		tmp = t_5;
	} else if (t_4 <= 2e+25) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= 5e+40) {
		tmp = t_6;
	} else if (t_4 <= 5e+152) {
		tmp = t_1;
	} else if (t_4 <= 1e+157) {
		tmp = t_6;
	} else if (t_4 <= 5e+188) {
		tmp = t_2;
	} else if (t_4 <= 1e+192) {
		tmp = x_46_im / y_46_im;
	} else if (t_4 <= 1e+231) {
		tmp = t_4;
	} else if (t_4 <= 5e+300) {
		tmp = x_46_re / y_46_re;
	} else if (t_4 <= Double.POSITIVE_INFINITY) {
		tmp = t_5;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re
	t_1 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re
	t_2 = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re
	t_3 = (y_46_re * y_46_re) + (y_46_im * y_46_im)
	t_4 = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / t_3
	t_5 = (x_46_im + (x_46_re * (y_46_re / y_46_im))) / y_46_im
	t_6 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	tmp = 0
	if t_4 <= -math.inf:
		tmp = t_0
	elif t_4 <= -2e+128:
		tmp = t_4
	elif t_4 <= -5e+122:
		tmp = x_46_re / y_46_re
	elif t_4 <= -1e+14:
		tmp = t_4
	elif t_4 <= -0.2:
		tmp = x_46_re / y_46_re
	elif t_4 <= -5e-81:
		tmp = t_4
	elif t_4 <= -6e-178:
		tmp = t_5
	elif t_4 <= -1.45e-182:
		tmp = t_0
	elif t_4 <= -1e-215:
		tmp = t_4
	elif t_4 <= -1e-235:
		tmp = t_0
	elif t_4 <= -4e-240:
		tmp = x_46_im / y_46_im
	elif t_4 <= -5e-286:
		tmp = x_46_re / y_46_re
	elif t_4 <= -1e-304:
		tmp = x_46_im / y_46_im
	elif t_4 <= 0.0:
		tmp = t_1
	elif t_4 <= 5e-303:
		tmp = (x_46_re * y_46_re) / t_3
	elif t_4 <= 1e-293:
		tmp = x_46_im / y_46_im
	elif t_4 <= 1e-261:
		tmp = t_4
	elif t_4 <= 1e-205:
		tmp = t_1
	elif t_4 <= 5e-205:
		tmp = x_46_im / y_46_im
	elif t_4 <= 4e-196:
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)))
	elif t_4 <= 5e-176:
		tmp = x_46_re / y_46_re
	elif t_4 <= 1e-170:
		tmp = x_46_im / y_46_im
	elif t_4 <= 1e-146:
		tmp = t_1
	elif t_4 <= 2e-126:
		tmp = t_4
	elif t_4 <= 1e-114:
		tmp = x_46_im / y_46_im
	elif t_4 <= 4e-59:
		tmp = t_4
	elif t_4 <= 5e-53:
		tmp = x_46_im / y_46_im
	elif t_4 <= 4e-45:
		tmp = t_0
	elif t_4 <= 5e-33:
		tmp = t_4
	elif t_4 <= 2e-16:
		tmp = t_5
	elif t_4 <= 5e-14:
		tmp = x_46_re / y_46_re
	elif t_4 <= 20000.0:
		tmp = t_5
	elif t_4 <= 2e+25:
		tmp = x_46_re / y_46_re
	elif t_4 <= 5e+40:
		tmp = t_6
	elif t_4 <= 5e+152:
		tmp = t_1
	elif t_4 <= 1e+157:
		tmp = t_6
	elif t_4 <= 5e+188:
		tmp = t_2
	elif t_4 <= 1e+192:
		tmp = x_46_im / y_46_im
	elif t_4 <= 1e+231:
		tmp = t_4
	elif t_4 <= 5e+300:
		tmp = x_46_re / y_46_re
	elif t_4 <= math.inf:
		tmp = t_5
	else:
		tmp = t_2
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_1 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_2 = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re)
	t_3 = Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im))
	t_4 = Float64(Float64(Float64(x_46_re * y_46_re) + Float64(x_46_im * y_46_im)) / t_3)
	t_5 = Float64(Float64(x_46_im + Float64(x_46_re * Float64(y_46_re / y_46_im))) / y_46_im)
	t_6 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = t_0;
	elseif (t_4 <= -2e+128)
		tmp = t_4;
	elseif (t_4 <= -5e+122)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= -1e+14)
		tmp = t_4;
	elseif (t_4 <= -0.2)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= -5e-81)
		tmp = t_4;
	elseif (t_4 <= -6e-178)
		tmp = t_5;
	elseif (t_4 <= -1.45e-182)
		tmp = t_0;
	elseif (t_4 <= -1e-215)
		tmp = t_4;
	elseif (t_4 <= -1e-235)
		tmp = t_0;
	elseif (t_4 <= -4e-240)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= -5e-286)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= -1e-304)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 0.0)
		tmp = t_1;
	elseif (t_4 <= 5e-303)
		tmp = Float64(Float64(x_46_re * y_46_re) / t_3);
	elseif (t_4 <= 1e-293)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 1e-261)
		tmp = t_4;
	elseif (t_4 <= 1e-205)
		tmp = t_1;
	elseif (t_4 <= 5e-205)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 4e-196)
		tmp = Float64(1.0 / Float64(y_46_im / Float64(y_46_re * Float64(x_46_re / y_46_im))));
	elseif (t_4 <= 5e-176)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= 1e-170)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 1e-146)
		tmp = t_1;
	elseif (t_4 <= 2e-126)
		tmp = t_4;
	elseif (t_4 <= 1e-114)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 4e-59)
		tmp = t_4;
	elseif (t_4 <= 5e-53)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 4e-45)
		tmp = t_0;
	elseif (t_4 <= 5e-33)
		tmp = t_4;
	elseif (t_4 <= 2e-16)
		tmp = t_5;
	elseif (t_4 <= 5e-14)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= 20000.0)
		tmp = t_5;
	elseif (t_4 <= 2e+25)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= 5e+40)
		tmp = t_6;
	elseif (t_4 <= 5e+152)
		tmp = t_1;
	elseif (t_4 <= 1e+157)
		tmp = t_6;
	elseif (t_4 <= 5e+188)
		tmp = t_2;
	elseif (t_4 <= 1e+192)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_4 <= 1e+231)
		tmp = t_4;
	elseif (t_4 <= 5e+300)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_4 <= Inf)
		tmp = t_5;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	t_1 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	t_2 = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	t_3 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	t_4 = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / t_3;
	t_5 = (x_46_im + (x_46_re * (y_46_re / y_46_im))) / y_46_im;
	t_6 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	tmp = 0.0;
	if (t_4 <= -Inf)
		tmp = t_0;
	elseif (t_4 <= -2e+128)
		tmp = t_4;
	elseif (t_4 <= -5e+122)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= -1e+14)
		tmp = t_4;
	elseif (t_4 <= -0.2)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= -5e-81)
		tmp = t_4;
	elseif (t_4 <= -6e-178)
		tmp = t_5;
	elseif (t_4 <= -1.45e-182)
		tmp = t_0;
	elseif (t_4 <= -1e-215)
		tmp = t_4;
	elseif (t_4 <= -1e-235)
		tmp = t_0;
	elseif (t_4 <= -4e-240)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= -5e-286)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= -1e-304)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 0.0)
		tmp = t_1;
	elseif (t_4 <= 5e-303)
		tmp = (x_46_re * y_46_re) / t_3;
	elseif (t_4 <= 1e-293)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 1e-261)
		tmp = t_4;
	elseif (t_4 <= 1e-205)
		tmp = t_1;
	elseif (t_4 <= 5e-205)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 4e-196)
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	elseif (t_4 <= 5e-176)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= 1e-170)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 1e-146)
		tmp = t_1;
	elseif (t_4 <= 2e-126)
		tmp = t_4;
	elseif (t_4 <= 1e-114)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 4e-59)
		tmp = t_4;
	elseif (t_4 <= 5e-53)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 4e-45)
		tmp = t_0;
	elseif (t_4 <= 5e-33)
		tmp = t_4;
	elseif (t_4 <= 2e-16)
		tmp = t_5;
	elseif (t_4 <= 5e-14)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= 20000.0)
		tmp = t_5;
	elseif (t_4 <= 2e+25)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= 5e+40)
		tmp = t_6;
	elseif (t_4 <= 5e+152)
		tmp = t_1;
	elseif (t_4 <= 1e+157)
		tmp = t_6;
	elseif (t_4 <= 5e+188)
		tmp = t_2;
	elseif (t_4 <= 1e+192)
		tmp = x_46_im / y_46_im;
	elseif (t_4 <= 1e+231)
		tmp = t_4;
	elseif (t_4 <= 5e+300)
		tmp = x_46_re / y_46_re;
	elseif (t_4 <= Inf)
		tmp = t_5;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(N[(x$46$re * y$46$re), $MachinePrecision] + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / t$95$3), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x$46$im + N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$6 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], t$95$0, If[LessEqual[t$95$4, -2e+128], t$95$4, If[LessEqual[t$95$4, -5e+122], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, -1e+14], t$95$4, If[LessEqual[t$95$4, -0.2], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, -5e-81], t$95$4, If[LessEqual[t$95$4, -6e-178], t$95$5, If[LessEqual[t$95$4, -1.45e-182], t$95$0, If[LessEqual[t$95$4, -1e-215], t$95$4, If[LessEqual[t$95$4, -1e-235], t$95$0, If[LessEqual[t$95$4, -4e-240], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, -5e-286], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, -1e-304], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 0.0], t$95$1, If[LessEqual[t$95$4, 5e-303], N[(N[(x$46$re * y$46$re), $MachinePrecision] / t$95$3), $MachinePrecision], If[LessEqual[t$95$4, 1e-293], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 1e-261], t$95$4, If[LessEqual[t$95$4, 1e-205], t$95$1, If[LessEqual[t$95$4, 5e-205], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 4e-196], N[(1.0 / N[(y$46$im / N[(y$46$re * N[(x$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 5e-176], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, 1e-170], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 1e-146], t$95$1, If[LessEqual[t$95$4, 2e-126], t$95$4, If[LessEqual[t$95$4, 1e-114], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 4e-59], t$95$4, If[LessEqual[t$95$4, 5e-53], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 4e-45], t$95$0, If[LessEqual[t$95$4, 5e-33], t$95$4, If[LessEqual[t$95$4, 2e-16], t$95$5, If[LessEqual[t$95$4, 5e-14], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, 20000.0], t$95$5, If[LessEqual[t$95$4, 2e+25], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, 5e+40], t$95$6, If[LessEqual[t$95$4, 5e+152], t$95$1, If[LessEqual[t$95$4, 1e+157], t$95$6, If[LessEqual[t$95$4, 5e+188], t$95$2, If[LessEqual[t$95$4, 1e+192], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$4, 1e+231], t$95$4, If[LessEqual[t$95$4, 5e+300], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$4, Infinity], t$95$5, t$95$2]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -inf.0 or -5.9999999999999997e-178 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -1.44999999999999993e-182 or -1.00000000000000004e-215 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -9.9999999999999996e-236 or 5e-53 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 3.99999999999999994e-45

   1. Initial program 62.5%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 84.3%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 89.6%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 89.6%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -inf.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -2.0000000000000002e128 or -4.99999999999999989e122 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -1e14 or -0.20000000000000001 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -4.99999999999999981e-81 or -1.44999999999999993e-182 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -1.00000000000000004e-215 or 1.0000000000000001e-293 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 9.99999999999999984e-262 or 1.00000000000000003e-146 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.9999999999999999e-126 or 1.0000000000000001e-114 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 4.0000000000000001e-59 or 3.99999999999999994e-45 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000028e-33 or 1.00000000000000004e192 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.0000000000000001e231

   1. Initial program 99.8%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   if -2.0000000000000002e128 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -4.99999999999999989e122 or -1e14 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -0.20000000000000001 or -3.9999999999999999e-240 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -5.00000000000000037e-286 or 4.0000000000000002e-196 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5e-176 or 2e-16 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.0000000000000002e-14 or 2e4 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 2.00000000000000018e25 or 1.0000000000000001e231 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000026e300

   1. Initial program 93.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -4.99999999999999981e-81 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -5.9999999999999997e-178 or 5.00000000000000028e-33 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 2e-16 or 5.0000000000000002e-14 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 2e4 or 5.00000000000000026e300 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < +inf.0

   1. Initial program 57.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 80.7%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 80.8%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 80.8%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -9.9999999999999996e-236 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -3.9999999999999999e-240 or -5.00000000000000037e-286 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -9.99999999999999971e-305 or 4.9999999999999998e-303 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.0000000000000001e-293 or 1e-205 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000001e-205 or 5e-176 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 9.99999999999999983e-171 or 1.9999999999999999e-126 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.0000000000000001e-114 or 4.0000000000000001e-59 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5e-53 or 5.0000000000000001e188 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.00000000000000004e192

   1. Initial program 99.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -9.99999999999999971e-305 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -0.0 or 9.99999999999999984e-262 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1e-205 or 9.99999999999999983e-171 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.00000000000000003e-146 or 5.00000000000000003e40 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5e152

   1. Initial program 61.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 67.6%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 66.5%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 66.5%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 66.5%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 66.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 66.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 67.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 67.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -0.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 4.9999999999999998e-303

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around inf 100.0%

      \[\leadsto \frac{\color{blue}{x.re \cdot y.re}}{y.re \cdot y.re + y.im \cdot y.im} \]
   4. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   5. Simplified 100.0%

      \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   if 5.00000000000000001e-205 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 4.0000000000000002e-196

   1. Initial program 98.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   10. Taylor expanded in x.re around inf 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{\frac{x.re \cdot y.re}{y.im}}}} \]
   11. Step-by-step derivation

       1. *-commutative 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\frac{\color{blue}{y.re \cdot x.re}}{y.im}}} \]

       2. associate-/l* 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   12. Simplified 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   if 2.00000000000000018e25 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000003e40 or 5e152 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 9.99999999999999983e156

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 99.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 99.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 99.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 9.99999999999999983e156 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.0000000000000001e188 or +inf.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

   1. Initial program 4.5%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 46.9%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 58.3%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 58.3%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 58.3%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 58.4%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 58.4%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
3. Recombined 10 regimes into one program.

4. Final simplification 78.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -\infty:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -2 \cdot 10^{+128}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -5 \cdot 10^{+122}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{+14}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -0.2:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -5 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -6 \cdot 10^{-178}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1.45 \cdot 10^{-182}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{-215}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{-235}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -4 \cdot 10^{-240}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -5 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{-304}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 0:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-303}:\\ \;\;\;\;\frac{x.re \cdot y.re}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-293}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-261}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-205}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-205}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 4 \cdot 10^{-196}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-176}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-170}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-146}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 2 \cdot 10^{-126}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 4 \cdot 10^{-59}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-53}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 4 \cdot 10^{-45}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-33}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 2 \cdot 10^{-16}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-14}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 20000:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 2 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+40}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+152}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{+157}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{+192}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{+231}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+300}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq \infty:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 3: 60.6% accurate, 0.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ t_1 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_2 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_3 := \frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ t_4 := y.re \cdot y.re + y.im \cdot y.im\\ t_5 := \frac{x.re \cdot y.re + x.im \cdot y.im}{t\_4}\\ t_6 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{if}\;t\_5 \leq -\infty:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_5 \leq -2 \cdot 10^{+128}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq -5 \cdot 10^{+122}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq -1 \cdot 10^{+14}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq -0.2:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq -5 \cdot 10^{-81}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq -6 \cdot 10^{-178}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t\_5 \leq -1.45 \cdot 10^{-182}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_5 \leq -1 \cdot 10^{-215}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq -1 \cdot 10^{-235}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_5 \leq -4 \cdot 10^{-240}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq -5 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq -1 \cdot 10^{-304}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq 0:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{-303}:\\ \;\;\;\;\frac{x.re \cdot y.re}{t\_4}\\ \mathbf{elif}\;t\_5 \leq 10^{-293}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq 10^{-261}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq 10^{-205}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t\_5 \leq 4 \cdot 10^{-196}:\\ \;\;\;\;\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{-176}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq 10^{-170}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq 10^{-146}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t\_5 \leq 2 \cdot 10^{-126}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq 4 \cdot 10^{-59}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{-53}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq 4 \cdot 10^{-45}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{-33}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq 2 \cdot 10^{-16}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{-14}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq 20000:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t\_5 \leq 2 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{+40}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{+152}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t\_5 \leq 10^{+157}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{+188}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;t\_5 \leq 10^{+192}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;t\_5 \leq 10^{+231}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;t\_5 \leq 5 \cdot 10^{+300}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;t\_5 \leq \infty:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (+ x.re (/ x.im (/ y.re y.im))) y.re))
        (t_1 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_2 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_3 (/ (+ x.im (* x.re (/ y.re y.im))) y.im))
        (t_4 (+ (* y.re y.re) (* y.im y.im)))
        (t_5 (/ (+ (* x.re y.re) (* x.im y.im)) t_4))
        (t_6 (* x.re (/ (/ y.re y.im) y.im))))
   (if (<= t_5 (- INFINITY))
     t_1
     (if (<= t_5 -2e+128)
       t_5
       (if (<= t_5 -5e+122)
         (/ x.re y.re)
         (if (<= t_5 -1e+14)
           t_5
           (if (<= t_5 -0.2)
             (/ x.re y.re)
             (if (<= t_5 -5e-81)
               t_5
               (if (<= t_5 -6e-178)
                 t_3
                 (if (<= t_5 -1.45e-182)
                   t_1
                   (if (<= t_5 -1e-215)
                     t_5
                     (if (<= t_5 -1e-235)
                       t_1
                       (if (<= t_5 -4e-240)
                         (/ x.im y.im)
                         (if (<= t_5 -5e-286)
                           (/ x.re y.re)
                           (if (<= t_5 -1e-304)
                             (/ x.im y.im)
                             (if (<= t_5 0.0)
                               t_2
                               (if (<= t_5 5e-303)
                                 (/ (* x.re y.re) t_4)
                                 (if (<= t_5 1e-293)
                                   (/ x.im y.im)
                                   (if (<= t_5 1e-261)
                                     t_5
                                     (if (<= t_5 1e-205)
                                       t_2
                                       (if (<= t_5 4e-196)
                                         (/
                                          1.0
                                          (/
                                           y.im
                                           (fma x.re (/ y.re y.im) x.im)))
                                         (if (<= t_5 5e-176)
                                           (/ x.re y.re)
                                           (if (<= t_5 1e-170)
                                             (/ x.im y.im)
                                             (if (<= t_5 1e-146)
                                               t_2
                                               (if (<= t_5 2e-126)
                                                 t_5
                                                 (if (<= t_5 1e-114)
                                                   (/ x.im y.im)
                                                   (if (<= t_5 4e-59)
                                                     t_5
                                                     (if (<= t_5 5e-53)
                                                       (/ x.im y.im)
                                                       (if (<= t_5 4e-45)
                                                         t_1
                                                         (if (<= t_5 5e-33)
                                                           t_5
                                                           (if (<= t_5 2e-16)
                                                             t_3
                                                             (if (<= t_5 5e-14)
                                                               (/ x.re y.re)
                                                               (if (<=
                                                                    t_5
                                                                    20000.0)
                                                                 t_3
                                                                 (if (<=
                                                                      t_5
                                                                      2e+25)
                                                                   (/
                                                                    x.re
                                                                    y.re)
                                                                   (if (<=
                                                                        t_5
                                                                        5e+40)
                                                                     t_6
                                                                     (if (<=
                                                                          t_5
                                                                          5e+152)
                                                                       t_2
                                                                       (if (<=
                                                                            t_5
                                                                            1e+157)
                                                                         t_6
                                                                         (if (<=
                                                                              t_5
                                                                              5e+188)
                                                                           t_0
                                                                           (if (<=
                                                                                t_5
                                                                                1e+192)
                                                                             (/
                                                                              x.im
                                                                              y.im)
                                                                             (if (<=
                                                                                  t_5
                                                                                  1e+231)
                                                                               t_5
                                                                               (if (<=
                                                                                    t_5
                                                                                    5e+300)
                                                                                 (/
                                                                                  x.re
                                                                                  y.re)
                                                                                 (if (<=
                                                                                      t_5
                                                                                      INFINITY)
                                                                                   t_3
                                                                                   t_0))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	double t_1 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_2 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_3 = (x_46_im + (x_46_re * (y_46_re / y_46_im))) / y_46_im;
	double t_4 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	double t_5 = ((x_46_re * y_46_re) + (x_46_im * y_46_im)) / t_4;
	double t_6 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (t_5 <= -((double) INFINITY)) {
		tmp = t_1;
	} else if (t_5 <= -2e+128) {
		tmp = t_5;
	} else if (t_5 <= -5e+122) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= -1e+14) {
		tmp = t_5;
	} else if (t_5 <= -0.2) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= -5e-81) {
		tmp = t_5;
	} else if (t_5 <= -6e-178) {
		tmp = t_3;
	} else if (t_5 <= -1.45e-182) {
		tmp = t_1;
	} else if (t_5 <= -1e-215) {
		tmp = t_5;
	} else if (t_5 <= -1e-235) {
		tmp = t_1;
	} else if (t_5 <= -4e-240) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= -5e-286) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= -1e-304) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= 0.0) {
		tmp = t_2;
	} else if (t_5 <= 5e-303) {
		tmp = (x_46_re * y_46_re) / t_4;
	} else if (t_5 <= 1e-293) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= 1e-261) {
		tmp = t_5;
	} else if (t_5 <= 1e-205) {
		tmp = t_2;
	} else if (t_5 <= 4e-196) {
		tmp = 1.0 / (y_46_im / fma(x_46_re, (y_46_re / y_46_im), x_46_im));
	} else if (t_5 <= 5e-176) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= 1e-170) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= 1e-146) {
		tmp = t_2;
	} else if (t_5 <= 2e-126) {
		tmp = t_5;
	} else if (t_5 <= 1e-114) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= 4e-59) {
		tmp = t_5;
	} else if (t_5 <= 5e-53) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= 4e-45) {
		tmp = t_1;
	} else if (t_5 <= 5e-33) {
		tmp = t_5;
	} else if (t_5 <= 2e-16) {
		tmp = t_3;
	} else if (t_5 <= 5e-14) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= 20000.0) {
		tmp = t_3;
	} else if (t_5 <= 2e+25) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= 5e+40) {
		tmp = t_6;
	} else if (t_5 <= 5e+152) {
		tmp = t_2;
	} else if (t_5 <= 1e+157) {
		tmp = t_6;
	} else if (t_5 <= 5e+188) {
		tmp = t_0;
	} else if (t_5 <= 1e+192) {
		tmp = x_46_im / y_46_im;
	} else if (t_5 <= 1e+231) {
		tmp = t_5;
	} else if (t_5 <= 5e+300) {
		tmp = x_46_re / y_46_re;
	} else if (t_5 <= ((double) INFINITY)) {
		tmp = t_3;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re)
	t_1 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_2 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_3 = Float64(Float64(x_46_im + Float64(x_46_re * Float64(y_46_re / y_46_im))) / y_46_im)
	t_4 = Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im))
	t_5 = Float64(Float64(Float64(x_46_re * y_46_re) + Float64(x_46_im * y_46_im)) / t_4)
	t_6 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	tmp = 0.0
	if (t_5 <= Float64(-Inf))
		tmp = t_1;
	elseif (t_5 <= -2e+128)
		tmp = t_5;
	elseif (t_5 <= -5e+122)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= -1e+14)
		tmp = t_5;
	elseif (t_5 <= -0.2)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= -5e-81)
		tmp = t_5;
	elseif (t_5 <= -6e-178)
		tmp = t_3;
	elseif (t_5 <= -1.45e-182)
		tmp = t_1;
	elseif (t_5 <= -1e-215)
		tmp = t_5;
	elseif (t_5 <= -1e-235)
		tmp = t_1;
	elseif (t_5 <= -4e-240)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= -5e-286)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= -1e-304)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= 0.0)
		tmp = t_2;
	elseif (t_5 <= 5e-303)
		tmp = Float64(Float64(x_46_re * y_46_re) / t_4);
	elseif (t_5 <= 1e-293)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= 1e-261)
		tmp = t_5;
	elseif (t_5 <= 1e-205)
		tmp = t_2;
	elseif (t_5 <= 4e-196)
		tmp = Float64(1.0 / Float64(y_46_im / fma(x_46_re, Float64(y_46_re / y_46_im), x_46_im)));
	elseif (t_5 <= 5e-176)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= 1e-170)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= 1e-146)
		tmp = t_2;
	elseif (t_5 <= 2e-126)
		tmp = t_5;
	elseif (t_5 <= 1e-114)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= 4e-59)
		tmp = t_5;
	elseif (t_5 <= 5e-53)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= 4e-45)
		tmp = t_1;
	elseif (t_5 <= 5e-33)
		tmp = t_5;
	elseif (t_5 <= 2e-16)
		tmp = t_3;
	elseif (t_5 <= 5e-14)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= 20000.0)
		tmp = t_3;
	elseif (t_5 <= 2e+25)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= 5e+40)
		tmp = t_6;
	elseif (t_5 <= 5e+152)
		tmp = t_2;
	elseif (t_5 <= 1e+157)
		tmp = t_6;
	elseif (t_5 <= 5e+188)
		tmp = t_0;
	elseif (t_5 <= 1e+192)
		tmp = Float64(x_46_im / y_46_im);
	elseif (t_5 <= 1e+231)
		tmp = t_5;
	elseif (t_5 <= 5e+300)
		tmp = Float64(x_46_re / y_46_re);
	elseif (t_5 <= Inf)
		tmp = t_3;
	else
		tmp = t_0;
	end
	return tmp
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x$46$im + N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(N[(x$46$re * y$46$re), $MachinePrecision] + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / t$95$4), $MachinePrecision]}, Block[{t$95$6 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$5, (-Infinity)], t$95$1, If[LessEqual[t$95$5, -2e+128], t$95$5, If[LessEqual[t$95$5, -5e+122], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, -1e+14], t$95$5, If[LessEqual[t$95$5, -0.2], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, -5e-81], t$95$5, If[LessEqual[t$95$5, -6e-178], t$95$3, If[LessEqual[t$95$5, -1.45e-182], t$95$1, If[LessEqual[t$95$5, -1e-215], t$95$5, If[LessEqual[t$95$5, -1e-235], t$95$1, If[LessEqual[t$95$5, -4e-240], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, -5e-286], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, -1e-304], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, 0.0], t$95$2, If[LessEqual[t$95$5, 5e-303], N[(N[(x$46$re * y$46$re), $MachinePrecision] / t$95$4), $MachinePrecision], If[LessEqual[t$95$5, 1e-293], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, 1e-261], t$95$5, If[LessEqual[t$95$5, 1e-205], t$95$2, If[LessEqual[t$95$5, 4e-196], N[(1.0 / N[(y$46$im / N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision] + x$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$5, 5e-176], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, 1e-170], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, 1e-146], t$95$2, If[LessEqual[t$95$5, 2e-126], t$95$5, If[LessEqual[t$95$5, 1e-114], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, 4e-59], t$95$5, If[LessEqual[t$95$5, 5e-53], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, 4e-45], t$95$1, If[LessEqual[t$95$5, 5e-33], t$95$5, If[LessEqual[t$95$5, 2e-16], t$95$3, If[LessEqual[t$95$5, 5e-14], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, 20000.0], t$95$3, If[LessEqual[t$95$5, 2e+25], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, 5e+40], t$95$6, If[LessEqual[t$95$5, 5e+152], t$95$2, If[LessEqual[t$95$5, 1e+157], t$95$6, If[LessEqual[t$95$5, 5e+188], t$95$0, If[LessEqual[t$95$5, 1e+192], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[t$95$5, 1e+231], t$95$5, If[LessEqual[t$95$5, 5e+300], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[t$95$5, Infinity], t$95$3, t$95$0]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -inf.0 or -5.9999999999999997e-178 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -1.44999999999999993e-182 or -1.00000000000000004e-215 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -9.9999999999999996e-236 or 5e-53 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 3.99999999999999994e-45

   1. Initial program 62.5%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 84.3%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 89.6%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 89.6%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -inf.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -2.0000000000000002e128 or -4.99999999999999989e122 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -1e14 or -0.20000000000000001 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -4.99999999999999981e-81 or -1.44999999999999993e-182 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -1.00000000000000004e-215 or 1.0000000000000001e-293 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 9.99999999999999984e-262 or 1.00000000000000003e-146 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.9999999999999999e-126 or 1.0000000000000001e-114 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 4.0000000000000001e-59 or 3.99999999999999994e-45 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000028e-33 or 1.00000000000000004e192 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.0000000000000001e231

   1. Initial program 99.8%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   if -2.0000000000000002e128 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -4.99999999999999989e122 or -1e14 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -0.20000000000000001 or -3.9999999999999999e-240 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -5.00000000000000037e-286 or 4.0000000000000002e-196 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5e-176 or 2e-16 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.0000000000000002e-14 or 2e4 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 2.00000000000000018e25 or 1.0000000000000001e231 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000026e300

   1. Initial program 93.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -4.99999999999999981e-81 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -5.9999999999999997e-178 or 5.00000000000000028e-33 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 2e-16 or 5.0000000000000002e-14 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 2e4 or 5.00000000000000026e300 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < +inf.0

   1. Initial program 57.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 80.7%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 80.8%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 80.8%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -9.9999999999999996e-236 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -3.9999999999999999e-240 or -5.00000000000000037e-286 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -9.99999999999999971e-305 or 4.9999999999999998e-303 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.0000000000000001e-293 or 5e-176 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 9.99999999999999983e-171 or 1.9999999999999999e-126 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.0000000000000001e-114 or 4.0000000000000001e-59 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5e-53 or 5.0000000000000001e188 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.00000000000000004e192

   1. Initial program 99.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -9.99999999999999971e-305 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < -0.0 or 9.99999999999999984e-262 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1e-205 or 9.99999999999999983e-171 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 1.00000000000000003e-146 or 5.00000000000000003e40 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5e152

   1. Initial program 61.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 67.6%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 66.5%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 66.5%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 66.5%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 66.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 66.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 67.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 67.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -0.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 4.9999999999999998e-303

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around inf 100.0%

      \[\leadsto \frac{\color{blue}{x.re \cdot y.re}}{y.re \cdot y.re + y.im \cdot y.im} \]
   4. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   5. Simplified 100.0%

      \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   if 1e-205 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 4.0000000000000002e-196

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 99.2%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   if 2.00000000000000018e25 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.00000000000000003e40 or 5e152 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 9.99999999999999983e156

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 99.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 99.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 99.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 9.99999999999999983e156 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < 5.0000000000000001e188 or +inf.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

   1. Initial program 4.5%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 46.9%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 58.3%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 58.3%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 58.3%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 58.4%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 58.4%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
3. Recombined 10 regimes into one program.

4. Final simplification 78.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -\infty:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -2 \cdot 10^{+128}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -5 \cdot 10^{+122}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{+14}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -0.2:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -5 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -6 \cdot 10^{-178}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1.45 \cdot 10^{-182}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{-215}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{-235}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -4 \cdot 10^{-240}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -5 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq -1 \cdot 10^{-304}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 0:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-303}:\\ \;\;\;\;\frac{x.re \cdot y.re}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-293}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-261}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-205}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 4 \cdot 10^{-196}:\\ \;\;\;\;\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-176}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-170}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-146}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 2 \cdot 10^{-126}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 4 \cdot 10^{-59}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-53}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 4 \cdot 10^{-45}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-33}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 2 \cdot 10^{-16}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{-14}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 20000:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 2 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+40}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+152}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{+157}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{+192}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 10^{+231}:\\ \;\;\;\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq 5 \cdot 10^{+300}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq \infty:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 84.8% accurate, 0.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \leq \infty:\\ \;\;\;\;\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (if (<=
      (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
      INFINITY)
   (*
    (/ 1.0 (hypot y.re y.im))
    (/ (fma x.re y.re (* x.im y.im)) (hypot y.re y.im)))
   (/ (+ x.re (/ x.im (/ y.re y.im))) y.re)))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double tmp;
	if ((((x_46_re * y_46_re) + (x_46_im * y_46_im)) / ((y_46_re * y_46_re) + (y_46_im * y_46_im))) <= ((double) INFINITY)) {
		tmp = (1.0 / hypot(y_46_re, y_46_im)) * (fma(x_46_re, y_46_re, (x_46_im * y_46_im)) / hypot(y_46_re, y_46_im));
	} else {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	}
	return tmp;
}

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = 0.0
	if (Float64(Float64(Float64(x_46_re * y_46_re) + Float64(x_46_im * y_46_im)) / Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im))) <= Inf)
		tmp = Float64(Float64(1.0 / hypot(y_46_re, y_46_im)) * Float64(fma(x_46_re, y_46_re, Float64(x_46_im * y_46_im)) / hypot(y_46_re, y_46_im)));
	else
		tmp = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re);
	end
	return tmp
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := If[LessEqual[N[(N[(N[(x$46$re * y$46$re), $MachinePrecision] + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], Infinity], N[(N[(1.0 / N[Sqrt[y$46$re ^ 2 + y$46$im ^ 2], $MachinePrecision]), $MachinePrecision] * N[(N[(x$46$re * y$46$re + N[(x$46$im * y$46$im), $MachinePrecision]), $MachinePrecision] / N[Sqrt[y$46$re ^ 2 + y$46$im ^ 2], $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) < +inf.0

   1. Initial program 74.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 74.9%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 74.9%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 74.9%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 74.9%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 74.9%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 93.9%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 93.9%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   if +inf.0 < (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

   1. Initial program 0.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 44.4%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 56.4%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 56.4%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 56.4%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 56.4%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 56.4%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
3. Recombined 2 regimes into one program.
4. Add Preprocessing

Alternative 5: 71.8% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := x.re \cdot \frac{y.re}{y.im}\\ t_1 := \frac{x.im + t\_0}{y.im}\\ t_2 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_3 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_4 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_5 := \frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ t_6 := \frac{t\_0}{y.im}\\ \mathbf{if}\;y.re \leq -2.35 \cdot 10^{-51}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-76}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq -9 \cdot 10^{-77}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7.2 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -4 \cdot 10^{-83}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -1.2 \cdot 10^{-100}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -3.3 \cdot 10^{-101}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq -1.9 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.9 \cdot 10^{-170}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{-263}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 8 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 1.45 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.1 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 4.8 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.75 \cdot 10^{-53}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 1.05 \cdot 10^{-40}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7.2 \cdot 10^{-28}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2400000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+37}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 3.95 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 4.8 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 3.7 \cdot 10^{+79}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 1.8 \cdot 10^{+103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (* x.re (/ y.re y.im)))
        (t_1 (/ (+ x.im t_0) y.im))
        (t_2 (* x.re (/ (/ y.re y.im) y.im)))
        (t_3 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_4 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_5 (/ (+ x.im (/ (* x.re y.re) y.im)) y.im))
        (t_6 (/ t_0 y.im)))
   (if (<= y.re -2.35e-51)
     t_3
     (if (<= y.re -1.6e-76)
       t_1
       (if (<= y.re -9e-77)
         (/ x.re y.re)
         (if (<= y.re -7.2e-81)
           (/ 1.0 (/ y.im (* y.re (/ x.re y.im))))
           (if (<= y.re -4e-83)
             (/ x.re y.re)
             (if (<= y.re -1.2e-100)
               (/ x.im y.im)
               (if (<= y.re -3.3e-101)
                 t_4
                 (if (<= y.re -1.9e-103)
                   (/ x.im y.im)
                   (if (<= y.re -1.6e-105)
                     (/ (+ x.re (/ x.im (/ y.re y.im))) y.re)
                     (if (<= y.re -1.9e-170)
                       t_1
                       (if (<= y.re -1.5e-170)
                         (/ x.re y.re)
                         (if (<= y.re -7e-194)
                           t_1
                           (if (<= y.re -1.45e-198)
                             t_4
                             (if (<= y.re -2e-286)
                               t_1
                               (if (<= y.re 2.25e-263)
                                 t_5
                                 (if (<= y.re 5.2e-263)
                                   t_4
                                   (if (<= y.re 2.1e-262)
                                     t_2
                                     (if (<= y.re 1.3e-210)
                                       t_1
                                       (if (<= y.re 8e-210)
                                         (/ x.re y.re)
                                         (if (<= y.re 7e-207)
                                           t_2
                                           (if (<= y.re 4.1e-165)
                                             t_5
                                             (if (<= y.re 8.4e-150)
                                               t_3
                                               (if (<= y.re 8.5e-123)
                                                 t_1
                                                 (if (<= y.re 9e-123)
                                                   (/ x.re y.re)
                                                   (if (<= y.re 3.05e-102)
                                                     t_1
                                                     (if (<= y.re 1.45e-98)
                                                       (/ x.re y.re)
                                                       (if (<= y.re 3.1e-84)
                                                         (/ x.im y.im)
                                                         (if (<= y.re 4.8e-72)
                                                           (/ x.re y.re)
                                                           (if (<=
                                                                y.re
                                                                2.75e-53)
                                                             t_6
                                                             (if (<=
                                                                  y.re
                                                                  1.05e-40)
                                                               (/ x.re y.re)
                                                               (if (<=
                                                                    y.re
                                                                    7.2e-28)
                                                                 (/ x.im y.im)
                                                                 (if (<=
                                                                      y.re
                                                                      2400000000.0)
                                                                   (/
                                                                    x.re
                                                                    y.re)
                                                                   (if (<=
                                                                        y.re
                                                                        5.2e+19)
                                                                     (/
                                                                      x.im
                                                                      y.im)
                                                                     (if (<=
                                                                          y.re
                                                                          2.7e+37)
                                                                       t_4
                                                                       (if (<=
                                                                            y.re
                                                                            3.95e+37)
                                                                         (/
                                                                          x.im
                                                                          y.im)
                                                                         (if (<=
                                                                              y.re
                                                                              1.2e+57)
                                                                           t_4
                                                                           (if (<=
                                                                                y.re
                                                                                4.8e+57)
                                                                             (/
                                                                              x.im
                                                                              y.im)
                                                                             (if (<=
                                                                                  y.re
                                                                                  1.6e+78)
                                                                               t_4
                                                                               (if (<=
                                                                                    y.re
                                                                                    3.7e+79)
                                                                                 (/
                                                                                  x.im
                                                                                  y.im)
                                                                                 (if (<=
                                                                                      y.re
                                                                                      5.5e+101)
                                                                                   t_3
                                                                                   (if (<=
                                                                                        y.re
                                                                                        1.8e+103)
                                                                                     (/
                                                                                      x.im
                                                                                      y.im)
                                                                                     (if (<=
                                                                                          y.re
                                                                                          3.5e+117)
                                                                                       (/
                                                                                        x.re
                                                                                        y.re)
                                                                                       (if (<=
                                                                                            y.re
                                                                                            3.6e+117)
                                                                                         t_6
                                                                                         (if (<=
                                                                                              y.re
                                                                                              2e+136)
                                                                                           t_4
                                                                                           (if (<=
                                                                                                y.re
                                                                                                2.02e+136)
                                                                                             t_6
                                                                                             (if (<=
                                                                                                  y.re
                                                                                                  2.1e+163)
                                                                                               (/
                                                                                                x.re
                                                                                                y.re)
                                                                                               (if (<=
                                                                                                    y.re
                                                                                                    2.15e+163)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.im)
                                                                                                 (if (<=
                                                                                                      y.re
                                                                                                      2.7e+171)
                                                                                                   (/
                                                                                                    x.re
                                                                                                    y.re)
                                                                                                   (if (<=
                                                                                                        y.re
                                                                                                        2.8e+171)
                                                                                                     t_1
                                                                                                     (if (<=
                                                                                                          y.re
                                                                                                          2.2e+198)
                                                                                                       (/
                                                                                                        x.re
                                                                                                        y.re)
                                                                                                       (if (<=
                                                                                                            y.re
                                                                                                            2.3e+198)
                                                                                                         (/
                                                                                                          x.im
                                                                                                          y.im)
                                                                                                         (if (<=
                                                                                                              y.re
                                                                                                              2.9e+207)
                                                                                                           t_3
                                                                                                           (if (<=
                                                                                                                y.re
                                                                                                                3e+207)
                                                                                                             t_1
                                                                                                             (if (<=
                                                                                                                  y.re
                                                                                                                  2.35e+224)
                                                                                                               (/
                                                                                                                x.re
                                                                                                                y.re)
                                                                                                               (if (<=
                                                                                                                    y.re
                                                                                                                    2.4e+224)
                                                                                                                 (/
                                                                                                                  x.im
                                                                                                                  y.im)
                                                                                                                 t_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = x_46_re * (y_46_re / y_46_im);
	double t_1 = (x_46_im + t_0) / y_46_im;
	double t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_4 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_6 = t_0 / y_46_im;
	double tmp;
	if (y_46_re <= -2.35e-51) {
		tmp = t_3;
	} else if (y_46_re <= -1.6e-76) {
		tmp = t_1;
	} else if (y_46_re <= -9e-77) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7.2e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -4e-83) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -1.2e-100) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -3.3e-101) {
		tmp = t_4;
	} else if (y_46_re <= -1.9e-103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.6e-105) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_re <= -1.9e-170) {
		tmp = t_1;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_1;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_4;
	} else if (y_46_re <= -2e-286) {
		tmp = t_1;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_5;
	} else if (y_46_re <= 5.2e-263) {
		tmp = t_4;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_2;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_1;
	} else if (y_46_re <= 8e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_2;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_5;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_3;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_1;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_1;
	} else if (y_46_re <= 1.45e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.1e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 4.8e-72) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.75e-53) {
		tmp = t_6;
	} else if (y_46_re <= 1.05e-40) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7.2e-28) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2400000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 5.2e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+37) {
		tmp = t_4;
	} else if (y_46_re <= 3.95e+37) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_4;
	} else if (y_46_re <= 4.8e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_4;
	} else if (y_46_re <= 3.7e+79) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_3;
	} else if (y_46_re <= 1.8e+103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_6;
	} else if (y_46_re <= 2e+136) {
		tmp = t_4;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_6;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_1;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_3;
	} else if (y_46_re <= 3e+207) {
		tmp = t_1;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_0 = x_46re * (y_46re / y_46im)
    t_1 = (x_46im + t_0) / y_46im
    t_2 = x_46re * ((y_46re / y_46im) / y_46im)
    t_3 = (x_46re + (y_46im * (x_46im / y_46re))) / y_46re
    t_4 = (x_46re + (x_46im * (y_46im / y_46re))) / y_46re
    t_5 = (x_46im + ((x_46re * y_46re) / y_46im)) / y_46im
    t_6 = t_0 / y_46im
    if (y_46re <= (-2.35d-51)) then
        tmp = t_3
    else if (y_46re <= (-1.6d-76)) then
        tmp = t_1
    else if (y_46re <= (-9d-77)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-7.2d-81)) then
        tmp = 1.0d0 / (y_46im / (y_46re * (x_46re / y_46im)))
    else if (y_46re <= (-4d-83)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-1.2d-100)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-3.3d-101)) then
        tmp = t_4
    else if (y_46re <= (-1.9d-103)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-1.6d-105)) then
        tmp = (x_46re + (x_46im / (y_46re / y_46im))) / y_46re
    else if (y_46re <= (-1.9d-170)) then
        tmp = t_1
    else if (y_46re <= (-1.5d-170)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-7d-194)) then
        tmp = t_1
    else if (y_46re <= (-1.45d-198)) then
        tmp = t_4
    else if (y_46re <= (-2d-286)) then
        tmp = t_1
    else if (y_46re <= 2.25d-263) then
        tmp = t_5
    else if (y_46re <= 5.2d-263) then
        tmp = t_4
    else if (y_46re <= 2.1d-262) then
        tmp = t_2
    else if (y_46re <= 1.3d-210) then
        tmp = t_1
    else if (y_46re <= 8d-210) then
        tmp = x_46re / y_46re
    else if (y_46re <= 7d-207) then
        tmp = t_2
    else if (y_46re <= 4.1d-165) then
        tmp = t_5
    else if (y_46re <= 8.4d-150) then
        tmp = t_3
    else if (y_46re <= 8.5d-123) then
        tmp = t_1
    else if (y_46re <= 9d-123) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.05d-102) then
        tmp = t_1
    else if (y_46re <= 1.45d-98) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.1d-84) then
        tmp = x_46im / y_46im
    else if (y_46re <= 4.8d-72) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.75d-53) then
        tmp = t_6
    else if (y_46re <= 1.05d-40) then
        tmp = x_46re / y_46re
    else if (y_46re <= 7.2d-28) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2400000000.0d0) then
        tmp = x_46re / y_46re
    else if (y_46re <= 5.2d+19) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.7d+37) then
        tmp = t_4
    else if (y_46re <= 3.95d+37) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.2d+57) then
        tmp = t_4
    else if (y_46re <= 4.8d+57) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.6d+78) then
        tmp = t_4
    else if (y_46re <= 3.7d+79) then
        tmp = x_46im / y_46im
    else if (y_46re <= 5.5d+101) then
        tmp = t_3
    else if (y_46re <= 1.8d+103) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.5d+117) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.6d+117) then
        tmp = t_6
    else if (y_46re <= 2d+136) then
        tmp = t_4
    else if (y_46re <= 2.02d+136) then
        tmp = t_6
    else if (y_46re <= 2.1d+163) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.15d+163) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.7d+171) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.8d+171) then
        tmp = t_1
    else if (y_46re <= 2.2d+198) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.3d+198) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.9d+207) then
        tmp = t_3
    else if (y_46re <= 3d+207) then
        tmp = t_1
    else if (y_46re <= 2.35d+224) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.4d+224) then
        tmp = x_46im / y_46im
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = x_46_re * (y_46_re / y_46_im);
	double t_1 = (x_46_im + t_0) / y_46_im;
	double t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_4 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_6 = t_0 / y_46_im;
	double tmp;
	if (y_46_re <= -2.35e-51) {
		tmp = t_3;
	} else if (y_46_re <= -1.6e-76) {
		tmp = t_1;
	} else if (y_46_re <= -9e-77) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7.2e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -4e-83) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -1.2e-100) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -3.3e-101) {
		tmp = t_4;
	} else if (y_46_re <= -1.9e-103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.6e-105) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_re <= -1.9e-170) {
		tmp = t_1;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_1;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_4;
	} else if (y_46_re <= -2e-286) {
		tmp = t_1;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_5;
	} else if (y_46_re <= 5.2e-263) {
		tmp = t_4;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_2;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_1;
	} else if (y_46_re <= 8e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_2;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_5;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_3;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_1;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_1;
	} else if (y_46_re <= 1.45e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.1e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 4.8e-72) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.75e-53) {
		tmp = t_6;
	} else if (y_46_re <= 1.05e-40) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7.2e-28) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2400000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 5.2e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+37) {
		tmp = t_4;
	} else if (y_46_re <= 3.95e+37) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_4;
	} else if (y_46_re <= 4.8e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_4;
	} else if (y_46_re <= 3.7e+79) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_3;
	} else if (y_46_re <= 1.8e+103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_6;
	} else if (y_46_re <= 2e+136) {
		tmp = t_4;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_6;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_1;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_3;
	} else if (y_46_re <= 3e+207) {
		tmp = t_1;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = x_46_re * (y_46_re / y_46_im)
	t_1 = (x_46_im + t_0) / y_46_im
	t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re
	t_4 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re
	t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im
	t_6 = t_0 / y_46_im
	tmp = 0
	if y_46_re <= -2.35e-51:
		tmp = t_3
	elif y_46_re <= -1.6e-76:
		tmp = t_1
	elif y_46_re <= -9e-77:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -7.2e-81:
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)))
	elif y_46_re <= -4e-83:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -1.2e-100:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -3.3e-101:
		tmp = t_4
	elif y_46_re <= -1.9e-103:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -1.6e-105:
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re
	elif y_46_re <= -1.9e-170:
		tmp = t_1
	elif y_46_re <= -1.5e-170:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -7e-194:
		tmp = t_1
	elif y_46_re <= -1.45e-198:
		tmp = t_4
	elif y_46_re <= -2e-286:
		tmp = t_1
	elif y_46_re <= 2.25e-263:
		tmp = t_5
	elif y_46_re <= 5.2e-263:
		tmp = t_4
	elif y_46_re <= 2.1e-262:
		tmp = t_2
	elif y_46_re <= 1.3e-210:
		tmp = t_1
	elif y_46_re <= 8e-210:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 7e-207:
		tmp = t_2
	elif y_46_re <= 4.1e-165:
		tmp = t_5
	elif y_46_re <= 8.4e-150:
		tmp = t_3
	elif y_46_re <= 8.5e-123:
		tmp = t_1
	elif y_46_re <= 9e-123:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.05e-102:
		tmp = t_1
	elif y_46_re <= 1.45e-98:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.1e-84:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 4.8e-72:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.75e-53:
		tmp = t_6
	elif y_46_re <= 1.05e-40:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 7.2e-28:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2400000000.0:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 5.2e+19:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.7e+37:
		tmp = t_4
	elif y_46_re <= 3.95e+37:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.2e+57:
		tmp = t_4
	elif y_46_re <= 4.8e+57:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.6e+78:
		tmp = t_4
	elif y_46_re <= 3.7e+79:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 5.5e+101:
		tmp = t_3
	elif y_46_re <= 1.8e+103:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.5e+117:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.6e+117:
		tmp = t_6
	elif y_46_re <= 2e+136:
		tmp = t_4
	elif y_46_re <= 2.02e+136:
		tmp = t_6
	elif y_46_re <= 2.1e+163:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.15e+163:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.7e+171:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.8e+171:
		tmp = t_1
	elif y_46_re <= 2.2e+198:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.3e+198:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.9e+207:
		tmp = t_3
	elif y_46_re <= 3e+207:
		tmp = t_1
	elif y_46_re <= 2.35e+224:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.4e+224:
		tmp = x_46_im / y_46_im
	else:
		tmp = t_4
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(x_46_re * Float64(y_46_re / y_46_im))
	t_1 = Float64(Float64(x_46_im + t_0) / y_46_im)
	t_2 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_3 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_4 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_5 = Float64(Float64(x_46_im + Float64(Float64(x_46_re * y_46_re) / y_46_im)) / y_46_im)
	t_6 = Float64(t_0 / y_46_im)
	tmp = 0.0
	if (y_46_re <= -2.35e-51)
		tmp = t_3;
	elseif (y_46_re <= -1.6e-76)
		tmp = t_1;
	elseif (y_46_re <= -9e-77)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -7.2e-81)
		tmp = Float64(1.0 / Float64(y_46_im / Float64(y_46_re * Float64(x_46_re / y_46_im))));
	elseif (y_46_re <= -4e-83)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -1.2e-100)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -3.3e-101)
		tmp = t_4;
	elseif (y_46_re <= -1.9e-103)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -1.6e-105)
		tmp = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re);
	elseif (y_46_re <= -1.9e-170)
		tmp = t_1;
	elseif (y_46_re <= -1.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -7e-194)
		tmp = t_1;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_4;
	elseif (y_46_re <= -2e-286)
		tmp = t_1;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_5;
	elseif (y_46_re <= 5.2e-263)
		tmp = t_4;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_2;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_1;
	elseif (y_46_re <= 8e-210)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 7e-207)
		tmp = t_2;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_5;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_3;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_1;
	elseif (y_46_re <= 9e-123)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.05e-102)
		tmp = t_1;
	elseif (y_46_re <= 1.45e-98)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.1e-84)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 4.8e-72)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.75e-53)
		tmp = t_6;
	elseif (y_46_re <= 1.05e-40)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 7.2e-28)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2400000000.0)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 5.2e+19)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.7e+37)
		tmp = t_4;
	elseif (y_46_re <= 3.95e+37)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.2e+57)
		tmp = t_4;
	elseif (y_46_re <= 4.8e+57)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.6e+78)
		tmp = t_4;
	elseif (y_46_re <= 3.7e+79)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 5.5e+101)
		tmp = t_3;
	elseif (y_46_re <= 1.8e+103)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.5e+117)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.6e+117)
		tmp = t_6;
	elseif (y_46_re <= 2e+136)
		tmp = t_4;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_6;
	elseif (y_46_re <= 2.1e+163)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.15e+163)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.7e+171)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.8e+171)
		tmp = t_1;
	elseif (y_46_re <= 2.2e+198)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.3e+198)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.9e+207)
		tmp = t_3;
	elseif (y_46_re <= 3e+207)
		tmp = t_1;
	elseif (y_46_re <= 2.35e+224)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.4e+224)
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = x_46_re * (y_46_re / y_46_im);
	t_1 = (x_46_im + t_0) / y_46_im;
	t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	t_4 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	t_6 = t_0 / y_46_im;
	tmp = 0.0;
	if (y_46_re <= -2.35e-51)
		tmp = t_3;
	elseif (y_46_re <= -1.6e-76)
		tmp = t_1;
	elseif (y_46_re <= -9e-77)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -7.2e-81)
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	elseif (y_46_re <= -4e-83)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -1.2e-100)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -3.3e-101)
		tmp = t_4;
	elseif (y_46_re <= -1.9e-103)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -1.6e-105)
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	elseif (y_46_re <= -1.9e-170)
		tmp = t_1;
	elseif (y_46_re <= -1.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -7e-194)
		tmp = t_1;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_4;
	elseif (y_46_re <= -2e-286)
		tmp = t_1;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_5;
	elseif (y_46_re <= 5.2e-263)
		tmp = t_4;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_2;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_1;
	elseif (y_46_re <= 8e-210)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 7e-207)
		tmp = t_2;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_5;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_3;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_1;
	elseif (y_46_re <= 9e-123)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.05e-102)
		tmp = t_1;
	elseif (y_46_re <= 1.45e-98)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.1e-84)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 4.8e-72)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.75e-53)
		tmp = t_6;
	elseif (y_46_re <= 1.05e-40)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 7.2e-28)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2400000000.0)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 5.2e+19)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.7e+37)
		tmp = t_4;
	elseif (y_46_re <= 3.95e+37)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.2e+57)
		tmp = t_4;
	elseif (y_46_re <= 4.8e+57)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.6e+78)
		tmp = t_4;
	elseif (y_46_re <= 3.7e+79)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 5.5e+101)
		tmp = t_3;
	elseif (y_46_re <= 1.8e+103)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.5e+117)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.6e+117)
		tmp = t_6;
	elseif (y_46_re <= 2e+136)
		tmp = t_4;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_6;
	elseif (y_46_re <= 2.1e+163)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.15e+163)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.7e+171)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.8e+171)
		tmp = t_1;
	elseif (y_46_re <= 2.2e+198)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.3e+198)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.9e+207)
		tmp = t_3;
	elseif (y_46_re <= 3e+207)
		tmp = t_1;
	elseif (y_46_re <= 2.35e+224)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.4e+224)
		tmp = x_46_im / y_46_im;
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(N[(x$46$im + t$95$0), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$2 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x$46$im + N[(N[(x$46$re * y$46$re), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$6 = N[(t$95$0 / y$46$im), $MachinePrecision]}, If[LessEqual[y$46$re, -2.35e-51], t$95$3, If[LessEqual[y$46$re, -1.6e-76], t$95$1, If[LessEqual[y$46$re, -9e-77], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -7.2e-81], N[(1.0 / N[(y$46$im / N[(y$46$re * N[(x$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$re, -4e-83], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -1.2e-100], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -3.3e-101], t$95$4, If[LessEqual[y$46$re, -1.9e-103], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -1.6e-105], N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -1.9e-170], t$95$1, If[LessEqual[y$46$re, -1.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -7e-194], t$95$1, If[LessEqual[y$46$re, -1.45e-198], t$95$4, If[LessEqual[y$46$re, -2e-286], t$95$1, If[LessEqual[y$46$re, 2.25e-263], t$95$5, If[LessEqual[y$46$re, 5.2e-263], t$95$4, If[LessEqual[y$46$re, 2.1e-262], t$95$2, If[LessEqual[y$46$re, 1.3e-210], t$95$1, If[LessEqual[y$46$re, 8e-210], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 7e-207], t$95$2, If[LessEqual[y$46$re, 4.1e-165], t$95$5, If[LessEqual[y$46$re, 8.4e-150], t$95$3, If[LessEqual[y$46$re, 8.5e-123], t$95$1, If[LessEqual[y$46$re, 9e-123], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.05e-102], t$95$1, If[LessEqual[y$46$re, 1.45e-98], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.1e-84], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 4.8e-72], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.75e-53], t$95$6, If[LessEqual[y$46$re, 1.05e-40], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 7.2e-28], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2400000000.0], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 5.2e+19], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.7e+37], t$95$4, If[LessEqual[y$46$re, 3.95e+37], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.2e+57], t$95$4, If[LessEqual[y$46$re, 4.8e+57], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.6e+78], t$95$4, If[LessEqual[y$46$re, 3.7e+79], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 5.5e+101], t$95$3, If[LessEqual[y$46$re, 1.8e+103], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.5e+117], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.6e+117], t$95$6, If[LessEqual[y$46$re, 2e+136], t$95$4, If[LessEqual[y$46$re, 2.02e+136], t$95$6, If[LessEqual[y$46$re, 2.1e+163], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.15e+163], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.7e+171], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.8e+171], t$95$1, If[LessEqual[y$46$re, 2.2e+198], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.3e+198], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.9e+207], t$95$3, If[LessEqual[y$46$re, 3e+207], t$95$1, If[LessEqual[y$46$re, 2.35e+224], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.4e+224], N[(x$46$im / y$46$im), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y.re < -2.3499999999999999e-51 or 4.1000000000000002e-165 < y.re < 8.4000000000000004e-150 or 3.70000000000000009e79 < y.re < 5.50000000000000018e101 or 2.3000000000000001e198 < y.re < 2.89999999999999997e207

   1. Initial program 54.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 82.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 84.5%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 84.5%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 84.5%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 84.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 84.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 85.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 85.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -2.3499999999999999e-51 < y.re < -1.5999999999999999e-76 or -1.59999999999999991e-105 < y.re < -1.8999999999999999e-170 or -1.50000000000000007e-170 < y.re < -7.0000000000000006e-194 or -1.45e-198 < y.re < -2.0000000000000001e-286 or 2.1e-262 < y.re < 1.2999999999999999e-210 or 8.4000000000000004e-150 < y.re < 8.4999999999999995e-123 or 8.99999999999999986e-123 < y.re < 3.0499999999999999e-102 or 2.6999999999999998e171 < y.re < 2.80000000000000004e171 or 2.89999999999999997e207 < y.re < 2.99999999999999983e207

   1. Initial program 65.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.5%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -1.5999999999999999e-76 < y.re < -9.0000000000000001e-77 or -7.1999999999999997e-81 < y.re < -4.0000000000000001e-83 or -1.8999999999999999e-170 < y.re < -1.50000000000000007e-170 or 1.2999999999999999e-210 < y.re < 8.0000000000000004e-210 or 8.4999999999999995e-123 < y.re < 8.99999999999999986e-123 or 3.0499999999999999e-102 < y.re < 1.45e-98 or 3.10000000000000002e-84 < y.re < 4.8e-72 or 2.75000000000000011e-53 < y.re < 1.05000000000000009e-40 or 7.1999999999999997e-28 < y.re < 2.4e9 or 1.80000000000000008e103 < y.re < 3.49999999999999983e117 or 2.02000000000000002e136 < y.re < 2.1e163 or 2.1500000000000001e163 < y.re < 2.6999999999999998e171 or 2.80000000000000004e171 < y.re < 2.2e198 or 2.99999999999999983e207 < y.re < 2.3500000000000001e224

   1. Initial program 73.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -9.0000000000000001e-77 < y.re < -7.1999999999999997e-81

   1. Initial program 98.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   10. Taylor expanded in x.re around inf 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{\frac{x.re \cdot y.re}{y.im}}}} \]
   11. Step-by-step derivation

       1. *-commutative 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\frac{\color{blue}{y.re \cdot x.re}}{y.im}}} \]

       2. associate-/l* 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   12. Simplified 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   if -4.0000000000000001e-83 < y.re < -1.2000000000000001e-100 or -3.29999999999999984e-101 < y.re < -1.9e-103 or 1.45e-98 < y.re < 3.10000000000000002e-84 or 1.05000000000000009e-40 < y.re < 7.1999999999999997e-28 or 2.4e9 < y.re < 5.2e19 or 2.69999999999999986e37 < y.re < 3.9500000000000001e37 or 1.20000000000000002e57 < y.re < 4.80000000000000009e57 or 1.59999999999999997e78 < y.re < 3.70000000000000009e79 or 5.50000000000000018e101 < y.re < 1.80000000000000008e103 or 2.1e163 < y.re < 2.1500000000000001e163 or 2.2e198 < y.re < 2.3000000000000001e198 or 2.3500000000000001e224 < y.re < 2.40000000000000001e224

   1. Initial program 48.7%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -1.2000000000000001e-100 < y.re < -3.29999999999999984e-101 or -7.0000000000000006e-194 < y.re < -1.45e-198 or 2.2499999999999999e-263 < y.re < 5.2000000000000001e-263 or 5.2e19 < y.re < 2.69999999999999986e37 or 3.9500000000000001e37 < y.re < 1.20000000000000002e57 or 4.80000000000000009e57 < y.re < 1.59999999999999997e78 or 3.60000000000000013e117 < y.re < 2.00000000000000012e136 or 2.40000000000000001e224 < y.re

   1. Initial program 56.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 92.4%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -1.9e-103 < y.re < -1.59999999999999991e-105

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 99.2%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 100.0%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   if -2.0000000000000001e-286 < y.re < 2.2499999999999999e-263 or 7.0000000000000003e-207 < y.re < 4.1000000000000002e-165

   1. Initial program 91.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]

   if 5.2000000000000001e-263 < y.re < 2.1e-262 or 8.0000000000000004e-210 < y.re < 7.0000000000000003e-207

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 99.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 100.0%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 4.8e-72 < y.re < 2.75000000000000011e-53 or 3.49999999999999983e117 < y.re < 3.60000000000000013e117 or 2.00000000000000012e136 < y.re < 2.02000000000000002e136

   1. Initial program 50.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 51.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 50.9%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 77.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 77.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 77.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 77.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 76.5%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 76.5%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 76.5%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 76.5%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 76.5%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 99.6%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 99.6%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]
3. Recombined 10 regimes into one program.

4. Final simplification 94.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y.re \leq -2.35 \cdot 10^{-51}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-76}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -9 \cdot 10^{-77}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7.2 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -4 \cdot 10^{-83}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -1.2 \cdot 10^{-100}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -3.3 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.9 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.9 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 8 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.45 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.1 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 4.8 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.75 \cdot 10^{-53}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.05 \cdot 10^{-40}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7.2 \cdot 10^{-28}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2400000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3.95 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 4.8 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3.7 \cdot 10^{+79}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.8 \cdot 10^{+103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 71.9% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := x.re \cdot \frac{y.re}{y.im}\\ t_1 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_2 := \frac{x.im + t\_0}{y.im}\\ t_3 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_4 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_5 := \frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ t_6 := \frac{t\_0}{y.im}\\ \mathbf{if}\;y.re \leq -2.15 \cdot 10^{-51}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-76}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq -2.7 \cdot 10^{-79}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -6.5 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -1.2 \cdot 10^{-100}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -3.2 \cdot 10^{-101}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq -3 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 9.8 \cdot 10^{-263}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 7.5 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.6 \cdot 10^{-80}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.5 \cdot 10^{-52}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 1.65 \cdot 10^{-30}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 8.8 \cdot 10^{-24}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 85000000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+20}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.3 \cdot 10^{+37}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 3.95 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 1.62 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 6.5 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (* x.re (/ y.re y.im)))
        (t_1 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_2 (/ (+ x.im t_0) y.im))
        (t_3 (* x.re (/ (/ y.re y.im) y.im)))
        (t_4 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_5 (/ (+ x.im (/ (* x.re y.re) y.im)) y.im))
        (t_6 (/ t_0 y.im)))
   (if (<= y.re -2.15e-51)
     t_4
     (if (<= y.re -1.7e-76)
       t_2
       (if (<= y.re -2.7e-79)
         (/ x.re y.re)
         (if (<= y.re -6.5e-81)
           (/ 1.0 (/ y.im (* y.re (/ x.re y.im))))
           (if (<= y.re -1.45e-81)
             (/ x.re y.re)
             (if (<= y.re -1.2e-100)
               (/ x.im y.im)
               (if (<= y.re -3.2e-101)
                 t_1
                 (if (<= y.re -3e-103)
                   (/ x.im y.im)
                   (if (<= y.re -1.6e-105)
                     t_1
                     (if (<= y.re -1.55e-170)
                       t_2
                       (if (<= y.re -1.5e-170)
                         (/ x.re y.re)
                         (if (<= y.re -7e-194)
                           t_2
                           (if (<= y.re -1.45e-198)
                             t_1
                             (if (<= y.re -2e-286)
                               t_2
                               (if (<= y.re 2.25e-263)
                                 t_5
                                 (if (<= y.re 9.8e-263)
                                   t_1
                                   (if (<= y.re 2.1e-262)
                                     t_3
                                     (if (<= y.re 1.3e-210)
                                       t_2
                                       (if (<= y.re 7.5e-210)
                                         (/ x.re y.re)
                                         (if (<= y.re 7e-207)
                                           t_3
                                           (if (<= y.re 4.1e-165)
                                             t_5
                                             (if (<= y.re 8.4e-150)
                                               t_4
                                               (if (<= y.re 8.5e-123)
                                                 t_2
                                                 (if (<= y.re 9e-123)
                                                   (/ x.re y.re)
                                                   (if (<= y.re 3.05e-102)
                                                     t_2
                                                     (if (<= y.re 2e-98)
                                                       (/ x.re y.re)
                                                       (if (<= y.re 3e-84)
                                                         (/ x.im y.im)
                                                         (if (<= y.re 2.6e-80)
                                                           (/ x.re y.re)
                                                           (if (<=
                                                                y.re
                                                                1.5e-52)
                                                             t_6
                                                             (if (<=
                                                                  y.re
                                                                  1.65e-30)
                                                               (/ x.re y.re)
                                                               (if (<=
                                                                    y.re
                                                                    8.8e-24)
                                                                 (/ x.im y.im)
                                                                 (if (<=
                                                                      y.re
                                                                      85000000000.0)
                                                                   (/
                                                                    x.re
                                                                    y.re)
                                                                   (if (<=
                                                                        y.re
                                                                        1.6e+20)
                                                                     (/
                                                                      x.im
                                                                      y.im)
                                                                     (if (<=
                                                                          y.re
                                                                          3.3e+37)
                                                                       t_1
                                                                       (if (<=
                                                                            y.re
                                                                            3.95e+37)
                                                                         (/
                                                                          x.im
                                                                          y.im)
                                                                         (if (<=
                                                                              y.re
                                                                              1.2e+57)
                                                                           t_1
                                                                           (if (<=
                                                                                y.re
                                                                                1.25e+57)
                                                                             (/
                                                                              x.im
                                                                              y.im)
                                                                             (if (<=
                                                                                  y.re
                                                                                  1.6e+78)
                                                                               t_1
                                                                               (if (<=
                                                                                    y.re
                                                                                    1.62e+78)
                                                                                 (/
                                                                                  x.im
                                                                                  y.im)
                                                                                 (if (<=
                                                                                      y.re
                                                                                      5.5e+101)
                                                                                   t_4
                                                                                   (if (<=
                                                                                        y.re
                                                                                        6.5e+101)
                                                                                     (/
                                                                                      x.im
                                                                                      y.im)
                                                                                     (if (<=
                                                                                          y.re
                                                                                          3.5e+117)
                                                                                       (/
                                                                                        x.re
                                                                                        y.re)
                                                                                       (if (<=
                                                                                            y.re
                                                                                            3.6e+117)
                                                                                         t_6
                                                                                         (if (<=
                                                                                              y.re
                                                                                              2e+136)
                                                                                           t_1
                                                                                           (if (<=
                                                                                                y.re
                                                                                                2.02e+136)
                                                                                             t_6
                                                                                             (if (<=
                                                                                                  y.re
                                                                                                  2.1e+163)
                                                                                               (/
                                                                                                x.re
                                                                                                y.re)
                                                                                               (if (<=
                                                                                                    y.re
                                                                                                    2.15e+163)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.im)
                                                                                                 (if (<=
                                                                                                      y.re
                                                                                                      2.7e+171)
                                                                                                   (/
                                                                                                    x.re
                                                                                                    y.re)
                                                                                                   (if (<=
                                                                                                        y.re
                                                                                                        2.8e+171)
                                                                                                     t_2
                                                                                                     (if (<=
                                                                                                          y.re
                                                                                                          2.2e+198)
                                                                                                       (/
                                                                                                        x.re
                                                                                                        y.re)
                                                                                                       (if (<=
                                                                                                            y.re
                                                                                                            2.3e+198)
                                                                                                         (/
                                                                                                          x.im
                                                                                                          y.im)
                                                                                                         (if (<=
                                                                                                              y.re
                                                                                                              2.9e+207)
                                                                                                           t_4
                                                                                                           (if (<=
                                                                                                                y.re
                                                                                                                3e+207)
                                                                                                             t_2
                                                                                                             (if (<=
                                                                                                                  y.re
                                                                                                                  2.35e+224)
                                                                                                               (/
                                                                                                                x.re
                                                                                                                y.re)
                                                                                                               (if (<=
                                                                                                                    y.re
                                                                                                                    2.4e+224)
                                                                                                                 (/
                                                                                                                  x.im
                                                                                                                  y.im)
                                                                                                                 t_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = x_46_re * (y_46_re / y_46_im);
	double t_1 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_2 = (x_46_im + t_0) / y_46_im;
	double t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_6 = t_0 / y_46_im;
	double tmp;
	if (y_46_re <= -2.15e-51) {
		tmp = t_4;
	} else if (y_46_re <= -1.7e-76) {
		tmp = t_2;
	} else if (y_46_re <= -2.7e-79) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -6.5e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -1.45e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -1.2e-100) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -3.2e-101) {
		tmp = t_1;
	} else if (y_46_re <= -3e-103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.6e-105) {
		tmp = t_1;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_2;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_2;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_1;
	} else if (y_46_re <= -2e-286) {
		tmp = t_2;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_5;
	} else if (y_46_re <= 9.8e-263) {
		tmp = t_1;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_3;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_2;
	} else if (y_46_re <= 7.5e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_3;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_5;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_4;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_2;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_2;
	} else if (y_46_re <= 2e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.6e-80) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.5e-52) {
		tmp = t_6;
	} else if (y_46_re <= 1.65e-30) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 8.8e-24) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 85000000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.6e+20) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.3e+37) {
		tmp = t_1;
	} else if (y_46_re <= 3.95e+37) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_1;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_1;
	} else if (y_46_re <= 1.62e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_4;
	} else if (y_46_re <= 6.5e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_6;
	} else if (y_46_re <= 2e+136) {
		tmp = t_1;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_6;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_2;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_4;
	} else if (y_46_re <= 3e+207) {
		tmp = t_2;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_0 = x_46re * (y_46re / y_46im)
    t_1 = (x_46re + (x_46im * (y_46im / y_46re))) / y_46re
    t_2 = (x_46im + t_0) / y_46im
    t_3 = x_46re * ((y_46re / y_46im) / y_46im)
    t_4 = (x_46re + (y_46im * (x_46im / y_46re))) / y_46re
    t_5 = (x_46im + ((x_46re * y_46re) / y_46im)) / y_46im
    t_6 = t_0 / y_46im
    if (y_46re <= (-2.15d-51)) then
        tmp = t_4
    else if (y_46re <= (-1.7d-76)) then
        tmp = t_2
    else if (y_46re <= (-2.7d-79)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-6.5d-81)) then
        tmp = 1.0d0 / (y_46im / (y_46re * (x_46re / y_46im)))
    else if (y_46re <= (-1.45d-81)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-1.2d-100)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-3.2d-101)) then
        tmp = t_1
    else if (y_46re <= (-3d-103)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-1.6d-105)) then
        tmp = t_1
    else if (y_46re <= (-1.55d-170)) then
        tmp = t_2
    else if (y_46re <= (-1.5d-170)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-7d-194)) then
        tmp = t_2
    else if (y_46re <= (-1.45d-198)) then
        tmp = t_1
    else if (y_46re <= (-2d-286)) then
        tmp = t_2
    else if (y_46re <= 2.25d-263) then
        tmp = t_5
    else if (y_46re <= 9.8d-263) then
        tmp = t_1
    else if (y_46re <= 2.1d-262) then
        tmp = t_3
    else if (y_46re <= 1.3d-210) then
        tmp = t_2
    else if (y_46re <= 7.5d-210) then
        tmp = x_46re / y_46re
    else if (y_46re <= 7d-207) then
        tmp = t_3
    else if (y_46re <= 4.1d-165) then
        tmp = t_5
    else if (y_46re <= 8.4d-150) then
        tmp = t_4
    else if (y_46re <= 8.5d-123) then
        tmp = t_2
    else if (y_46re <= 9d-123) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.05d-102) then
        tmp = t_2
    else if (y_46re <= 2d-98) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3d-84) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.6d-80) then
        tmp = x_46re / y_46re
    else if (y_46re <= 1.5d-52) then
        tmp = t_6
    else if (y_46re <= 1.65d-30) then
        tmp = x_46re / y_46re
    else if (y_46re <= 8.8d-24) then
        tmp = x_46im / y_46im
    else if (y_46re <= 85000000000.0d0) then
        tmp = x_46re / y_46re
    else if (y_46re <= 1.6d+20) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.3d+37) then
        tmp = t_1
    else if (y_46re <= 3.95d+37) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.2d+57) then
        tmp = t_1
    else if (y_46re <= 1.25d+57) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.6d+78) then
        tmp = t_1
    else if (y_46re <= 1.62d+78) then
        tmp = x_46im / y_46im
    else if (y_46re <= 5.5d+101) then
        tmp = t_4
    else if (y_46re <= 6.5d+101) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.5d+117) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.6d+117) then
        tmp = t_6
    else if (y_46re <= 2d+136) then
        tmp = t_1
    else if (y_46re <= 2.02d+136) then
        tmp = t_6
    else if (y_46re <= 2.1d+163) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.15d+163) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.7d+171) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.8d+171) then
        tmp = t_2
    else if (y_46re <= 2.2d+198) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.3d+198) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.9d+207) then
        tmp = t_4
    else if (y_46re <= 3d+207) then
        tmp = t_2
    else if (y_46re <= 2.35d+224) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.4d+224) then
        tmp = x_46im / y_46im
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = x_46_re * (y_46_re / y_46_im);
	double t_1 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_2 = (x_46_im + t_0) / y_46_im;
	double t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_6 = t_0 / y_46_im;
	double tmp;
	if (y_46_re <= -2.15e-51) {
		tmp = t_4;
	} else if (y_46_re <= -1.7e-76) {
		tmp = t_2;
	} else if (y_46_re <= -2.7e-79) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -6.5e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -1.45e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -1.2e-100) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -3.2e-101) {
		tmp = t_1;
	} else if (y_46_re <= -3e-103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.6e-105) {
		tmp = t_1;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_2;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_2;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_1;
	} else if (y_46_re <= -2e-286) {
		tmp = t_2;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_5;
	} else if (y_46_re <= 9.8e-263) {
		tmp = t_1;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_3;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_2;
	} else if (y_46_re <= 7.5e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_3;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_5;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_4;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_2;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_2;
	} else if (y_46_re <= 2e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.6e-80) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.5e-52) {
		tmp = t_6;
	} else if (y_46_re <= 1.65e-30) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 8.8e-24) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 85000000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.6e+20) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.3e+37) {
		tmp = t_1;
	} else if (y_46_re <= 3.95e+37) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_1;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_1;
	} else if (y_46_re <= 1.62e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_4;
	} else if (y_46_re <= 6.5e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_6;
	} else if (y_46_re <= 2e+136) {
		tmp = t_1;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_6;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_2;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_4;
	} else if (y_46_re <= 3e+207) {
		tmp = t_2;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = x_46_re * (y_46_re / y_46_im)
	t_1 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re
	t_2 = (x_46_im + t_0) / y_46_im
	t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re
	t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im
	t_6 = t_0 / y_46_im
	tmp = 0
	if y_46_re <= -2.15e-51:
		tmp = t_4
	elif y_46_re <= -1.7e-76:
		tmp = t_2
	elif y_46_re <= -2.7e-79:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -6.5e-81:
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)))
	elif y_46_re <= -1.45e-81:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -1.2e-100:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -3.2e-101:
		tmp = t_1
	elif y_46_re <= -3e-103:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -1.6e-105:
		tmp = t_1
	elif y_46_re <= -1.55e-170:
		tmp = t_2
	elif y_46_re <= -1.5e-170:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -7e-194:
		tmp = t_2
	elif y_46_re <= -1.45e-198:
		tmp = t_1
	elif y_46_re <= -2e-286:
		tmp = t_2
	elif y_46_re <= 2.25e-263:
		tmp = t_5
	elif y_46_re <= 9.8e-263:
		tmp = t_1
	elif y_46_re <= 2.1e-262:
		tmp = t_3
	elif y_46_re <= 1.3e-210:
		tmp = t_2
	elif y_46_re <= 7.5e-210:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 7e-207:
		tmp = t_3
	elif y_46_re <= 4.1e-165:
		tmp = t_5
	elif y_46_re <= 8.4e-150:
		tmp = t_4
	elif y_46_re <= 8.5e-123:
		tmp = t_2
	elif y_46_re <= 9e-123:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.05e-102:
		tmp = t_2
	elif y_46_re <= 2e-98:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3e-84:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.6e-80:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 1.5e-52:
		tmp = t_6
	elif y_46_re <= 1.65e-30:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 8.8e-24:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 85000000000.0:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 1.6e+20:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.3e+37:
		tmp = t_1
	elif y_46_re <= 3.95e+37:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.2e+57:
		tmp = t_1
	elif y_46_re <= 1.25e+57:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.6e+78:
		tmp = t_1
	elif y_46_re <= 1.62e+78:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 5.5e+101:
		tmp = t_4
	elif y_46_re <= 6.5e+101:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.5e+117:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.6e+117:
		tmp = t_6
	elif y_46_re <= 2e+136:
		tmp = t_1
	elif y_46_re <= 2.02e+136:
		tmp = t_6
	elif y_46_re <= 2.1e+163:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.15e+163:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.7e+171:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.8e+171:
		tmp = t_2
	elif y_46_re <= 2.2e+198:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.3e+198:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.9e+207:
		tmp = t_4
	elif y_46_re <= 3e+207:
		tmp = t_2
	elif y_46_re <= 2.35e+224:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.4e+224:
		tmp = x_46_im / y_46_im
	else:
		tmp = t_1
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(x_46_re * Float64(y_46_re / y_46_im))
	t_1 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_2 = Float64(Float64(x_46_im + t_0) / y_46_im)
	t_3 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_4 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_5 = Float64(Float64(x_46_im + Float64(Float64(x_46_re * y_46_re) / y_46_im)) / y_46_im)
	t_6 = Float64(t_0 / y_46_im)
	tmp = 0.0
	if (y_46_re <= -2.15e-51)
		tmp = t_4;
	elseif (y_46_re <= -1.7e-76)
		tmp = t_2;
	elseif (y_46_re <= -2.7e-79)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -6.5e-81)
		tmp = Float64(1.0 / Float64(y_46_im / Float64(y_46_re * Float64(x_46_re / y_46_im))));
	elseif (y_46_re <= -1.45e-81)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -1.2e-100)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -3.2e-101)
		tmp = t_1;
	elseif (y_46_re <= -3e-103)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -1.6e-105)
		tmp = t_1;
	elseif (y_46_re <= -1.55e-170)
		tmp = t_2;
	elseif (y_46_re <= -1.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -7e-194)
		tmp = t_2;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_1;
	elseif (y_46_re <= -2e-286)
		tmp = t_2;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_5;
	elseif (y_46_re <= 9.8e-263)
		tmp = t_1;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_3;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_2;
	elseif (y_46_re <= 7.5e-210)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 7e-207)
		tmp = t_3;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_5;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_4;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_2;
	elseif (y_46_re <= 9e-123)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.05e-102)
		tmp = t_2;
	elseif (y_46_re <= 2e-98)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3e-84)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.6e-80)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 1.5e-52)
		tmp = t_6;
	elseif (y_46_re <= 1.65e-30)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 8.8e-24)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 85000000000.0)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 1.6e+20)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.3e+37)
		tmp = t_1;
	elseif (y_46_re <= 3.95e+37)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.2e+57)
		tmp = t_1;
	elseif (y_46_re <= 1.25e+57)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.6e+78)
		tmp = t_1;
	elseif (y_46_re <= 1.62e+78)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 5.5e+101)
		tmp = t_4;
	elseif (y_46_re <= 6.5e+101)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.5e+117)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.6e+117)
		tmp = t_6;
	elseif (y_46_re <= 2e+136)
		tmp = t_1;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_6;
	elseif (y_46_re <= 2.1e+163)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.15e+163)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.7e+171)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.8e+171)
		tmp = t_2;
	elseif (y_46_re <= 2.2e+198)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.3e+198)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.9e+207)
		tmp = t_4;
	elseif (y_46_re <= 3e+207)
		tmp = t_2;
	elseif (y_46_re <= 2.35e+224)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.4e+224)
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = x_46_re * (y_46_re / y_46_im);
	t_1 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	t_2 = (x_46_im + t_0) / y_46_im;
	t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	t_6 = t_0 / y_46_im;
	tmp = 0.0;
	if (y_46_re <= -2.15e-51)
		tmp = t_4;
	elseif (y_46_re <= -1.7e-76)
		tmp = t_2;
	elseif (y_46_re <= -2.7e-79)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -6.5e-81)
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	elseif (y_46_re <= -1.45e-81)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -1.2e-100)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -3.2e-101)
		tmp = t_1;
	elseif (y_46_re <= -3e-103)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -1.6e-105)
		tmp = t_1;
	elseif (y_46_re <= -1.55e-170)
		tmp = t_2;
	elseif (y_46_re <= -1.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -7e-194)
		tmp = t_2;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_1;
	elseif (y_46_re <= -2e-286)
		tmp = t_2;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_5;
	elseif (y_46_re <= 9.8e-263)
		tmp = t_1;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_3;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_2;
	elseif (y_46_re <= 7.5e-210)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 7e-207)
		tmp = t_3;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_5;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_4;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_2;
	elseif (y_46_re <= 9e-123)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.05e-102)
		tmp = t_2;
	elseif (y_46_re <= 2e-98)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3e-84)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.6e-80)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 1.5e-52)
		tmp = t_6;
	elseif (y_46_re <= 1.65e-30)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 8.8e-24)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 85000000000.0)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 1.6e+20)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.3e+37)
		tmp = t_1;
	elseif (y_46_re <= 3.95e+37)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.2e+57)
		tmp = t_1;
	elseif (y_46_re <= 1.25e+57)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.6e+78)
		tmp = t_1;
	elseif (y_46_re <= 1.62e+78)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 5.5e+101)
		tmp = t_4;
	elseif (y_46_re <= 6.5e+101)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.5e+117)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.6e+117)
		tmp = t_6;
	elseif (y_46_re <= 2e+136)
		tmp = t_1;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_6;
	elseif (y_46_re <= 2.1e+163)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.15e+163)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.7e+171)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.8e+171)
		tmp = t_2;
	elseif (y_46_re <= 2.2e+198)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.3e+198)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.9e+207)
		tmp = t_4;
	elseif (y_46_re <= 3e+207)
		tmp = t_2;
	elseif (y_46_re <= 2.35e+224)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.4e+224)
		tmp = x_46_im / y_46_im;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$im + t$95$0), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$3 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x$46$im + N[(N[(x$46$re * y$46$re), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$6 = N[(t$95$0 / y$46$im), $MachinePrecision]}, If[LessEqual[y$46$re, -2.15e-51], t$95$4, If[LessEqual[y$46$re, -1.7e-76], t$95$2, If[LessEqual[y$46$re, -2.7e-79], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -6.5e-81], N[(1.0 / N[(y$46$im / N[(y$46$re * N[(x$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$re, -1.45e-81], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -1.2e-100], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -3.2e-101], t$95$1, If[LessEqual[y$46$re, -3e-103], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -1.6e-105], t$95$1, If[LessEqual[y$46$re, -1.55e-170], t$95$2, If[LessEqual[y$46$re, -1.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -7e-194], t$95$2, If[LessEqual[y$46$re, -1.45e-198], t$95$1, If[LessEqual[y$46$re, -2e-286], t$95$2, If[LessEqual[y$46$re, 2.25e-263], t$95$5, If[LessEqual[y$46$re, 9.8e-263], t$95$1, If[LessEqual[y$46$re, 2.1e-262], t$95$3, If[LessEqual[y$46$re, 1.3e-210], t$95$2, If[LessEqual[y$46$re, 7.5e-210], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 7e-207], t$95$3, If[LessEqual[y$46$re, 4.1e-165], t$95$5, If[LessEqual[y$46$re, 8.4e-150], t$95$4, If[LessEqual[y$46$re, 8.5e-123], t$95$2, If[LessEqual[y$46$re, 9e-123], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.05e-102], t$95$2, If[LessEqual[y$46$re, 2e-98], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3e-84], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.6e-80], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 1.5e-52], t$95$6, If[LessEqual[y$46$re, 1.65e-30], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 8.8e-24], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 85000000000.0], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 1.6e+20], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.3e+37], t$95$1, If[LessEqual[y$46$re, 3.95e+37], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.2e+57], t$95$1, If[LessEqual[y$46$re, 1.25e+57], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.6e+78], t$95$1, If[LessEqual[y$46$re, 1.62e+78], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 5.5e+101], t$95$4, If[LessEqual[y$46$re, 6.5e+101], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.5e+117], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.6e+117], t$95$6, If[LessEqual[y$46$re, 2e+136], t$95$1, If[LessEqual[y$46$re, 2.02e+136], t$95$6, If[LessEqual[y$46$re, 2.1e+163], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.15e+163], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.7e+171], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.8e+171], t$95$2, If[LessEqual[y$46$re, 2.2e+198], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.3e+198], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.9e+207], t$95$4, If[LessEqual[y$46$re, 3e+207], t$95$2, If[LessEqual[y$46$re, 2.35e+224], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.4e+224], N[(x$46$im / y$46$im), $MachinePrecision], t$95$1]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y.re < -2.1499999999999999e-51 or 4.1000000000000002e-165 < y.re < 8.4000000000000004e-150 or 1.6199999999999999e78 < y.re < 5.50000000000000018e101 or 2.3000000000000001e198 < y.re < 2.89999999999999997e207

   1. Initial program 54.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 82.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 84.5%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 84.5%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 84.5%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 84.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 84.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 85.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 85.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -2.1499999999999999e-51 < y.re < -1.7e-76 or -1.59999999999999991e-105 < y.re < -1.54999999999999993e-170 or -1.50000000000000007e-170 < y.re < -7.0000000000000006e-194 or -1.45e-198 < y.re < -2.0000000000000001e-286 or 2.1e-262 < y.re < 1.2999999999999999e-210 or 8.4000000000000004e-150 < y.re < 8.4999999999999995e-123 or 8.99999999999999986e-123 < y.re < 3.0499999999999999e-102 or 2.6999999999999998e171 < y.re < 2.80000000000000004e171 or 2.89999999999999997e207 < y.re < 2.99999999999999983e207

   1. Initial program 65.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.5%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -1.7e-76 < y.re < -2.7000000000000002e-79 or -6.5000000000000002e-81 < y.re < -1.44999999999999994e-81 or -1.54999999999999993e-170 < y.re < -1.50000000000000007e-170 or 1.2999999999999999e-210 < y.re < 7.4999999999999997e-210 or 8.4999999999999995e-123 < y.re < 8.99999999999999986e-123 or 3.0499999999999999e-102 < y.re < 1.99999999999999988e-98 or 3.0000000000000001e-84 < y.re < 2.6000000000000001e-80 or 1.5e-52 < y.re < 1.6500000000000001e-30 or 8.80000000000000006e-24 < y.re < 8.5e10 or 6.50000000000000016e101 < y.re < 3.49999999999999983e117 or 2.02000000000000002e136 < y.re < 2.1e163 or 2.1500000000000001e163 < y.re < 2.6999999999999998e171 or 2.80000000000000004e171 < y.re < 2.2e198 or 2.99999999999999983e207 < y.re < 2.3500000000000001e224

   1. Initial program 73.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -2.7000000000000002e-79 < y.re < -6.5000000000000002e-81

   1. Initial program 98.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   10. Taylor expanded in x.re around inf 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{\frac{x.re \cdot y.re}{y.im}}}} \]
   11. Step-by-step derivation

       1. *-commutative 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\frac{\color{blue}{y.re \cdot x.re}}{y.im}}} \]

       2. associate-/l* 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   12. Simplified 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   if -1.44999999999999994e-81 < y.re < -1.2000000000000001e-100 or -3.19999999999999978e-101 < y.re < -3e-103 or 1.99999999999999988e-98 < y.re < 3.0000000000000001e-84 or 1.6500000000000001e-30 < y.re < 8.80000000000000006e-24 or 8.5e10 < y.re < 1.6e20 or 3.3000000000000001e37 < y.re < 3.9500000000000001e37 or 1.20000000000000002e57 < y.re < 1.24999999999999993e57 or 1.59999999999999997e78 < y.re < 1.6199999999999999e78 or 5.50000000000000018e101 < y.re < 6.50000000000000016e101 or 2.1e163 < y.re < 2.1500000000000001e163 or 2.2e198 < y.re < 2.3000000000000001e198 or 2.3500000000000001e224 < y.re < 2.40000000000000001e224

   1. Initial program 48.7%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -1.2000000000000001e-100 < y.re < -3.19999999999999978e-101 or -3e-103 < y.re < -1.59999999999999991e-105 or -7.0000000000000006e-194 < y.re < -1.45e-198 or 2.2499999999999999e-263 < y.re < 9.7999999999999994e-263 or 1.6e20 < y.re < 3.3000000000000001e37 or 3.9500000000000001e37 < y.re < 1.20000000000000002e57 or 1.24999999999999993e57 < y.re < 1.59999999999999997e78 or 3.60000000000000013e117 < y.re < 2.00000000000000012e136 or 2.40000000000000001e224 < y.re

   1. Initial program 58.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 92.7%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.9%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 99.9%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -2.0000000000000001e-286 < y.re < 2.2499999999999999e-263 or 7.0000000000000003e-207 < y.re < 4.1000000000000002e-165

   1. Initial program 91.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]

   if 9.7999999999999994e-263 < y.re < 2.1e-262 or 7.4999999999999997e-210 < y.re < 7.0000000000000003e-207

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 99.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 100.0%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 2.6000000000000001e-80 < y.re < 1.5e-52 or 3.49999999999999983e117 < y.re < 3.60000000000000013e117 or 2.00000000000000012e136 < y.re < 2.02000000000000002e136

   1. Initial program 50.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 51.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 50.9%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 77.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 77.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 77.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 77.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 76.5%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 76.5%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 76.5%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 76.5%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 76.5%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 99.6%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 99.6%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]
3. Recombined 9 regimes into one program.

4. Final simplification 94.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y.re \leq -2.15 \cdot 10^{-51}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-76}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -2.7 \cdot 10^{-79}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -6.5 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -1.2 \cdot 10^{-100}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -3.2 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -3 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 9.8 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 7.5 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.6 \cdot 10^{-80}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.5 \cdot 10^{-52}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.65 \cdot 10^{-30}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 8.8 \cdot 10^{-24}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 85000000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+20}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.3 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3.95 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.62 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 6.5 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 71.8% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_1 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_2 := x.re \cdot \frac{y.re}{y.im}\\ t_3 := \frac{x.im + t\_2}{y.im}\\ t_4 := \frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ t_5 := \frac{t\_2}{y.im}\\ \mathbf{if}\;y.re \leq -2.2 \cdot 10^{-51}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq -2.7 \cdot 10^{-76}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq -3.8 \cdot 10^{-79}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -6.5 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -3.9 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -3.5 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -3.1 \cdot 10^{-101}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.42 \cdot 10^{-105}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{-263}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 7.5 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 1.45 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.7 \cdot 10^{-78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.35 \cdot 10^{-49}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 1.58 \cdot 10^{-34}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 180000000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 9.2 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.9 \cdot 10^{+37}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+42}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.7 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 5.8 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_1 (* x.re (/ (/ y.re y.im) y.im)))
        (t_2 (* x.re (/ y.re y.im)))
        (t_3 (/ (+ x.im t_2) y.im))
        (t_4 (/ (+ x.im (/ (* x.re y.re) y.im)) y.im))
        (t_5 (/ t_2 y.im)))
   (if (<= y.re -2.2e-51)
     t_0
     (if (<= y.re -2.7e-76)
       t_3
       (if (<= y.re -3.8e-79)
         (/ x.re y.re)
         (if (<= y.re -6.5e-81)
           (/ 1.0 (/ y.im (* y.re (/ x.re y.im))))
           (if (<= y.re -3.9e-81)
             (/ x.re y.re)
             (if (<= y.re -3.5e-101)
               (/ x.im y.im)
               (if (<= y.re -3.1e-101)
                 t_0
                 (if (<= y.re -1.55e-103)
                   (/ x.im y.im)
                   (if (<= y.re -1.42e-105)
                     t_0
                     (if (<= y.re -1.55e-170)
                       t_3
                       (if (<= y.re -1.5e-170)
                         (/ x.re y.re)
                         (if (<= y.re -7e-194)
                           t_3
                           (if (<= y.re -1.45e-198)
                             t_0
                             (if (<= y.re -2e-286)
                               t_3
                               (if (<= y.re 2.25e-263)
                                 t_4
                                 (if (<= y.re 2.4e-263)
                                   t_0
                                   (if (<= y.re 2.1e-262)
                                     t_1
                                     (if (<= y.re 1.3e-210)
                                       t_3
                                       (if (<= y.re 7.5e-210)
                                         (/ x.re y.re)
                                         (if (<= y.re 7e-207)
                                           t_1
                                           (if (<= y.re 4.1e-165)
                                             t_4
                                             (if (<= y.re 8.4e-150)
                                               t_0
                                               (if (<= y.re 8.5e-123)
                                                 t_3
                                                 (if (<= y.re 9e-123)
                                                   (/ x.re y.re)
                                                   (if (<= y.re 3.05e-102)
                                                     t_3
                                                     (if (<= y.re 1.45e-98)
                                                       (/ x.re y.re)
                                                       (if (<= y.re 3e-84)
                                                         (/ x.im y.im)
                                                         (if (<= y.re 3.7e-78)
                                                           (/ x.re y.re)
                                                           (if (<=
                                                                y.re
                                                                1.35e-49)
                                                             t_5
                                                             (if (<=
                                                                  y.re
                                                                  1.58e-34)
                                                               (/ x.re y.re)
                                                               (if (<=
                                                                    y.re
                                                                    5.2e-25)
                                                                 (/ x.im y.im)
                                                                 (if (<=
                                                                      y.re
                                                                      180000000000.0)
                                                                   (/
                                                                    x.re
                                                                    y.re)
                                                                   (if (<=
                                                                        y.re
                                                                        9.2e+19)
                                                                     (/
                                                                      x.im
                                                                      y.im)
                                                                     (if (<=
                                                                          y.re
                                                                          3.9e+37)
                                                                       t_0
                                                                       (if (<=
                                                                            y.re
                                                                            1.25e+42)
                                                                         (/
                                                                          x.im
                                                                          y.im)
                                                                         (if (<=
                                                                              y.re
                                                                              1.2e+57)
                                                                           t_0
                                                                           (if (<=
                                                                                y.re
                                                                                1.25e+57)
                                                                             (/
                                                                              x.im
                                                                              y.im)
                                                                             (if (<=
                                                                                  y.re
                                                                                  1.6e+78)
                                                                               t_0
                                                                               (if (<=
                                                                                    y.re
                                                                                    1.7e+78)
                                                                                 (/
                                                                                  x.im
                                                                                  y.im)
                                                                                 (if (<=
                                                                                      y.re
                                                                                      5.5e+101)
                                                                                   t_0
                                                                                   (if (<=
                                                                                        y.re
                                                                                        5.8e+101)
                                                                                     (/
                                                                                      x.im
                                                                                      y.im)
                                                                                     (if (<=
                                                                                          y.re
                                                                                          3.5e+117)
                                                                                       (/
                                                                                        x.re
                                                                                        y.re)
                                                                                       (if (<=
                                                                                            y.re
                                                                                            3.6e+117)
                                                                                         t_5
                                                                                         (if (<=
                                                                                              y.re
                                                                                              2e+136)
                                                                                           t_0
                                                                                           (if (<=
                                                                                                y.re
                                                                                                2.02e+136)
                                                                                             t_5
                                                                                             (if (<=
                                                                                                  y.re
                                                                                                  2.1e+163)
                                                                                               (/
                                                                                                x.re
                                                                                                y.re)
                                                                                               (if (<=
                                                                                                    y.re
                                                                                                    2.15e+163)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.im)
                                                                                                 (if (<=
                                                                                                      y.re
                                                                                                      2.7e+171)
                                                                                                   (/
                                                                                                    x.re
                                                                                                    y.re)
                                                                                                   (if (<=
                                                                                                        y.re
                                                                                                        2.8e+171)
                                                                                                     t_3
                                                                                                     (if (<=
                                                                                                          y.re
                                                                                                          2.2e+198)
                                                                                                       (/
                                                                                                        x.re
                                                                                                        y.re)
                                                                                                       (if (<=
                                                                                                            y.re
                                                                                                            2.3e+198)
                                                                                                         (/
                                                                                                          x.im
                                                                                                          y.im)
                                                                                                         (if (<=
                                                                                                              y.re
                                                                                                              2.9e+207)
                                                                                                           (/
                                                                                                            x.re
                                                                                                            y.re)
                                                                                                           (if (<=
                                                                                                                y.re
                                                                                                                3e+207)
                                                                                                             t_3
                                                                                                             (if (<=
                                                                                                                  y.re
                                                                                                                  2.35e+224)
                                                                                                               (/
                                                                                                                x.re
                                                                                                                y.re)
                                                                                                               (if (<=
                                                                                                                    y.re
                                                                                                                    2.4e+224)
                                                                                                                 (/
                                                                                                                  x.im
                                                                                                                  y.im)
                                                                                                                 t_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_2 = x_46_re * (y_46_re / y_46_im);
	double t_3 = (x_46_im + t_2) / y_46_im;
	double t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_5 = t_2 / y_46_im;
	double tmp;
	if (y_46_re <= -2.2e-51) {
		tmp = t_0;
	} else if (y_46_re <= -2.7e-76) {
		tmp = t_3;
	} else if (y_46_re <= -3.8e-79) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -6.5e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -3.9e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -3.5e-101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -3.1e-101) {
		tmp = t_0;
	} else if (y_46_re <= -1.55e-103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.42e-105) {
		tmp = t_0;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_3;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_3;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_0;
	} else if (y_46_re <= -2e-286) {
		tmp = t_3;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_4;
	} else if (y_46_re <= 2.4e-263) {
		tmp = t_0;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_1;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_3;
	} else if (y_46_re <= 7.5e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_1;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_4;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_0;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_3;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_3;
	} else if (y_46_re <= 1.45e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.7e-78) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.35e-49) {
		tmp = t_5;
	} else if (y_46_re <= 1.58e-34) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 5.2e-25) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 180000000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 9.2e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.9e+37) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+42) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_0;
	} else if (y_46_re <= 1.7e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_0;
	} else if (y_46_re <= 5.8e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_5;
	} else if (y_46_re <= 2e+136) {
		tmp = t_0;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_5;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_3;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3e+207) {
		tmp = t_3;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_0 = (x_46re + (x_46im * (y_46im / y_46re))) / y_46re
    t_1 = x_46re * ((y_46re / y_46im) / y_46im)
    t_2 = x_46re * (y_46re / y_46im)
    t_3 = (x_46im + t_2) / y_46im
    t_4 = (x_46im + ((x_46re * y_46re) / y_46im)) / y_46im
    t_5 = t_2 / y_46im
    if (y_46re <= (-2.2d-51)) then
        tmp = t_0
    else if (y_46re <= (-2.7d-76)) then
        tmp = t_3
    else if (y_46re <= (-3.8d-79)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-6.5d-81)) then
        tmp = 1.0d0 / (y_46im / (y_46re * (x_46re / y_46im)))
    else if (y_46re <= (-3.9d-81)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-3.5d-101)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-3.1d-101)) then
        tmp = t_0
    else if (y_46re <= (-1.55d-103)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-1.42d-105)) then
        tmp = t_0
    else if (y_46re <= (-1.55d-170)) then
        tmp = t_3
    else if (y_46re <= (-1.5d-170)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-7d-194)) then
        tmp = t_3
    else if (y_46re <= (-1.45d-198)) then
        tmp = t_0
    else if (y_46re <= (-2d-286)) then
        tmp = t_3
    else if (y_46re <= 2.25d-263) then
        tmp = t_4
    else if (y_46re <= 2.4d-263) then
        tmp = t_0
    else if (y_46re <= 2.1d-262) then
        tmp = t_1
    else if (y_46re <= 1.3d-210) then
        tmp = t_3
    else if (y_46re <= 7.5d-210) then
        tmp = x_46re / y_46re
    else if (y_46re <= 7d-207) then
        tmp = t_1
    else if (y_46re <= 4.1d-165) then
        tmp = t_4
    else if (y_46re <= 8.4d-150) then
        tmp = t_0
    else if (y_46re <= 8.5d-123) then
        tmp = t_3
    else if (y_46re <= 9d-123) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.05d-102) then
        tmp = t_3
    else if (y_46re <= 1.45d-98) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3d-84) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.7d-78) then
        tmp = x_46re / y_46re
    else if (y_46re <= 1.35d-49) then
        tmp = t_5
    else if (y_46re <= 1.58d-34) then
        tmp = x_46re / y_46re
    else if (y_46re <= 5.2d-25) then
        tmp = x_46im / y_46im
    else if (y_46re <= 180000000000.0d0) then
        tmp = x_46re / y_46re
    else if (y_46re <= 9.2d+19) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.9d+37) then
        tmp = t_0
    else if (y_46re <= 1.25d+42) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.2d+57) then
        tmp = t_0
    else if (y_46re <= 1.25d+57) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.6d+78) then
        tmp = t_0
    else if (y_46re <= 1.7d+78) then
        tmp = x_46im / y_46im
    else if (y_46re <= 5.5d+101) then
        tmp = t_0
    else if (y_46re <= 5.8d+101) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.5d+117) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.6d+117) then
        tmp = t_5
    else if (y_46re <= 2d+136) then
        tmp = t_0
    else if (y_46re <= 2.02d+136) then
        tmp = t_5
    else if (y_46re <= 2.1d+163) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.15d+163) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.7d+171) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.8d+171) then
        tmp = t_3
    else if (y_46re <= 2.2d+198) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.3d+198) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.9d+207) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3d+207) then
        tmp = t_3
    else if (y_46re <= 2.35d+224) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.4d+224) then
        tmp = x_46im / y_46im
    else
        tmp = t_0
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_2 = x_46_re * (y_46_re / y_46_im);
	double t_3 = (x_46_im + t_2) / y_46_im;
	double t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_5 = t_2 / y_46_im;
	double tmp;
	if (y_46_re <= -2.2e-51) {
		tmp = t_0;
	} else if (y_46_re <= -2.7e-76) {
		tmp = t_3;
	} else if (y_46_re <= -3.8e-79) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -6.5e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -3.9e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -3.5e-101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -3.1e-101) {
		tmp = t_0;
	} else if (y_46_re <= -1.55e-103) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.42e-105) {
		tmp = t_0;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_3;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_3;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_0;
	} else if (y_46_re <= -2e-286) {
		tmp = t_3;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_4;
	} else if (y_46_re <= 2.4e-263) {
		tmp = t_0;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_1;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_3;
	} else if (y_46_re <= 7.5e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_1;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_4;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_0;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_3;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_3;
	} else if (y_46_re <= 1.45e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3e-84) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.7e-78) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.35e-49) {
		tmp = t_5;
	} else if (y_46_re <= 1.58e-34) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 5.2e-25) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 180000000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 9.2e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.9e+37) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+42) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_0;
	} else if (y_46_re <= 1.7e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_0;
	} else if (y_46_re <= 5.8e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_5;
	} else if (y_46_re <= 2e+136) {
		tmp = t_0;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_5;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_3;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3e+207) {
		tmp = t_3;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re
	t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_2 = x_46_re * (y_46_re / y_46_im)
	t_3 = (x_46_im + t_2) / y_46_im
	t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im
	t_5 = t_2 / y_46_im
	tmp = 0
	if y_46_re <= -2.2e-51:
		tmp = t_0
	elif y_46_re <= -2.7e-76:
		tmp = t_3
	elif y_46_re <= -3.8e-79:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -6.5e-81:
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)))
	elif y_46_re <= -3.9e-81:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -3.5e-101:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -3.1e-101:
		tmp = t_0
	elif y_46_re <= -1.55e-103:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -1.42e-105:
		tmp = t_0
	elif y_46_re <= -1.55e-170:
		tmp = t_3
	elif y_46_re <= -1.5e-170:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -7e-194:
		tmp = t_3
	elif y_46_re <= -1.45e-198:
		tmp = t_0
	elif y_46_re <= -2e-286:
		tmp = t_3
	elif y_46_re <= 2.25e-263:
		tmp = t_4
	elif y_46_re <= 2.4e-263:
		tmp = t_0
	elif y_46_re <= 2.1e-262:
		tmp = t_1
	elif y_46_re <= 1.3e-210:
		tmp = t_3
	elif y_46_re <= 7.5e-210:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 7e-207:
		tmp = t_1
	elif y_46_re <= 4.1e-165:
		tmp = t_4
	elif y_46_re <= 8.4e-150:
		tmp = t_0
	elif y_46_re <= 8.5e-123:
		tmp = t_3
	elif y_46_re <= 9e-123:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.05e-102:
		tmp = t_3
	elif y_46_re <= 1.45e-98:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3e-84:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.7e-78:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 1.35e-49:
		tmp = t_5
	elif y_46_re <= 1.58e-34:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 5.2e-25:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 180000000000.0:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 9.2e+19:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.9e+37:
		tmp = t_0
	elif y_46_re <= 1.25e+42:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.2e+57:
		tmp = t_0
	elif y_46_re <= 1.25e+57:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.6e+78:
		tmp = t_0
	elif y_46_re <= 1.7e+78:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 5.5e+101:
		tmp = t_0
	elif y_46_re <= 5.8e+101:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.5e+117:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.6e+117:
		tmp = t_5
	elif y_46_re <= 2e+136:
		tmp = t_0
	elif y_46_re <= 2.02e+136:
		tmp = t_5
	elif y_46_re <= 2.1e+163:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.15e+163:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.7e+171:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.8e+171:
		tmp = t_3
	elif y_46_re <= 2.2e+198:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.3e+198:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.9e+207:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3e+207:
		tmp = t_3
	elif y_46_re <= 2.35e+224:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.4e+224:
		tmp = x_46_im / y_46_im
	else:
		tmp = t_0
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_1 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_2 = Float64(x_46_re * Float64(y_46_re / y_46_im))
	t_3 = Float64(Float64(x_46_im + t_2) / y_46_im)
	t_4 = Float64(Float64(x_46_im + Float64(Float64(x_46_re * y_46_re) / y_46_im)) / y_46_im)
	t_5 = Float64(t_2 / y_46_im)
	tmp = 0.0
	if (y_46_re <= -2.2e-51)
		tmp = t_0;
	elseif (y_46_re <= -2.7e-76)
		tmp = t_3;
	elseif (y_46_re <= -3.8e-79)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -6.5e-81)
		tmp = Float64(1.0 / Float64(y_46_im / Float64(y_46_re * Float64(x_46_re / y_46_im))));
	elseif (y_46_re <= -3.9e-81)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -3.5e-101)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -3.1e-101)
		tmp = t_0;
	elseif (y_46_re <= -1.55e-103)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -1.42e-105)
		tmp = t_0;
	elseif (y_46_re <= -1.55e-170)
		tmp = t_3;
	elseif (y_46_re <= -1.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -7e-194)
		tmp = t_3;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_0;
	elseif (y_46_re <= -2e-286)
		tmp = t_3;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_4;
	elseif (y_46_re <= 2.4e-263)
		tmp = t_0;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_1;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_3;
	elseif (y_46_re <= 7.5e-210)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 7e-207)
		tmp = t_1;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_4;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_0;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_3;
	elseif (y_46_re <= 9e-123)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.05e-102)
		tmp = t_3;
	elseif (y_46_re <= 1.45e-98)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3e-84)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.7e-78)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 1.35e-49)
		tmp = t_5;
	elseif (y_46_re <= 1.58e-34)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 5.2e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 180000000000.0)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 9.2e+19)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.9e+37)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+42)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.2e+57)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+57)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.6e+78)
		tmp = t_0;
	elseif (y_46_re <= 1.7e+78)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 5.5e+101)
		tmp = t_0;
	elseif (y_46_re <= 5.8e+101)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.5e+117)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.6e+117)
		tmp = t_5;
	elseif (y_46_re <= 2e+136)
		tmp = t_0;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_5;
	elseif (y_46_re <= 2.1e+163)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.15e+163)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.7e+171)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.8e+171)
		tmp = t_3;
	elseif (y_46_re <= 2.2e+198)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.3e+198)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.9e+207)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3e+207)
		tmp = t_3;
	elseif (y_46_re <= 2.35e+224)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.4e+224)
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = t_0;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_2 = x_46_re * (y_46_re / y_46_im);
	t_3 = (x_46_im + t_2) / y_46_im;
	t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	t_5 = t_2 / y_46_im;
	tmp = 0.0;
	if (y_46_re <= -2.2e-51)
		tmp = t_0;
	elseif (y_46_re <= -2.7e-76)
		tmp = t_3;
	elseif (y_46_re <= -3.8e-79)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -6.5e-81)
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	elseif (y_46_re <= -3.9e-81)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -3.5e-101)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -3.1e-101)
		tmp = t_0;
	elseif (y_46_re <= -1.55e-103)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -1.42e-105)
		tmp = t_0;
	elseif (y_46_re <= -1.55e-170)
		tmp = t_3;
	elseif (y_46_re <= -1.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -7e-194)
		tmp = t_3;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_0;
	elseif (y_46_re <= -2e-286)
		tmp = t_3;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_4;
	elseif (y_46_re <= 2.4e-263)
		tmp = t_0;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_1;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_3;
	elseif (y_46_re <= 7.5e-210)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 7e-207)
		tmp = t_1;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_4;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_0;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_3;
	elseif (y_46_re <= 9e-123)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.05e-102)
		tmp = t_3;
	elseif (y_46_re <= 1.45e-98)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3e-84)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.7e-78)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 1.35e-49)
		tmp = t_5;
	elseif (y_46_re <= 1.58e-34)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 5.2e-25)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 180000000000.0)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 9.2e+19)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.9e+37)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+42)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.2e+57)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+57)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.6e+78)
		tmp = t_0;
	elseif (y_46_re <= 1.7e+78)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 5.5e+101)
		tmp = t_0;
	elseif (y_46_re <= 5.8e+101)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.5e+117)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.6e+117)
		tmp = t_5;
	elseif (y_46_re <= 2e+136)
		tmp = t_0;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_5;
	elseif (y_46_re <= 2.1e+163)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.15e+163)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.7e+171)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.8e+171)
		tmp = t_3;
	elseif (y_46_re <= 2.2e+198)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.3e+198)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.9e+207)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3e+207)
		tmp = t_3;
	elseif (y_46_re <= 2.35e+224)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.4e+224)
		tmp = x_46_im / y_46_im;
	else
		tmp = t_0;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x$46$im + t$95$2), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x$46$im + N[(N[(x$46$re * y$46$re), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$5 = N[(t$95$2 / y$46$im), $MachinePrecision]}, If[LessEqual[y$46$re, -2.2e-51], t$95$0, If[LessEqual[y$46$re, -2.7e-76], t$95$3, If[LessEqual[y$46$re, -3.8e-79], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -6.5e-81], N[(1.0 / N[(y$46$im / N[(y$46$re * N[(x$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$re, -3.9e-81], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -3.5e-101], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -3.1e-101], t$95$0, If[LessEqual[y$46$re, -1.55e-103], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -1.42e-105], t$95$0, If[LessEqual[y$46$re, -1.55e-170], t$95$3, If[LessEqual[y$46$re, -1.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -7e-194], t$95$3, If[LessEqual[y$46$re, -1.45e-198], t$95$0, If[LessEqual[y$46$re, -2e-286], t$95$3, If[LessEqual[y$46$re, 2.25e-263], t$95$4, If[LessEqual[y$46$re, 2.4e-263], t$95$0, If[LessEqual[y$46$re, 2.1e-262], t$95$1, If[LessEqual[y$46$re, 1.3e-210], t$95$3, If[LessEqual[y$46$re, 7.5e-210], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 7e-207], t$95$1, If[LessEqual[y$46$re, 4.1e-165], t$95$4, If[LessEqual[y$46$re, 8.4e-150], t$95$0, If[LessEqual[y$46$re, 8.5e-123], t$95$3, If[LessEqual[y$46$re, 9e-123], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.05e-102], t$95$3, If[LessEqual[y$46$re, 1.45e-98], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3e-84], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.7e-78], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 1.35e-49], t$95$5, If[LessEqual[y$46$re, 1.58e-34], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 5.2e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 180000000000.0], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 9.2e+19], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.9e+37], t$95$0, If[LessEqual[y$46$re, 1.25e+42], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.2e+57], t$95$0, If[LessEqual[y$46$re, 1.25e+57], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.6e+78], t$95$0, If[LessEqual[y$46$re, 1.7e+78], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 5.5e+101], t$95$0, If[LessEqual[y$46$re, 5.8e+101], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.5e+117], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.6e+117], t$95$5, If[LessEqual[y$46$re, 2e+136], t$95$0, If[LessEqual[y$46$re, 2.02e+136], t$95$5, If[LessEqual[y$46$re, 2.1e+163], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.15e+163], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.7e+171], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.8e+171], t$95$3, If[LessEqual[y$46$re, 2.2e+198], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.3e+198], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.9e+207], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3e+207], t$95$3, If[LessEqual[y$46$re, 2.35e+224], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.4e+224], N[(x$46$im / y$46$im), $MachinePrecision], t$95$0]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y.re < -2.2e-51 or -3.49999999999999994e-101 < y.re < -3.09999999999999973e-101 or -1.5500000000000001e-103 < y.re < -1.4199999999999999e-105 or -7.0000000000000006e-194 < y.re < -1.45e-198 or 2.2499999999999999e-263 < y.re < 2.4e-263 or 4.1000000000000002e-165 < y.re < 8.4000000000000004e-150 or 9.2e19 < y.re < 3.8999999999999999e37 or 1.25000000000000002e42 < y.re < 1.20000000000000002e57 or 1.24999999999999993e57 < y.re < 1.59999999999999997e78 or 1.70000000000000004e78 < y.re < 5.50000000000000018e101 or 3.60000000000000013e117 < y.re < 2.00000000000000012e136 or 2.40000000000000001e224 < y.re

   1. Initial program 56.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 85.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 89.9%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 89.9%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -2.2e-51 < y.re < -2.7e-76 or -1.4199999999999999e-105 < y.re < -1.54999999999999993e-170 or -1.50000000000000007e-170 < y.re < -7.0000000000000006e-194 or -1.45e-198 < y.re < -2.0000000000000001e-286 or 2.1e-262 < y.re < 1.2999999999999999e-210 or 8.4000000000000004e-150 < y.re < 8.4999999999999995e-123 or 8.99999999999999986e-123 < y.re < 3.0499999999999999e-102 or 2.6999999999999998e171 < y.re < 2.80000000000000004e171 or 2.89999999999999997e207 < y.re < 2.99999999999999983e207

   1. Initial program 65.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.5%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -2.7e-76 < y.re < -3.8000000000000001e-79 or -6.5000000000000002e-81 < y.re < -3.89999999999999985e-81 or -1.54999999999999993e-170 < y.re < -1.50000000000000007e-170 or 1.2999999999999999e-210 < y.re < 7.4999999999999997e-210 or 8.4999999999999995e-123 < y.re < 8.99999999999999986e-123 or 3.0499999999999999e-102 < y.re < 1.45e-98 or 3.0000000000000001e-84 < y.re < 3.70000000000000006e-78 or 1.35e-49 < y.re < 1.57999999999999997e-34 or 5.2e-25 < y.re < 1.8e11 or 5.79999999999999974e101 < y.re < 3.49999999999999983e117 or 2.02000000000000002e136 < y.re < 2.1e163 or 2.1500000000000001e163 < y.re < 2.6999999999999998e171 or 2.80000000000000004e171 < y.re < 2.2e198 or 2.3000000000000001e198 < y.re < 2.89999999999999997e207 or 2.99999999999999983e207 < y.re < 2.3500000000000001e224

   1. Initial program 66.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 97.1%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -3.8000000000000001e-79 < y.re < -6.5000000000000002e-81

   1. Initial program 98.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   10. Taylor expanded in x.re around inf 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{\frac{x.re \cdot y.re}{y.im}}}} \]
   11. Step-by-step derivation

       1. *-commutative 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\frac{\color{blue}{y.re \cdot x.re}}{y.im}}} \]

       2. associate-/l* 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   12. Simplified 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   if -3.89999999999999985e-81 < y.re < -3.49999999999999994e-101 or -3.09999999999999973e-101 < y.re < -1.5500000000000001e-103 or 1.45e-98 < y.re < 3.0000000000000001e-84 or 1.57999999999999997e-34 < y.re < 5.2e-25 or 1.8e11 < y.re < 9.2e19 or 3.8999999999999999e37 < y.re < 1.25000000000000002e42 or 1.20000000000000002e57 < y.re < 1.24999999999999993e57 or 1.59999999999999997e78 < y.re < 1.70000000000000004e78 or 5.50000000000000018e101 < y.re < 5.79999999999999974e101 or 2.1e163 < y.re < 2.1500000000000001e163 or 2.2e198 < y.re < 2.3000000000000001e198 or 2.3500000000000001e224 < y.re < 2.40000000000000001e224

   1. Initial program 48.7%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -2.0000000000000001e-286 < y.re < 2.2499999999999999e-263 or 7.0000000000000003e-207 < y.re < 4.1000000000000002e-165

   1. Initial program 91.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]

   if 2.4e-263 < y.re < 2.1e-262 or 7.4999999999999997e-210 < y.re < 7.0000000000000003e-207

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 99.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 100.0%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 3.70000000000000006e-78 < y.re < 1.35e-49 or 3.49999999999999983e117 < y.re < 3.60000000000000013e117 or 2.00000000000000012e136 < y.re < 2.02000000000000002e136

   1. Initial program 50.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 51.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 50.9%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 77.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 77.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 77.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 77.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 76.5%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 76.5%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 76.5%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 76.5%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 76.5%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 99.6%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 99.6%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]
3. Recombined 8 regimes into one program.

4. Final simplification 94.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y.re \leq -2.2 \cdot 10^{-51}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -2.7 \cdot 10^{-76}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -3.8 \cdot 10^{-79}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -6.5 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -3.9 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -3.5 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -3.1 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.42 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 7.5 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.45 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.7 \cdot 10^{-78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.35 \cdot 10^{-49}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.58 \cdot 10^{-34}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 180000000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 9.2 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.9 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+42}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.7 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 5.8 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 43.1% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{-x.im}{y.re}\\ t_1 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_2 := \frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{if}\;x.im \leq -9.5 \cdot 10^{-255}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 10^{-271}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-265}:\\ \;\;\;\;\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-258}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.6 \cdot 10^{-254}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.3 \cdot 10^{-182}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 4.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.45 \cdot 10^{-163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.52 \cdot 10^{-158}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.4 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.3 \cdot 10^{-119}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 8.5 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.1 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.1 \cdot 10^{-96}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.12 \cdot 10^{-94}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-63}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{-59}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.4 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.95 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-46}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 9.2 \cdot 10^{+27}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.5 \cdot 10^{+34}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.6 \cdot 10^{+76}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 1.75 \cdot 10^{+134}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.4 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{+262}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.1 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{+299} \lor \neg \left(x.im \leq 2.6 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (- x.im) y.re))
        (t_1 (* x.re (/ (/ y.re y.im) y.im)))
        (t_2 (/ (* x.re (/ y.re y.im)) y.im)))
   (if (<= x.im -9.5e-255)
     (/ x.re y.re)
     (if (<= x.im 1e-271)
       t_2
       (if (<= x.im 1.8e-265)
         (/ (/ x.re y.im) (/ y.im y.re))
         (if (<= x.im 7.5e-258)
           (/ x.re y.re)
           (if (<= x.im 3.6e-254)
             t_2
             (if (<= x.im 9e-247)
               (/ x.re y.re)
               (if (<= x.im 8.8e-243)
                 (/ x.im y.im)
                 (if (<= x.im 1.8e-193)
                   (/ x.re y.re)
                   (if (<= x.im 2.3e-182)
                     t_1
                     (if (<= x.im 4.5e-170)
                       (/ x.re y.re)
                       (if (<= x.im 2.45e-163)
                         (/ x.im y.im)
                         (if (<= x.im 1.52e-158)
                           t_1
                           (if (<= x.im 7.5e-141)
                             (/ x.re y.re)
                             (if (<= x.im 7.8e-141)
                               (/ x.im y.re)
                               (if (<= x.im 2.7e-131)
                                 (/ x.re y.re)
                                 (if (<= x.im 5.4e-131)
                                   (/ x.im y.im)
                                   (if (<= x.im 1.4e-124)
                                     (/ x.re y.re)
                                     (if (<= x.im 2.3e-119)
                                       t_1
                                       (if (<= x.im 8.5e-114)
                                         (/ x.im y.im)
                                         (if (<= x.im 5e-102)
                                           (/ x.re y.re)
                                           (if (<= x.im 5.1e-102)
                                             (/ x.im y.im)
                                             (if (<= x.im 2.1e-96)
                                               (/ x.re y.re)
                                               (if (<= x.im 1.12e-94)
                                                 (/ x.im y.im)
                                                 (if (<= x.im 1.2e-85)
                                                   (/ x.re y.re)
                                                   (if (<= x.im 4.1e-72)
                                                     (/ x.im y.im)
                                                     (if (<= x.im 4.2e-72)
                                                       t_0
                                                       (if (<= x.im 2e-63)
                                                         (/ x.re y.re)
                                                         (if (<= x.im 1.2e-59)
                                                           (/ x.im y.im)
                                                           (if (<=
                                                                x.im
                                                                5.4e-56)
                                                             (/ x.re y.re)
                                                             (if (<=
                                                                  x.im
                                                                  1.95e-46)
                                                               (/ x.im y.im)
                                                               (if (<=
                                                                    x.im
                                                                    2e-46)
                                                                 t_2
                                                                 (if (<=
                                                                      x.im
                                                                      3.5e-25)
                                                                   (/
                                                                    x.im
                                                                    y.im)
                                                                   (if (<=
                                                                        x.im
                                                                        1.35e-13)
                                                                     t_1
                                                                     (if (<=
                                                                          x.im
                                                                          1.4e-13)
                                                                       (/
                                                                        x.im
                                                                        y.re)
                                                                       (if (<=
                                                                            x.im
                                                                            9.2e+27)
                                                                         (/
                                                                          x.re
                                                                          y.re)
                                                                         (if (<=
                                                                              x.im
                                                                              8.5e+34)
                                                                           (/
                                                                            x.im
                                                                            y.im)
                                                                           (if (<=
                                                                                x.im
                                                                                9e+46)
                                                                             (/
                                                                              x.re
                                                                              y.re)
                                                                             (if (<=
                                                                                  x.im
                                                                                  9.5e+46)
                                                                               (/
                                                                                x.im
                                                                                y.re)
                                                                               (if (<=
                                                                                    x.im
                                                                                    1.6e+76)
                                                                                 (/
                                                                                  x.re
                                                                                  y.re)
                                                                                 (if (<=
                                                                                      x.im
                                                                                      3.7e+117)
                                                                                   (/
                                                                                    x.im
                                                                                    y.im)
                                                                                   (if (<=
                                                                                        x.im
                                                                                        3.8e+117)
                                                                                     t_0
                                                                                     (if (<=
                                                                                          x.im
                                                                                          1.75e+134)
                                                                                       (/
                                                                                        x.re
                                                                                        y.re)
                                                                                       (if (<=
                                                                                            x.im
                                                                                            6.4e+136)
                                                                                         (/
                                                                                          x.im
                                                                                          y.im)
                                                                                         (if (<=
                                                                                              x.im
                                                                                              5.8e+170)
                                                                                           (/
                                                                                            x.re
                                                                                            y.re)
                                                                                           (if (<=
                                                                                                x.im
                                                                                                6e+170)
                                                                                             (/
                                                                                              x.im
                                                                                              y.re)
                                                                                             (if (<=
                                                                                                  x.im
                                                                                                  4e+185)
                                                                                               (/
                                                                                                x.re
                                                                                                y.re)
                                                                                               (if (<=
                                                                                                    x.im
                                                                                                    5.8e+188)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.im)
                                                                                                 (if (<=
                                                                                                      x.im
                                                                                                      6e+188)
                                                                                                   (/
                                                                                                    x.im
                                                                                                    y.re)
                                                                                                   (if (<=
                                                                                                        x.im
                                                                                                        1.35e+244)
                                                                                                     (/
                                                                                                      x.im
                                                                                                      y.im)
                                                                                                     (if (<=
                                                                                                          x.im
                                                                                                          1.4e+244)
                                                                                                       (/
                                                                                                        x.im
                                                                                                        y.re)
                                                                                                       (if (<=
                                                                                                            x.im
                                                                                                            1.8e+262)
                                                                                                         (/
                                                                                                          x.im
                                                                                                          y.im)
                                                                                                         (if (<=
                                                                                                              x.im
                                                                                                              3.1e+271)
                                                                                                           (/
                                                                                                            x.re
                                                                                                            y.re)
                                                                                                           (if (<=
                                                                                                                x.im
                                                                                                                1.7e+276)
                                                                                                             (/
                                                                                                              x.im
                                                                                                              y.im)
                                                                                                             (if (<=
                                                                                                                  x.im
                                                                                                                  1.26e+277)
                                                                                                               t_0
                                                                                                               (if (or (<=
                                                                                                                        x.im
                                                                                                                        2e+299)
                                                                                                                       (not
                                                                                                                        (<=
                                                                                                                         x.im
                                                                                                                         2.6e+299)))
                                                                                                                 (/
                                                                                                                  x.im
                                                                                                                  y.im)
                                                                                                                 (/
                                                                                                                  x.re
                                                                                                                  y.re))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im;
	double tmp;
	if (x_46_im <= -9.5e-255) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1e-271) {
		tmp = t_2;
	} else if (x_46_im <= 1.8e-265) {
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re);
	} else if (x_46_im <= 7.5e-258) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.6e-254) {
		tmp = t_2;
	} else if (x_46_im <= 9e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.8e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.8e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.3e-182) {
		tmp = t_1;
	} else if (x_46_im <= 4.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.45e-163) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.52e-158) {
		tmp = t_1;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.7e-131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.4e-131) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.3e-119) {
		tmp = t_1;
	} else if (x_46_im <= 8.5e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5e-102) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.1e-102) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.1e-96) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.12e-94) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.2e-85) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_0;
	} else if (x_46_im <= 2e-63) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.2e-59) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.4e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.95e-46) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2e-46) {
		tmp = t_2;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_1;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 9.2e+27) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.5e+34) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.6e+76) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 1.75e+134) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.4e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.8e+262) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.1e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if ((x_46_im <= 2e+299) || !(x_46_im <= 2.6e+299)) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_0 = -x_46im / y_46re
    t_1 = x_46re * ((y_46re / y_46im) / y_46im)
    t_2 = (x_46re * (y_46re / y_46im)) / y_46im
    if (x_46im <= (-9.5d-255)) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1d-271) then
        tmp = t_2
    else if (x_46im <= 1.8d-265) then
        tmp = (x_46re / y_46im) / (y_46im / y_46re)
    else if (x_46im <= 7.5d-258) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.6d-254) then
        tmp = t_2
    else if (x_46im <= 9d-247) then
        tmp = x_46re / y_46re
    else if (x_46im <= 8.8d-243) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.8d-193) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.3d-182) then
        tmp = t_1
    else if (x_46im <= 4.5d-170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.45d-163) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.52d-158) then
        tmp = t_1
    else if (x_46im <= 7.5d-141) then
        tmp = x_46re / y_46re
    else if (x_46im <= 7.8d-141) then
        tmp = x_46im / y_46re
    else if (x_46im <= 2.7d-131) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.4d-131) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d-124) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.3d-119) then
        tmp = t_1
    else if (x_46im <= 8.5d-114) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5d-102) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.1d-102) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2.1d-96) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.12d-94) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.2d-85) then
        tmp = x_46re / y_46re
    else if (x_46im <= 4.1d-72) then
        tmp = x_46im / y_46im
    else if (x_46im <= 4.2d-72) then
        tmp = t_0
    else if (x_46im <= 2d-63) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.2d-59) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.4d-56) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.95d-46) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2d-46) then
        tmp = t_2
    else if (x_46im <= 3.5d-25) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.35d-13) then
        tmp = t_1
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 9.2d+27) then
        tmp = x_46re / y_46re
    else if (x_46im <= 8.5d+34) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.6d+76) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.7d+117) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.8d+117) then
        tmp = t_0
    else if (x_46im <= 1.75d+134) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.4d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 4d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.8d+262) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.1d+271) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d+276) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.26d+277) then
        tmp = t_0
    else if ((x_46im <= 2d+299) .or. (.not. (x_46im <= 2.6d+299))) then
        tmp = x_46im / y_46im
    else
        tmp = x_46re / y_46re
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im;
	double tmp;
	if (x_46_im <= -9.5e-255) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1e-271) {
		tmp = t_2;
	} else if (x_46_im <= 1.8e-265) {
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re);
	} else if (x_46_im <= 7.5e-258) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.6e-254) {
		tmp = t_2;
	} else if (x_46_im <= 9e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.8e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.8e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.3e-182) {
		tmp = t_1;
	} else if (x_46_im <= 4.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.45e-163) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.52e-158) {
		tmp = t_1;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.7e-131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.4e-131) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.3e-119) {
		tmp = t_1;
	} else if (x_46_im <= 8.5e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5e-102) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.1e-102) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.1e-96) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.12e-94) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.2e-85) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_0;
	} else if (x_46_im <= 2e-63) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.2e-59) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.4e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.95e-46) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2e-46) {
		tmp = t_2;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_1;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 9.2e+27) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.5e+34) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.6e+76) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 1.75e+134) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.4e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.8e+262) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.1e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if ((x_46_im <= 2e+299) || !(x_46_im <= 2.6e+299)) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = -x_46_im / y_46_re
	t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im
	tmp = 0
	if x_46_im <= -9.5e-255:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1e-271:
		tmp = t_2
	elif x_46_im <= 1.8e-265:
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re)
	elif x_46_im <= 7.5e-258:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.6e-254:
		tmp = t_2
	elif x_46_im <= 9e-247:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 8.8e-243:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.8e-193:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.3e-182:
		tmp = t_1
	elif x_46_im <= 4.5e-170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.45e-163:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.52e-158:
		tmp = t_1
	elif x_46_im <= 7.5e-141:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 7.8e-141:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 2.7e-131:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.4e-131:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e-124:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.3e-119:
		tmp = t_1
	elif x_46_im <= 8.5e-114:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5e-102:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.1e-102:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2.1e-96:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.12e-94:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.2e-85:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 4.1e-72:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 4.2e-72:
		tmp = t_0
	elif x_46_im <= 2e-63:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.2e-59:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.4e-56:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.95e-46:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2e-46:
		tmp = t_2
	elif x_46_im <= 3.5e-25:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.35e-13:
		tmp = t_1
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 9.2e+27:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 8.5e+34:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.6e+76:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.7e+117:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.8e+117:
		tmp = t_0
	elif x_46_im <= 1.75e+134:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.4e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 4e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.8e+262:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.1e+271:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e+276:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.26e+277:
		tmp = t_0
	elif (x_46_im <= 2e+299) or not (x_46_im <= 2.6e+299):
		tmp = x_46_im / y_46_im
	else:
		tmp = x_46_re / y_46_re
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(-x_46_im) / y_46_re)
	t_1 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_2 = Float64(Float64(x_46_re * Float64(y_46_re / y_46_im)) / y_46_im)
	tmp = 0.0
	if (x_46_im <= -9.5e-255)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1e-271)
		tmp = t_2;
	elseif (x_46_im <= 1.8e-265)
		tmp = Float64(Float64(x_46_re / y_46_im) / Float64(y_46_im / y_46_re));
	elseif (x_46_im <= 7.5e-258)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.6e-254)
		tmp = t_2;
	elseif (x_46_im <= 9e-247)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 8.8e-243)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.8e-193)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.3e-182)
		tmp = t_1;
	elseif (x_46_im <= 4.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.45e-163)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.52e-158)
		tmp = t_1;
	elseif (x_46_im <= 7.5e-141)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 7.8e-141)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 2.7e-131)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.4e-131)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e-124)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.3e-119)
		tmp = t_1;
	elseif (x_46_im <= 8.5e-114)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5e-102)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.1e-102)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2.1e-96)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.12e-94)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.2e-85)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 4.1e-72)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 4.2e-72)
		tmp = t_0;
	elseif (x_46_im <= 2e-63)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.2e-59)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.4e-56)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.95e-46)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2e-46)
		tmp = t_2;
	elseif (x_46_im <= 3.5e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.35e-13)
		tmp = t_1;
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 9.2e+27)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 8.5e+34)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.6e+76)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.7e+117)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 1.75e+134)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.4e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 4e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.8e+262)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.1e+271)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e+276)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif ((x_46_im <= 2e+299) || !(x_46_im <= 2.6e+299))
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = Float64(x_46_re / y_46_re);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = -x_46_im / y_46_re;
	t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im;
	tmp = 0.0;
	if (x_46_im <= -9.5e-255)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1e-271)
		tmp = t_2;
	elseif (x_46_im <= 1.8e-265)
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re);
	elseif (x_46_im <= 7.5e-258)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.6e-254)
		tmp = t_2;
	elseif (x_46_im <= 9e-247)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 8.8e-243)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.8e-193)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.3e-182)
		tmp = t_1;
	elseif (x_46_im <= 4.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.45e-163)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.52e-158)
		tmp = t_1;
	elseif (x_46_im <= 7.5e-141)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 7.8e-141)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 2.7e-131)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.4e-131)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e-124)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.3e-119)
		tmp = t_1;
	elseif (x_46_im <= 8.5e-114)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5e-102)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.1e-102)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2.1e-96)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.12e-94)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.2e-85)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 4.1e-72)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 4.2e-72)
		tmp = t_0;
	elseif (x_46_im <= 2e-63)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.2e-59)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.4e-56)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.95e-46)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2e-46)
		tmp = t_2;
	elseif (x_46_im <= 3.5e-25)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.35e-13)
		tmp = t_1;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 9.2e+27)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 8.5e+34)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.6e+76)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.7e+117)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 1.75e+134)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.4e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 4e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.8e+262)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.1e+271)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e+276)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif ((x_46_im <= 2e+299) || ~((x_46_im <= 2.6e+299)))
		tmp = x_46_im / y_46_im;
	else
		tmp = x_46_re / y_46_re;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[((-x$46$im) / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, If[LessEqual[x$46$im, -9.5e-255], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1e-271], t$95$2, If[LessEqual[x$46$im, 1.8e-265], N[(N[(x$46$re / y$46$im), $MachinePrecision] / N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision], If[LessEqual[x$46$im, 7.5e-258], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.6e-254], t$95$2, If[LessEqual[x$46$im, 9e-247], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 8.8e-243], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.8e-193], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.3e-182], t$95$1, If[LessEqual[x$46$im, 4.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.45e-163], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.52e-158], t$95$1, If[LessEqual[x$46$im, 7.5e-141], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 7.8e-141], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.7e-131], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.4e-131], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-124], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.3e-119], t$95$1, If[LessEqual[x$46$im, 8.5e-114], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5e-102], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.1e-102], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2.1e-96], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.12e-94], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.2e-85], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.1e-72], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 4.2e-72], t$95$0, If[LessEqual[x$46$im, 2e-63], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.2e-59], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.4e-56], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.95e-46], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2e-46], t$95$2, If[LessEqual[x$46$im, 3.5e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.35e-13], t$95$1, If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.2e+27], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 8.5e+34], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.6e+76], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.7e+117], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+117], t$95$0, If[LessEqual[x$46$im, 1.75e+134], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.4e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.8e+262], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.1e+271], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+276], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.26e+277], t$95$0, If[Or[LessEqual[x$46$im, 2e+299], N[Not[LessEqual[x$46$im, 2.6e+299]], $MachinePrecision]], N[(x$46$im / y$46$im), $MachinePrecision], N[(x$46$re / y$46$re), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if x.im < -9.5000000000000003e-255 or 1.8000000000000001e-265 < x.im < 7.4999999999999998e-258 or 3.59999999999999984e-254 < x.im < 9.0000000000000005e-247 or 8.7999999999999996e-243 < x.im < 1.7999999999999999e-193 or 2.2999999999999999e-182 < x.im < 4.50000000000000002e-170 or 1.52e-158 < x.im < 7.50000000000000046e-141 or 7.7999999999999994e-141 < x.im < 2.70000000000000021e-131 or 5.40000000000000042e-131 < x.im < 1.39999999999999999e-124 or 8.5000000000000006e-114 < x.im < 5.00000000000000026e-102 or 5.09999999999999999e-102 < x.im < 2.10000000000000001e-96 or 1.12e-94 < x.im < 1.2e-85 or 4.2e-72 < x.im < 2.00000000000000013e-63 or 1.20000000000000008e-59 < x.im < 5.3999999999999999e-56 or 1.4000000000000001e-13 < x.im < 9.2000000000000002e27 or 8.5000000000000003e34 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 1.59999999999999988e76 or 3.8000000000000002e117 < x.im < 1.75000000000000001e134 or 6.39999999999999976e136 < x.im < 5.8000000000000001e170 or 5.99999999999999994e170 < x.im < 3.9999999999999999e185 or 1.79999999999999996e262 < x.im < 3.1000000000000001e271 or 2.0000000000000001e299 < x.im < 2.6e299

   1. Initial program 59.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 64.5%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -9.5000000000000003e-255 < x.im < 9.99999999999999963e-272 or 7.4999999999999998e-258 < x.im < 3.59999999999999984e-254 or 1.9500000000000001e-46 < x.im < 2.00000000000000005e-46

   1. Initial program 84.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 69.3%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 73.1%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 73.1%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 65.8%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 66.1%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 66.1%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 66.1%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 66.1%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 66.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 66.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 66.0%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 66.1%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 66.1%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 73.1%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 73.1%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   if 9.99999999999999963e-272 < x.im < 1.8000000000000001e-265

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 99.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 99.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 99.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 99.2%

          \[\leadsto \color{blue}{\left(x.re \cdot \frac{1}{y.im}\right) \cdot \frac{y.re}{y.im}} \]

       2. div-inv 99.2%

          \[\leadsto \color{blue}{\frac{x.re}{y.im}} \cdot \frac{y.re}{y.im} \]

       3. clear-num 99.2%

          \[\leadsto \frac{x.re}{y.im} \cdot \color{blue}{\frac{1}{\frac{y.im}{y.re}}} \]

       4. un-div-inv 100.0%

          \[\leadsto \color{blue}{\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}} \]

   12. Applied egg-rr 100.0%

       \[\leadsto \color{blue}{\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}} \]

   if 9.0000000000000005e-247 < x.im < 8.7999999999999996e-243 or 4.50000000000000002e-170 < x.im < 2.4500000000000001e-163 or 2.70000000000000021e-131 < x.im < 5.40000000000000042e-131 or 2.29999999999999993e-119 < x.im < 8.5000000000000006e-114 or 5.00000000000000026e-102 < x.im < 5.09999999999999999e-102 or 2.10000000000000001e-96 < x.im < 1.12e-94 or 1.2e-85 < x.im < 4.10000000000000003e-72 or 2.00000000000000013e-63 < x.im < 1.20000000000000008e-59 or 5.3999999999999999e-56 < x.im < 1.9500000000000001e-46 or 2.00000000000000005e-46 < x.im < 3.5000000000000002e-25 or 9.2000000000000002e27 < x.im < 8.5000000000000003e34 or 1.59999999999999988e76 < x.im < 3.6999999999999999e117 or 1.75000000000000001e134 < x.im < 6.39999999999999976e136 or 3.9999999999999999e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 1.79999999999999996e262 or 3.1000000000000001e271 < x.im < 1.69999999999999992e276 or 1.25999999999999995e277 < x.im < 2.0000000000000001e299 or 2.6e299 < x.im

   1. Initial program 52.8%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 98.3%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 1.7999999999999999e-193 < x.im < 2.2999999999999999e-182 or 2.4500000000000001e-163 < x.im < 1.52e-158 or 1.39999999999999999e-124 < x.im < 2.29999999999999993e-119 or 3.5000000000000002e-25 < x.im < 1.35000000000000005e-13

   1. Initial program 84.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 83.9%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 83.9%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 83.9%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 68.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 68.9%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 68.9%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 68.9%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 68.9%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 84.7%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 84.7%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 84.7%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 84.7%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 84.7%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 7.50000000000000046e-141 < x.im < 7.7999999999999994e-141 or 1.35000000000000005e-13 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 5.8000000000000001e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 83.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 83.2%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 83.2%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 83.7%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 83.7%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 83.7%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 7.4%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]

   if 4.10000000000000003e-72 < x.im < 4.2e-72 or 3.6999999999999999e117 < x.im < 3.8000000000000002e117 or 1.69999999999999992e276 < x.im < 1.25999999999999995e277

   1. Initial program 49.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 49.6%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 49.6%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 49.2%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 49.2%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 49.2%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 50.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 50.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.8%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around inf 8.0%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.re}} \]
   9. Step-by-step derivation

      1. associate-*r/ 8.0%

         \[\leadsto \color{blue}{\frac{-1 \cdot x.im}{y.re}} \]

      2. mul-1-neg 8.0%

         \[\leadsto \frac{\color{blue}{-x.im}}{y.re} \]

   10. Simplified 8.0%

       \[\leadsto \color{blue}{\frac{-x.im}{y.re}} \]
3. Recombined 7 regimes into one program.

4. Final simplification 68.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq -9.5 \cdot 10^{-255}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 10^{-271}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-265}:\\ \;\;\;\;\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-258}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.6 \cdot 10^{-254}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.3 \cdot 10^{-182}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 4.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.45 \cdot 10^{-163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.52 \cdot 10^{-158}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.4 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.3 \cdot 10^{-119}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 8.5 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.1 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.1 \cdot 10^{-96}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.12 \cdot 10^{-94}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-63}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{-59}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.4 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.95 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 9.2 \cdot 10^{+27}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.5 \cdot 10^{+34}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.6 \cdot 10^{+76}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.75 \cdot 10^{+134}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.4 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{+262}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.1 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{+299} \lor \neg \left(x.im \leq 2.6 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 71.9% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_1 := x.re \cdot \frac{y.re}{y.im}\\ t_2 := \frac{x.im + t\_1}{y.im}\\ t_3 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_4 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_5 := \frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ t_6 := \frac{t\_1}{y.im}\\ \mathbf{if}\;y.re \leq -7.2 \cdot 10^{-51}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq -4.7 \cdot 10^{-76}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq -6.2 \cdot 10^{-80}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -6 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -4.5 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-97}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 2.5 \cdot 10^{-263}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.55 \cdot 10^{-208}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 1.15 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{-82}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{-53}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{-37}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.8 \cdot 10^{-24}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 98000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 6 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 6.2 \cdot 10^{+36}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.22 \cdot 10^{+39}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.62 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.65 \cdot 10^{+100}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 5.8 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_1 (* x.re (/ y.re y.im)))
        (t_2 (/ (+ x.im t_1) y.im))
        (t_3 (* x.re (/ (/ y.re y.im) y.im)))
        (t_4 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_5 (/ (+ x.im (/ (* x.re y.re) y.im)) y.im))
        (t_6 (/ t_1 y.im)))
   (if (<= y.re -7.2e-51)
     t_4
     (if (<= y.re -4.7e-76)
       t_2
       (if (<= y.re -6.2e-80)
         (/ x.re y.re)
         (if (<= y.re -6e-81)
           (/ 1.0 (/ y.im (* y.re (/ x.re y.im))))
           (if (<= y.re -4.5e-81)
             (/ x.re y.re)
             (if (<= y.re -1.7e-97)
               (/ x.im y.im)
               (if (<= y.re -1.7e-102)
                 (/ (* x.im y.im) (+ (* y.re y.re) (* y.im y.im)))
                 (if (<= y.re -1.6e-105)
                   (/ (+ x.re (/ x.im (/ y.re y.im))) y.re)
                   (if (<= y.re -1.55e-170)
                     t_2
                     (if (<= y.re -1.5e-170)
                       (/ x.re y.re)
                       (if (<= y.re -7e-194)
                         t_2
                         (if (<= y.re -1.45e-198)
                           t_0
                           (if (<= y.re -2e-286)
                             t_2
                             (if (<= y.re 2.25e-263)
                               t_5
                               (if (<= y.re 2.5e-263)
                                 t_0
                                 (if (<= y.re 2.1e-262)
                                   t_3
                                   (if (<= y.re 1.3e-210)
                                     t_2
                                     (if (<= y.re 2.55e-208)
                                       (/ x.re y.re)
                                       (if (<= y.re 7e-207)
                                         t_3
                                         (if (<= y.re 4.1e-165)
                                           t_5
                                           (if (<= y.re 8.4e-150)
                                             t_4
                                             (if (<= y.re 8.5e-123)
                                               t_2
                                               (if (<= y.re 9e-123)
                                                 (/ x.re y.re)
                                                 (if (<= y.re 3.05e-102)
                                                   t_2
                                                   (if (<= y.re 1.15e-98)
                                                     (/ x.re y.re)
                                                     (if (<= y.re 2e-85)
                                                       (/ x.im y.im)
                                                       (if (<= y.re 5.5e-82)
                                                         (/ x.re y.re)
                                                         (if (<= y.re 2.2e-53)
                                                           t_6
                                                           (if (<=
                                                                y.re
                                                                1.25e-37)
                                                             (/ x.re y.re)
                                                             (if (<=
                                                                  y.re
                                                                  1.8e-24)
                                                               (/ x.im y.im)
                                                               (if (<=
                                                                    y.re
                                                                    98000000.0)
                                                                 (/ x.re y.re)
                                                                 (if (<=
                                                                      y.re
                                                                      6e+19)
                                                                   (/
                                                                    x.im
                                                                    y.im)
                                                                   (if (<=
                                                                        y.re
                                                                        6.2e+36)
                                                                     t_0
                                                                     (if (<=
                                                                          y.re
                                                                          1.22e+39)
                                                                       (/
                                                                        x.im
                                                                        y.im)
                                                                       (if (<=
                                                                            y.re
                                                                            1.2e+57)
                                                                         t_0
                                                                         (if (<=
                                                                              y.re
                                                                              1.25e+57)
                                                                           (/
                                                                            x.im
                                                                            y.im)
                                                                           (if (<=
                                                                                y.re
                                                                                1.6e+78)
                                                                             t_0
                                                                             (if (<=
                                                                                  y.re
                                                                                  1.62e+78)
                                                                               (/
                                                                                x.im
                                                                                y.im)
                                                                               (if (<=
                                                                                    y.re
                                                                                    1.65e+100)
                                                                                 t_4
                                                                                 (if (<=
                                                                                      y.re
                                                                                      5.8e+101)
                                                                                   (/
                                                                                    x.im
                                                                                    y.im)
                                                                                   (if (<=
                                                                                        y.re
                                                                                        3.5e+117)
                                                                                     (/
                                                                                      x.re
                                                                                      y.re)
                                                                                     (if (<=
                                                                                          y.re
                                                                                          3.6e+117)
                                                                                       t_6
                                                                                       (if (<=
                                                                                            y.re
                                                                                            2e+136)
                                                                                         t_0
                                                                                         (if (<=
                                                                                              y.re
                                                                                              2.02e+136)
                                                                                           t_6
                                                                                           (if (<=
                                                                                                y.re
                                                                                                2.1e+163)
                                                                                             (/
                                                                                              x.re
                                                                                              y.re)
                                                                                             (if (<=
                                                                                                  y.re
                                                                                                  2.15e+163)
                                                                                               (/
                                                                                                x.im
                                                                                                y.im)
                                                                                               (if (<=
                                                                                                    y.re
                                                                                                    2.7e+171)
                                                                                                 (/
                                                                                                  x.re
                                                                                                  y.re)
                                                                                                 (if (<=
                                                                                                      y.re
                                                                                                      2.8e+171)
                                                                                                   t_2
                                                                                                   (if (<=
                                                                                                        y.re
                                                                                                        2.2e+198)
                                                                                                     (/
                                                                                                      x.re
                                                                                                      y.re)
                                                                                                     (if (<=
                                                                                                          y.re
                                                                                                          2.3e+198)
                                                                                                       (/
                                                                                                        x.im
                                                                                                        y.im)
                                                                                                       (if (<=
                                                                                                            y.re
                                                                                                            2.9e+207)
                                                                                                         t_4
                                                                                                         (if (<=
                                                                                                              y.re
                                                                                                              3e+207)
                                                                                                           t_2
                                                                                                           (if (<=
                                                                                                                y.re
                                                                                                                2.35e+224)
                                                                                                             (/
                                                                                                              x.re
                                                                                                              y.re)
                                                                                                             (if (<=
                                                                                                                  y.re
                                                                                                                  2.4e+224)
                                                                                                               (/
                                                                                                                x.im
                                                                                                                y.im)
                                                                                                               t_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = x_46_re * (y_46_re / y_46_im);
	double t_2 = (x_46_im + t_1) / y_46_im;
	double t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_6 = t_1 / y_46_im;
	double tmp;
	if (y_46_re <= -7.2e-51) {
		tmp = t_4;
	} else if (y_46_re <= -4.7e-76) {
		tmp = t_2;
	} else if (y_46_re <= -6.2e-80) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -6e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -4.5e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -1.7e-97) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.7e-102) {
		tmp = (x_46_im * y_46_im) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
	} else if (y_46_re <= -1.6e-105) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_2;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_2;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_0;
	} else if (y_46_re <= -2e-286) {
		tmp = t_2;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_5;
	} else if (y_46_re <= 2.5e-263) {
		tmp = t_0;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_3;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_2;
	} else if (y_46_re <= 2.55e-208) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_3;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_5;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_4;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_2;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_2;
	} else if (y_46_re <= 1.15e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2e-85) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e-82) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.2e-53) {
		tmp = t_6;
	} else if (y_46_re <= 1.25e-37) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.8e-24) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 98000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 6e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 6.2e+36) {
		tmp = t_0;
	} else if (y_46_re <= 1.22e+39) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_0;
	} else if (y_46_re <= 1.62e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.65e+100) {
		tmp = t_4;
	} else if (y_46_re <= 5.8e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_6;
	} else if (y_46_re <= 2e+136) {
		tmp = t_0;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_6;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_2;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_4;
	} else if (y_46_re <= 3e+207) {
		tmp = t_2;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_0 = (x_46re + (x_46im * (y_46im / y_46re))) / y_46re
    t_1 = x_46re * (y_46re / y_46im)
    t_2 = (x_46im + t_1) / y_46im
    t_3 = x_46re * ((y_46re / y_46im) / y_46im)
    t_4 = (x_46re + (y_46im * (x_46im / y_46re))) / y_46re
    t_5 = (x_46im + ((x_46re * y_46re) / y_46im)) / y_46im
    t_6 = t_1 / y_46im
    if (y_46re <= (-7.2d-51)) then
        tmp = t_4
    else if (y_46re <= (-4.7d-76)) then
        tmp = t_2
    else if (y_46re <= (-6.2d-80)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-6d-81)) then
        tmp = 1.0d0 / (y_46im / (y_46re * (x_46re / y_46im)))
    else if (y_46re <= (-4.5d-81)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-1.7d-97)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-1.7d-102)) then
        tmp = (x_46im * y_46im) / ((y_46re * y_46re) + (y_46im * y_46im))
    else if (y_46re <= (-1.6d-105)) then
        tmp = (x_46re + (x_46im / (y_46re / y_46im))) / y_46re
    else if (y_46re <= (-1.55d-170)) then
        tmp = t_2
    else if (y_46re <= (-1.5d-170)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-7d-194)) then
        tmp = t_2
    else if (y_46re <= (-1.45d-198)) then
        tmp = t_0
    else if (y_46re <= (-2d-286)) then
        tmp = t_2
    else if (y_46re <= 2.25d-263) then
        tmp = t_5
    else if (y_46re <= 2.5d-263) then
        tmp = t_0
    else if (y_46re <= 2.1d-262) then
        tmp = t_3
    else if (y_46re <= 1.3d-210) then
        tmp = t_2
    else if (y_46re <= 2.55d-208) then
        tmp = x_46re / y_46re
    else if (y_46re <= 7d-207) then
        tmp = t_3
    else if (y_46re <= 4.1d-165) then
        tmp = t_5
    else if (y_46re <= 8.4d-150) then
        tmp = t_4
    else if (y_46re <= 8.5d-123) then
        tmp = t_2
    else if (y_46re <= 9d-123) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.05d-102) then
        tmp = t_2
    else if (y_46re <= 1.15d-98) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2d-85) then
        tmp = x_46im / y_46im
    else if (y_46re <= 5.5d-82) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.2d-53) then
        tmp = t_6
    else if (y_46re <= 1.25d-37) then
        tmp = x_46re / y_46re
    else if (y_46re <= 1.8d-24) then
        tmp = x_46im / y_46im
    else if (y_46re <= 98000000.0d0) then
        tmp = x_46re / y_46re
    else if (y_46re <= 6d+19) then
        tmp = x_46im / y_46im
    else if (y_46re <= 6.2d+36) then
        tmp = t_0
    else if (y_46re <= 1.22d+39) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.2d+57) then
        tmp = t_0
    else if (y_46re <= 1.25d+57) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.6d+78) then
        tmp = t_0
    else if (y_46re <= 1.62d+78) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.65d+100) then
        tmp = t_4
    else if (y_46re <= 5.8d+101) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.5d+117) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.6d+117) then
        tmp = t_6
    else if (y_46re <= 2d+136) then
        tmp = t_0
    else if (y_46re <= 2.02d+136) then
        tmp = t_6
    else if (y_46re <= 2.1d+163) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.15d+163) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.7d+171) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.8d+171) then
        tmp = t_2
    else if (y_46re <= 2.2d+198) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.3d+198) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.9d+207) then
        tmp = t_4
    else if (y_46re <= 3d+207) then
        tmp = t_2
    else if (y_46re <= 2.35d+224) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.4d+224) then
        tmp = x_46im / y_46im
    else
        tmp = t_0
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = x_46_re * (y_46_re / y_46_im);
	double t_2 = (x_46_im + t_1) / y_46_im;
	double t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_6 = t_1 / y_46_im;
	double tmp;
	if (y_46_re <= -7.2e-51) {
		tmp = t_4;
	} else if (y_46_re <= -4.7e-76) {
		tmp = t_2;
	} else if (y_46_re <= -6.2e-80) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -6e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -4.5e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -1.7e-97) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.7e-102) {
		tmp = (x_46_im * y_46_im) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
	} else if (y_46_re <= -1.6e-105) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_2;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_2;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_0;
	} else if (y_46_re <= -2e-286) {
		tmp = t_2;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_5;
	} else if (y_46_re <= 2.5e-263) {
		tmp = t_0;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_3;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_2;
	} else if (y_46_re <= 2.55e-208) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_3;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_5;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_4;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_2;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_2;
	} else if (y_46_re <= 1.15e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2e-85) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e-82) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.2e-53) {
		tmp = t_6;
	} else if (y_46_re <= 1.25e-37) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 1.8e-24) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 98000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 6e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 6.2e+36) {
		tmp = t_0;
	} else if (y_46_re <= 1.22e+39) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.6e+78) {
		tmp = t_0;
	} else if (y_46_re <= 1.62e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.65e+100) {
		tmp = t_4;
	} else if (y_46_re <= 5.8e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_6;
	} else if (y_46_re <= 2e+136) {
		tmp = t_0;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_6;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_2;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_4;
	} else if (y_46_re <= 3e+207) {
		tmp = t_2;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re
	t_1 = x_46_re * (y_46_re / y_46_im)
	t_2 = (x_46_im + t_1) / y_46_im
	t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re
	t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im
	t_6 = t_1 / y_46_im
	tmp = 0
	if y_46_re <= -7.2e-51:
		tmp = t_4
	elif y_46_re <= -4.7e-76:
		tmp = t_2
	elif y_46_re <= -6.2e-80:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -6e-81:
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)))
	elif y_46_re <= -4.5e-81:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -1.7e-97:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -1.7e-102:
		tmp = (x_46_im * y_46_im) / ((y_46_re * y_46_re) + (y_46_im * y_46_im))
	elif y_46_re <= -1.6e-105:
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re
	elif y_46_re <= -1.55e-170:
		tmp = t_2
	elif y_46_re <= -1.5e-170:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -7e-194:
		tmp = t_2
	elif y_46_re <= -1.45e-198:
		tmp = t_0
	elif y_46_re <= -2e-286:
		tmp = t_2
	elif y_46_re <= 2.25e-263:
		tmp = t_5
	elif y_46_re <= 2.5e-263:
		tmp = t_0
	elif y_46_re <= 2.1e-262:
		tmp = t_3
	elif y_46_re <= 1.3e-210:
		tmp = t_2
	elif y_46_re <= 2.55e-208:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 7e-207:
		tmp = t_3
	elif y_46_re <= 4.1e-165:
		tmp = t_5
	elif y_46_re <= 8.4e-150:
		tmp = t_4
	elif y_46_re <= 8.5e-123:
		tmp = t_2
	elif y_46_re <= 9e-123:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.05e-102:
		tmp = t_2
	elif y_46_re <= 1.15e-98:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2e-85:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 5.5e-82:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.2e-53:
		tmp = t_6
	elif y_46_re <= 1.25e-37:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 1.8e-24:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 98000000.0:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 6e+19:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 6.2e+36:
		tmp = t_0
	elif y_46_re <= 1.22e+39:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.2e+57:
		tmp = t_0
	elif y_46_re <= 1.25e+57:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.6e+78:
		tmp = t_0
	elif y_46_re <= 1.62e+78:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.65e+100:
		tmp = t_4
	elif y_46_re <= 5.8e+101:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.5e+117:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.6e+117:
		tmp = t_6
	elif y_46_re <= 2e+136:
		tmp = t_0
	elif y_46_re <= 2.02e+136:
		tmp = t_6
	elif y_46_re <= 2.1e+163:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.15e+163:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.7e+171:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.8e+171:
		tmp = t_2
	elif y_46_re <= 2.2e+198:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.3e+198:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.9e+207:
		tmp = t_4
	elif y_46_re <= 3e+207:
		tmp = t_2
	elif y_46_re <= 2.35e+224:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.4e+224:
		tmp = x_46_im / y_46_im
	else:
		tmp = t_0
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_1 = Float64(x_46_re * Float64(y_46_re / y_46_im))
	t_2 = Float64(Float64(x_46_im + t_1) / y_46_im)
	t_3 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_4 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_5 = Float64(Float64(x_46_im + Float64(Float64(x_46_re * y_46_re) / y_46_im)) / y_46_im)
	t_6 = Float64(t_1 / y_46_im)
	tmp = 0.0
	if (y_46_re <= -7.2e-51)
		tmp = t_4;
	elseif (y_46_re <= -4.7e-76)
		tmp = t_2;
	elseif (y_46_re <= -6.2e-80)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -6e-81)
		tmp = Float64(1.0 / Float64(y_46_im / Float64(y_46_re * Float64(x_46_re / y_46_im))));
	elseif (y_46_re <= -4.5e-81)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -1.7e-97)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -1.7e-102)
		tmp = Float64(Float64(x_46_im * y_46_im) / Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im)));
	elseif (y_46_re <= -1.6e-105)
		tmp = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re);
	elseif (y_46_re <= -1.55e-170)
		tmp = t_2;
	elseif (y_46_re <= -1.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -7e-194)
		tmp = t_2;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_0;
	elseif (y_46_re <= -2e-286)
		tmp = t_2;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_5;
	elseif (y_46_re <= 2.5e-263)
		tmp = t_0;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_3;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_2;
	elseif (y_46_re <= 2.55e-208)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 7e-207)
		tmp = t_3;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_5;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_4;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_2;
	elseif (y_46_re <= 9e-123)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.05e-102)
		tmp = t_2;
	elseif (y_46_re <= 1.15e-98)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2e-85)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 5.5e-82)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.2e-53)
		tmp = t_6;
	elseif (y_46_re <= 1.25e-37)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 1.8e-24)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 98000000.0)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 6e+19)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 6.2e+36)
		tmp = t_0;
	elseif (y_46_re <= 1.22e+39)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.2e+57)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+57)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.6e+78)
		tmp = t_0;
	elseif (y_46_re <= 1.62e+78)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.65e+100)
		tmp = t_4;
	elseif (y_46_re <= 5.8e+101)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.5e+117)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.6e+117)
		tmp = t_6;
	elseif (y_46_re <= 2e+136)
		tmp = t_0;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_6;
	elseif (y_46_re <= 2.1e+163)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.15e+163)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.7e+171)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.8e+171)
		tmp = t_2;
	elseif (y_46_re <= 2.2e+198)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.3e+198)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.9e+207)
		tmp = t_4;
	elseif (y_46_re <= 3e+207)
		tmp = t_2;
	elseif (y_46_re <= 2.35e+224)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.4e+224)
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = t_0;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	t_1 = x_46_re * (y_46_re / y_46_im);
	t_2 = (x_46_im + t_1) / y_46_im;
	t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_4 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	t_5 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	t_6 = t_1 / y_46_im;
	tmp = 0.0;
	if (y_46_re <= -7.2e-51)
		tmp = t_4;
	elseif (y_46_re <= -4.7e-76)
		tmp = t_2;
	elseif (y_46_re <= -6.2e-80)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -6e-81)
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	elseif (y_46_re <= -4.5e-81)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -1.7e-97)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -1.7e-102)
		tmp = (x_46_im * y_46_im) / ((y_46_re * y_46_re) + (y_46_im * y_46_im));
	elseif (y_46_re <= -1.6e-105)
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	elseif (y_46_re <= -1.55e-170)
		tmp = t_2;
	elseif (y_46_re <= -1.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -7e-194)
		tmp = t_2;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_0;
	elseif (y_46_re <= -2e-286)
		tmp = t_2;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_5;
	elseif (y_46_re <= 2.5e-263)
		tmp = t_0;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_3;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_2;
	elseif (y_46_re <= 2.55e-208)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 7e-207)
		tmp = t_3;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_5;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_4;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_2;
	elseif (y_46_re <= 9e-123)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.05e-102)
		tmp = t_2;
	elseif (y_46_re <= 1.15e-98)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2e-85)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 5.5e-82)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.2e-53)
		tmp = t_6;
	elseif (y_46_re <= 1.25e-37)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 1.8e-24)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 98000000.0)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 6e+19)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 6.2e+36)
		tmp = t_0;
	elseif (y_46_re <= 1.22e+39)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.2e+57)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+57)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.6e+78)
		tmp = t_0;
	elseif (y_46_re <= 1.62e+78)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.65e+100)
		tmp = t_4;
	elseif (y_46_re <= 5.8e+101)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.5e+117)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.6e+117)
		tmp = t_6;
	elseif (y_46_re <= 2e+136)
		tmp = t_0;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_6;
	elseif (y_46_re <= 2.1e+163)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.15e+163)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.7e+171)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.8e+171)
		tmp = t_2;
	elseif (y_46_re <= 2.2e+198)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.3e+198)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.9e+207)
		tmp = t_4;
	elseif (y_46_re <= 3e+207)
		tmp = t_2;
	elseif (y_46_re <= 2.35e+224)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.4e+224)
		tmp = x_46_im / y_46_im;
	else
		tmp = t_0;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$im + t$95$1), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$3 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x$46$im + N[(N[(x$46$re * y$46$re), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$6 = N[(t$95$1 / y$46$im), $MachinePrecision]}, If[LessEqual[y$46$re, -7.2e-51], t$95$4, If[LessEqual[y$46$re, -4.7e-76], t$95$2, If[LessEqual[y$46$re, -6.2e-80], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -6e-81], N[(1.0 / N[(y$46$im / N[(y$46$re * N[(x$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$re, -4.5e-81], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -1.7e-97], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -1.7e-102], N[(N[(x$46$im * y$46$im), $MachinePrecision] / N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$re, -1.6e-105], N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -1.55e-170], t$95$2, If[LessEqual[y$46$re, -1.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -7e-194], t$95$2, If[LessEqual[y$46$re, -1.45e-198], t$95$0, If[LessEqual[y$46$re, -2e-286], t$95$2, If[LessEqual[y$46$re, 2.25e-263], t$95$5, If[LessEqual[y$46$re, 2.5e-263], t$95$0, If[LessEqual[y$46$re, 2.1e-262], t$95$3, If[LessEqual[y$46$re, 1.3e-210], t$95$2, If[LessEqual[y$46$re, 2.55e-208], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 7e-207], t$95$3, If[LessEqual[y$46$re, 4.1e-165], t$95$5, If[LessEqual[y$46$re, 8.4e-150], t$95$4, If[LessEqual[y$46$re, 8.5e-123], t$95$2, If[LessEqual[y$46$re, 9e-123], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.05e-102], t$95$2, If[LessEqual[y$46$re, 1.15e-98], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2e-85], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 5.5e-82], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.2e-53], t$95$6, If[LessEqual[y$46$re, 1.25e-37], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 1.8e-24], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 98000000.0], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 6e+19], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 6.2e+36], t$95$0, If[LessEqual[y$46$re, 1.22e+39], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.2e+57], t$95$0, If[LessEqual[y$46$re, 1.25e+57], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.6e+78], t$95$0, If[LessEqual[y$46$re, 1.62e+78], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.65e+100], t$95$4, If[LessEqual[y$46$re, 5.8e+101], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.5e+117], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.6e+117], t$95$6, If[LessEqual[y$46$re, 2e+136], t$95$0, If[LessEqual[y$46$re, 2.02e+136], t$95$6, If[LessEqual[y$46$re, 2.1e+163], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.15e+163], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.7e+171], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.8e+171], t$95$2, If[LessEqual[y$46$re, 2.2e+198], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.3e+198], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.9e+207], t$95$4, If[LessEqual[y$46$re, 3e+207], t$95$2, If[LessEqual[y$46$re, 2.35e+224], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.4e+224], N[(x$46$im / y$46$im), $MachinePrecision], t$95$0]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y.re < -7.2000000000000001e-51 or 4.1000000000000002e-165 < y.re < 8.4000000000000004e-150 or 1.6199999999999999e78 < y.re < 1.6500000000000001e100 or 2.3000000000000001e198 < y.re < 2.89999999999999997e207

   1. Initial program 54.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 82.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 84.5%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 84.5%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 84.5%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 84.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 84.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 85.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 85.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -7.2000000000000001e-51 < y.re < -4.7000000000000002e-76 or -1.59999999999999991e-105 < y.re < -1.54999999999999993e-170 or -1.50000000000000007e-170 < y.re < -7.0000000000000006e-194 or -1.45e-198 < y.re < -2.0000000000000001e-286 or 2.1e-262 < y.re < 1.2999999999999999e-210 or 8.4000000000000004e-150 < y.re < 8.4999999999999995e-123 or 8.99999999999999986e-123 < y.re < 3.0499999999999999e-102 or 2.6999999999999998e171 < y.re < 2.80000000000000004e171 or 2.89999999999999997e207 < y.re < 2.99999999999999983e207

   1. Initial program 65.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.5%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -4.7000000000000002e-76 < y.re < -6.20000000000000032e-80 or -5.9999999999999998e-81 < y.re < -4.5e-81 or -1.54999999999999993e-170 < y.re < -1.50000000000000007e-170 or 1.2999999999999999e-210 < y.re < 2.55e-208 or 8.4999999999999995e-123 < y.re < 8.99999999999999986e-123 or 3.0499999999999999e-102 < y.re < 1.15e-98 or 2e-85 < y.re < 5.4999999999999998e-82 or 2.20000000000000018e-53 < y.re < 1.2499999999999999e-37 or 1.8e-24 < y.re < 9.8e7 or 5.79999999999999974e101 < y.re < 3.49999999999999983e117 or 2.02000000000000002e136 < y.re < 2.1e163 or 2.1500000000000001e163 < y.re < 2.6999999999999998e171 or 2.80000000000000004e171 < y.re < 2.2e198 or 2.99999999999999983e207 < y.re < 2.3500000000000001e224

   1. Initial program 73.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -6.20000000000000032e-80 < y.re < -5.9999999999999998e-81

   1. Initial program 98.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   10. Taylor expanded in x.re around inf 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{\frac{x.re \cdot y.re}{y.im}}}} \]
   11. Step-by-step derivation

       1. *-commutative 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\frac{\color{blue}{y.re \cdot x.re}}{y.im}}} \]

       2. associate-/l* 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   12. Simplified 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   if -4.5e-81 < y.re < -1.6999999999999999e-97 or 1.15e-98 < y.re < 2e-85 or 1.2499999999999999e-37 < y.re < 1.8e-24 or 9.8e7 < y.re < 6e19 or 6.1999999999999999e36 < y.re < 1.22e39 or 1.20000000000000002e57 < y.re < 1.24999999999999993e57 or 1.59999999999999997e78 < y.re < 1.6199999999999999e78 or 1.6500000000000001e100 < y.re < 5.79999999999999974e101 or 2.1e163 < y.re < 2.1500000000000001e163 or 2.2e198 < y.re < 2.3000000000000001e198 or 2.3500000000000001e224 < y.re < 2.40000000000000001e224

   1. Initial program 37.7%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -1.6999999999999999e-97 < y.re < -1.70000000000000006e-102

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around 0 100.0%

      \[\leadsto \frac{\color{blue}{x.im \cdot y.im}}{y.re \cdot y.re + y.im \cdot y.im} \]

   if -1.70000000000000006e-102 < y.re < -1.59999999999999991e-105

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 99.2%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 100.0%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   if -7.0000000000000006e-194 < y.re < -1.45e-198 or 2.2499999999999999e-263 < y.re < 2.50000000000000003e-263 or 6e19 < y.re < 6.1999999999999999e36 or 1.22e39 < y.re < 1.20000000000000002e57 or 1.24999999999999993e57 < y.re < 1.59999999999999997e78 or 3.60000000000000013e117 < y.re < 2.00000000000000012e136 or 2.40000000000000001e224 < y.re

   1. Initial program 55.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 92.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -2.0000000000000001e-286 < y.re < 2.2499999999999999e-263 or 7.0000000000000003e-207 < y.re < 4.1000000000000002e-165

   1. Initial program 91.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]

   if 2.50000000000000003e-263 < y.re < 2.1e-262 or 2.55e-208 < y.re < 7.0000000000000003e-207

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 99.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 100.0%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 5.4999999999999998e-82 < y.re < 2.20000000000000018e-53 or 3.49999999999999983e117 < y.re < 3.60000000000000013e117 or 2.00000000000000012e136 < y.re < 2.02000000000000002e136

   1. Initial program 50.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 51.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 50.9%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 77.2%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 77.2%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 77.2%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 77.2%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 76.5%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 76.5%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 76.5%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 76.5%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 76.5%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 99.6%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 99.6%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]
3. Recombined 11 regimes into one program.

4. Final simplification 94.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y.re \leq -7.2 \cdot 10^{-51}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -4.7 \cdot 10^{-76}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -6.2 \cdot 10^{-80}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -6 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -4.5 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-97}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-286}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.5 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.55 \cdot 10^{-208}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.15 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{-82}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{-53}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{-37}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 1.8 \cdot 10^{-24}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 98000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 6 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 6.2 \cdot 10^{+36}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.22 \cdot 10^{+39}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.6 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.62 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.65 \cdot 10^{+100}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 5.8 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 43.3% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_1 := \frac{-x.im}{y.re}\\ t_2 := \frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{if}\;x.im \leq -4.1 \cdot 10^{-255}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.9 \cdot 10^{-265}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{-257}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.1 \cdot 10^{-254}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.85 \cdot 10^{-193}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 3 \cdot 10^{-172}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.3 \cdot 10^{-166}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-158}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.5 \cdot 10^{-120}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 8.6 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6.6 \cdot 10^{-106}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.5 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 8.2 \cdot 10^{-63}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.4 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.95 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-46}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.3 \cdot 10^{+35}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+132}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.4 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+263}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;\neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 1.2 \cdot 10^{+300}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (* x.re (/ (/ y.re y.im) y.im)))
        (t_1 (/ (- x.im) y.re))
        (t_2 (/ (* x.re (/ y.re y.im)) y.im)))
   (if (<= x.im -4.1e-255)
     (/ x.re y.re)
     (if (<= x.im 1.9e-265)
       t_2
       (if (<= x.im 1.7e-257)
         (/ x.re y.re)
         (if (<= x.im 1.1e-254)
           t_2
           (if (<= x.im 9.4e-247)
             (/ x.re y.re)
             (if (<= x.im 8.8e-243)
               (/ x.im y.im)
               (if (<= x.im 1.8e-193)
                 (/ x.re y.re)
                 (if (<= x.im 1.85e-193)
                   t_0
                   (if (<= x.im 3e-172)
                     (/ x.re y.re)
                     (if (<= x.im 3.3e-166)
                       (/ x.im y.im)
                       (if (<= x.im 1.4e-158)
                         t_0
                         (if (<= x.im 7.5e-141)
                           (/ x.re y.re)
                           (if (<= x.im 7.8e-141)
                             (/ x.im y.re)
                             (if (<= x.im 2.7e-131)
                               (/ x.re y.re)
                               (if (<= x.im 3e-131)
                                 (/ x.im y.im)
                                 (if (<= x.im 1.45e-124)
                                   (/ x.re y.re)
                                   (if (<= x.im 5.5e-120)
                                     t_0
                                     (if (<= x.im 8.6e-114)
                                       (/ x.im y.im)
                                       (if (<= x.im 6.6e-106)
                                         (/ x.re y.re)
                                         (if (<= x.im 6.5e-102)
                                           (/ x.im y.im)
                                           (if (<= x.im 2.7e-95)
                                             (/ x.re y.re)
                                             (if (<= x.im 4.8e-95)
                                               (/ x.im y.im)
                                               (if (<= x.im 2e-85)
                                                 (/ x.re y.re)
                                                 (if (<= x.im 4.1e-72)
                                                   (/ x.im y.im)
                                                   (if (<= x.im 4.2e-72)
                                                     t_1
                                                     (if (<= x.im 8.2e-63)
                                                       (/ x.re y.re)
                                                       (if (<= x.im 1.35e-61)
                                                         (/ x.im y.im)
                                                         (if (<= x.im 5.4e-56)
                                                           (/ x.re y.re)
                                                           (if (<=
                                                                x.im
                                                                1.95e-46)
                                                             (/ x.im y.im)
                                                             (if (<=
                                                                  x.im
                                                                  2e-46)
                                                               t_2
                                                               (if (<=
                                                                    x.im
                                                                    3.4e-25)
                                                                 (/ x.im y.im)
                                                                 (if (<=
                                                                      x.im
                                                                      1.35e-13)
                                                                   t_0
                                                                   (if (<=
                                                                        x.im
                                                                        1.4e-13)
                                                                     (/
                                                                      x.im
                                                                      y.re)
                                                                     (if (<=
                                                                          x.im
                                                                          5e+25)
                                                                       (/
                                                                        x.re
                                                                        y.re)
                                                                       (if (<=
                                                                            x.im
                                                                            3.3e+35)
                                                                         (/
                                                                          x.im
                                                                          y.im)
                                                                         (if (<=
                                                                              x.im
                                                                              9e+46)
                                                                           (/
                                                                            x.re
                                                                            y.re)
                                                                           (if (<=
                                                                                x.im
                                                                                9.5e+46)
                                                                             (/
                                                                              x.im
                                                                              y.re)
                                                                             (if (<=
                                                                                  x.im
                                                                                  3.8e+78)
                                                                               (/
                                                                                x.re
                                                                                y.re)
                                                                               (if (<=
                                                                                    x.im
                                                                                    3.7e+117)
                                                                                 (/
                                                                                  x.im
                                                                                  y.im)
                                                                                 (if (<=
                                                                                      x.im
                                                                                      3.8e+117)
                                                                                   t_1
                                                                                   (if (<=
                                                                                        x.im
                                                                                        3.2e+132)
                                                                                     (/
                                                                                      x.re
                                                                                      y.re)
                                                                                     (if (<=
                                                                                          x.im
                                                                                          6.4e+136)
                                                                                       (/
                                                                                        x.im
                                                                                        y.im)
                                                                                       (if (<=
                                                                                            x.im
                                                                                            3.8e+170)
                                                                                         (/
                                                                                          x.re
                                                                                          y.re)
                                                                                         (if (<=
                                                                                              x.im
                                                                                              6e+170)
                                                                                           (/
                                                                                            x.im
                                                                                            y.re)
                                                                                           (if (<=
                                                                                                x.im
                                                                                                3.2e+185)
                                                                                             (/
                                                                                              x.re
                                                                                              y.re)
                                                                                             (if (<=
                                                                                                  x.im
                                                                                                  5.8e+188)
                                                                                               (/
                                                                                                x.im
                                                                                                y.im)
                                                                                               (if (<=
                                                                                                    x.im
                                                                                                    6e+188)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.re)
                                                                                                 (if (<=
                                                                                                      x.im
                                                                                                      1.35e+244)
                                                                                                   (/
                                                                                                    x.im
                                                                                                    y.im)
                                                                                                   (if (<=
                                                                                                        x.im
                                                                                                        1.4e+244)
                                                                                                     (/
                                                                                                      x.im
                                                                                                      y.re)
                                                                                                     (if (<=
                                                                                                          x.im
                                                                                                          1.4e+263)
                                                                                                       (/
                                                                                                        x.im
                                                                                                        y.im)
                                                                                                       (if (<=
                                                                                                            x.im
                                                                                                            2.6e+271)
                                                                                                         (/
                                                                                                          x.re
                                                                                                          y.re)
                                                                                                         (if (<=
                                                                                                              x.im
                                                                                                              1.7e+276)
                                                                                                           (/
                                                                                                            x.im
                                                                                                            y.im)
                                                                                                           (if (<=
                                                                                                                x.im
                                                                                                                1.26e+277)
                                                                                                             t_1
                                                                                                             (if (and (not
                                                                                                                       (<=
                                                                                                                        x.im
                                                                                                                        2e+299))
                                                                                                                      (<=
                                                                                                                       x.im
                                                                                                                       1.2e+300))
                                                                                                               (/
                                                                                                                x.re
                                                                                                                y.re)
                                                                                                               (/
                                                                                                                x.im
                                                                                                                y.im)))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_1 = -x_46_im / y_46_re;
	double t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im;
	double tmp;
	if (x_46_im <= -4.1e-255) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.9e-265) {
		tmp = t_2;
	} else if (x_46_im <= 1.7e-257) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.1e-254) {
		tmp = t_2;
	} else if (x_46_im <= 9.4e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.8e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.8e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.85e-193) {
		tmp = t_0;
	} else if (x_46_im <= 3e-172) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.3e-166) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-158) {
		tmp = t_0;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.7e-131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3e-131) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.5e-120) {
		tmp = t_0;
	} else if (x_46_im <= 8.6e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6.6e-106) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.5e-102) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.7e-95) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.8e-95) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2e-85) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_1;
	} else if (x_46_im <= 8.2e-63) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.35e-61) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.4e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.95e-46) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2e-46) {
		tmp = t_2;
	} else if (x_46_im <= 3.4e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_0;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 5e+25) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.3e+35) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.8e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_1;
	} else if (x_46_im <= 3.2e+132) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.4e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.2e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.4e+263) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.6e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_1;
	} else if (!(x_46_im <= 2e+299) && (x_46_im <= 1.2e+300)) {
		tmp = x_46_re / y_46_re;
	} else {
		tmp = x_46_im / y_46_im;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_0 = x_46re * ((y_46re / y_46im) / y_46im)
    t_1 = -x_46im / y_46re
    t_2 = (x_46re * (y_46re / y_46im)) / y_46im
    if (x_46im <= (-4.1d-255)) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.9d-265) then
        tmp = t_2
    else if (x_46im <= 1.7d-257) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.1d-254) then
        tmp = t_2
    else if (x_46im <= 9.4d-247) then
        tmp = x_46re / y_46re
    else if (x_46im <= 8.8d-243) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.8d-193) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.85d-193) then
        tmp = t_0
    else if (x_46im <= 3d-172) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.3d-166) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d-158) then
        tmp = t_0
    else if (x_46im <= 7.5d-141) then
        tmp = x_46re / y_46re
    else if (x_46im <= 7.8d-141) then
        tmp = x_46im / y_46re
    else if (x_46im <= 2.7d-131) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3d-131) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.45d-124) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.5d-120) then
        tmp = t_0
    else if (x_46im <= 8.6d-114) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6.6d-106) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.5d-102) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2.7d-95) then
        tmp = x_46re / y_46re
    else if (x_46im <= 4.8d-95) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2d-85) then
        tmp = x_46re / y_46re
    else if (x_46im <= 4.1d-72) then
        tmp = x_46im / y_46im
    else if (x_46im <= 4.2d-72) then
        tmp = t_1
    else if (x_46im <= 8.2d-63) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.35d-61) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.4d-56) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.95d-46) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2d-46) then
        tmp = t_2
    else if (x_46im <= 3.4d-25) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.35d-13) then
        tmp = t_0
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 5d+25) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.3d+35) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 3.8d+78) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.7d+117) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.8d+117) then
        tmp = t_1
    else if (x_46im <= 3.2d+132) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.4d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 3.2d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.4d+263) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2.6d+271) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d+276) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.26d+277) then
        tmp = t_1
    else if ((.not. (x_46im <= 2d+299)) .and. (x_46im <= 1.2d+300)) then
        tmp = x_46re / y_46re
    else
        tmp = x_46im / y_46im
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_1 = -x_46_im / y_46_re;
	double t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im;
	double tmp;
	if (x_46_im <= -4.1e-255) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.9e-265) {
		tmp = t_2;
	} else if (x_46_im <= 1.7e-257) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.1e-254) {
		tmp = t_2;
	} else if (x_46_im <= 9.4e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.8e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.8e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.85e-193) {
		tmp = t_0;
	} else if (x_46_im <= 3e-172) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.3e-166) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-158) {
		tmp = t_0;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.7e-131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3e-131) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.5e-120) {
		tmp = t_0;
	} else if (x_46_im <= 8.6e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6.6e-106) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.5e-102) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.7e-95) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.8e-95) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2e-85) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_1;
	} else if (x_46_im <= 8.2e-63) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.35e-61) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.4e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.95e-46) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2e-46) {
		tmp = t_2;
	} else if (x_46_im <= 3.4e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_0;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 5e+25) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.3e+35) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.8e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_1;
	} else if (x_46_im <= 3.2e+132) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.4e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.2e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.4e+263) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.6e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_1;
	} else if (!(x_46_im <= 2e+299) && (x_46_im <= 1.2e+300)) {
		tmp = x_46_re / y_46_re;
	} else {
		tmp = x_46_im / y_46_im;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_1 = -x_46_im / y_46_re
	t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im
	tmp = 0
	if x_46_im <= -4.1e-255:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.9e-265:
		tmp = t_2
	elif x_46_im <= 1.7e-257:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.1e-254:
		tmp = t_2
	elif x_46_im <= 9.4e-247:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 8.8e-243:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.8e-193:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.85e-193:
		tmp = t_0
	elif x_46_im <= 3e-172:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.3e-166:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e-158:
		tmp = t_0
	elif x_46_im <= 7.5e-141:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 7.8e-141:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 2.7e-131:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3e-131:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.45e-124:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.5e-120:
		tmp = t_0
	elif x_46_im <= 8.6e-114:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6.6e-106:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.5e-102:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2.7e-95:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 4.8e-95:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2e-85:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 4.1e-72:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 4.2e-72:
		tmp = t_1
	elif x_46_im <= 8.2e-63:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.35e-61:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.4e-56:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.95e-46:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2e-46:
		tmp = t_2
	elif x_46_im <= 3.4e-25:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.35e-13:
		tmp = t_0
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 5e+25:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.3e+35:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 3.8e+78:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.7e+117:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.8e+117:
		tmp = t_1
	elif x_46_im <= 3.2e+132:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.4e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 3.2e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.4e+263:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2.6e+271:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e+276:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.26e+277:
		tmp = t_1
	elif not (x_46_im <= 2e+299) and (x_46_im <= 1.2e+300):
		tmp = x_46_re / y_46_re
	else:
		tmp = x_46_im / y_46_im
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_1 = Float64(Float64(-x_46_im) / y_46_re)
	t_2 = Float64(Float64(x_46_re * Float64(y_46_re / y_46_im)) / y_46_im)
	tmp = 0.0
	if (x_46_im <= -4.1e-255)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.9e-265)
		tmp = t_2;
	elseif (x_46_im <= 1.7e-257)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.1e-254)
		tmp = t_2;
	elseif (x_46_im <= 9.4e-247)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 8.8e-243)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.8e-193)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.85e-193)
		tmp = t_0;
	elseif (x_46_im <= 3e-172)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.3e-166)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e-158)
		tmp = t_0;
	elseif (x_46_im <= 7.5e-141)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 7.8e-141)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 2.7e-131)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3e-131)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.45e-124)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.5e-120)
		tmp = t_0;
	elseif (x_46_im <= 8.6e-114)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6.6e-106)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.5e-102)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2.7e-95)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 4.8e-95)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2e-85)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 4.1e-72)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 4.2e-72)
		tmp = t_1;
	elseif (x_46_im <= 8.2e-63)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.35e-61)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.4e-56)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.95e-46)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2e-46)
		tmp = t_2;
	elseif (x_46_im <= 3.4e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.35e-13)
		tmp = t_0;
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 5e+25)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.3e+35)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 3.8e+78)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.7e+117)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.8e+117)
		tmp = t_1;
	elseif (x_46_im <= 3.2e+132)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.4e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 3.2e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.4e+263)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2.6e+271)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e+276)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.26e+277)
		tmp = t_1;
	elseif (!(x_46_im <= 2e+299) && (x_46_im <= 1.2e+300))
		tmp = Float64(x_46_re / y_46_re);
	else
		tmp = Float64(x_46_im / y_46_im);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_1 = -x_46_im / y_46_re;
	t_2 = (x_46_re * (y_46_re / y_46_im)) / y_46_im;
	tmp = 0.0;
	if (x_46_im <= -4.1e-255)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.9e-265)
		tmp = t_2;
	elseif (x_46_im <= 1.7e-257)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.1e-254)
		tmp = t_2;
	elseif (x_46_im <= 9.4e-247)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 8.8e-243)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.8e-193)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.85e-193)
		tmp = t_0;
	elseif (x_46_im <= 3e-172)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.3e-166)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e-158)
		tmp = t_0;
	elseif (x_46_im <= 7.5e-141)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 7.8e-141)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 2.7e-131)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3e-131)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.45e-124)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.5e-120)
		tmp = t_0;
	elseif (x_46_im <= 8.6e-114)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6.6e-106)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.5e-102)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2.7e-95)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 4.8e-95)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2e-85)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 4.1e-72)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 4.2e-72)
		tmp = t_1;
	elseif (x_46_im <= 8.2e-63)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.35e-61)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.4e-56)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.95e-46)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2e-46)
		tmp = t_2;
	elseif (x_46_im <= 3.4e-25)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.35e-13)
		tmp = t_0;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 5e+25)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.3e+35)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 3.8e+78)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.7e+117)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.8e+117)
		tmp = t_1;
	elseif (x_46_im <= 3.2e+132)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.4e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 3.2e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.4e+263)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2.6e+271)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e+276)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.26e+277)
		tmp = t_1;
	elseif (~((x_46_im <= 2e+299)) && (x_46_im <= 1.2e+300))
		tmp = x_46_re / y_46_re;
	else
		tmp = x_46_im / y_46_im;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[((-x$46$im) / y$46$re), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, If[LessEqual[x$46$im, -4.1e-255], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.9e-265], t$95$2, If[LessEqual[x$46$im, 1.7e-257], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.1e-254], t$95$2, If[LessEqual[x$46$im, 9.4e-247], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 8.8e-243], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.8e-193], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.85e-193], t$95$0, If[LessEqual[x$46$im, 3e-172], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.3e-166], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-158], t$95$0, If[LessEqual[x$46$im, 7.5e-141], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 7.8e-141], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.7e-131], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3e-131], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.45e-124], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.5e-120], t$95$0, If[LessEqual[x$46$im, 8.6e-114], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6.6e-106], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.5e-102], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2.7e-95], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.8e-95], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2e-85], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.1e-72], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 4.2e-72], t$95$1, If[LessEqual[x$46$im, 8.2e-63], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e-61], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.4e-56], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.95e-46], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2e-46], t$95$2, If[LessEqual[x$46$im, 3.4e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.35e-13], t$95$0, If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5e+25], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.3e+35], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+78], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.7e+117], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+117], t$95$1, If[LessEqual[x$46$im, 3.2e+132], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.4e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.2e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+263], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2.6e+271], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+276], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.26e+277], t$95$1, If[And[N[Not[LessEqual[x$46$im, 2e+299]], $MachinePrecision], LessEqual[x$46$im, 1.2e+300]], N[(x$46$re / y$46$re), $MachinePrecision], N[(x$46$im / y$46$im), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if x.im < -4.1e-255 or 1.8999999999999999e-265 < x.im < 1.6999999999999999e-257 or 1.1000000000000001e-254 < x.im < 9.3999999999999996e-247 or 8.7999999999999996e-243 < x.im < 1.7999999999999999e-193 or 1.8500000000000001e-193 < x.im < 2.99999999999999984e-172 or 1.40000000000000001e-158 < x.im < 7.50000000000000046e-141 or 7.7999999999999994e-141 < x.im < 2.70000000000000021e-131 or 2.99999999999999996e-131 < x.im < 1.4500000000000001e-124 or 8.6000000000000001e-114 < x.im < 6.60000000000000031e-106 or 6.5000000000000003e-102 < x.im < 2.7e-95 or 4.8e-95 < x.im < 2e-85 or 4.2e-72 < x.im < 8.1999999999999995e-63 or 1.34999999999999997e-61 < x.im < 5.3999999999999999e-56 or 1.4000000000000001e-13 < x.im < 5.00000000000000024e25 or 3.3000000000000002e35 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 3.7999999999999999e78 or 3.8000000000000002e117 < x.im < 3.1999999999999997e132 or 6.39999999999999976e136 < x.im < 3.7999999999999998e170 or 5.99999999999999994e170 < x.im < 3.20000000000000006e185 or 1.3999999999999999e263 < x.im < 2.5999999999999998e271 or 2.0000000000000001e299 < x.im < 1.2000000000000001e300

   1. Initial program 59.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 64.5%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -4.1e-255 < x.im < 1.8999999999999999e-265 or 1.6999999999999999e-257 < x.im < 1.1000000000000001e-254 or 1.9500000000000001e-46 < x.im < 2.00000000000000005e-46

   1. Initial program 85.7%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 71.6%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 75.0%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 75.0%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 68.3%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 68.5%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 68.5%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 68.5%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 68.5%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 68.5%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 68.5%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 68.5%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 68.5%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 68.5%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 75.0%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 75.0%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   if 9.3999999999999996e-247 < x.im < 8.7999999999999996e-243 or 2.99999999999999984e-172 < x.im < 3.30000000000000018e-166 or 2.70000000000000021e-131 < x.im < 2.99999999999999996e-131 or 5.5000000000000001e-120 < x.im < 8.6000000000000001e-114 or 6.60000000000000031e-106 < x.im < 6.5000000000000003e-102 or 2.7e-95 < x.im < 4.8e-95 or 2e-85 < x.im < 4.10000000000000003e-72 or 8.1999999999999995e-63 < x.im < 1.34999999999999997e-61 or 5.3999999999999999e-56 < x.im < 1.9500000000000001e-46 or 2.00000000000000005e-46 < x.im < 3.40000000000000002e-25 or 5.00000000000000024e25 < x.im < 3.3000000000000002e35 or 3.7999999999999999e78 < x.im < 3.6999999999999999e117 or 3.1999999999999997e132 < x.im < 6.39999999999999976e136 or 3.20000000000000006e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 1.3999999999999999e263 or 2.5999999999999998e271 < x.im < 1.69999999999999992e276 or 1.25999999999999995e277 < x.im < 2.0000000000000001e299 or 1.2000000000000001e300 < x.im

   1. Initial program 52.8%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 98.3%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 1.7999999999999999e-193 < x.im < 1.8500000000000001e-193 or 3.30000000000000018e-166 < x.im < 1.40000000000000001e-158 or 1.4500000000000001e-124 < x.im < 5.5000000000000001e-120 or 3.40000000000000002e-25 < x.im < 1.35000000000000005e-13

   1. Initial program 84.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 83.9%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 83.9%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 83.9%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 68.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 68.9%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 68.9%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 68.9%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 68.9%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 84.7%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 84.7%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 84.7%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 84.7%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 84.7%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 7.50000000000000046e-141 < x.im < 7.7999999999999994e-141 or 1.35000000000000005e-13 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 3.7999999999999998e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 83.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 83.2%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 83.2%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 83.7%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 83.7%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 83.7%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 7.4%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]

   if 4.10000000000000003e-72 < x.im < 4.2e-72 or 3.6999999999999999e117 < x.im < 3.8000000000000002e117 or 1.69999999999999992e276 < x.im < 1.25999999999999995e277

   1. Initial program 49.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 49.6%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 49.6%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 49.2%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 49.2%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 49.2%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 50.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 50.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.8%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around inf 8.0%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.re}} \]
   9. Step-by-step derivation

      1. associate-*r/ 8.0%

         \[\leadsto \color{blue}{\frac{-1 \cdot x.im}{y.re}} \]

      2. mul-1-neg 8.0%

         \[\leadsto \frac{\color{blue}{-x.im}}{y.re} \]

   10. Simplified 8.0%

       \[\leadsto \color{blue}{\frac{-x.im}{y.re}} \]
3. Recombined 6 regimes into one program.

4. Final simplification 68.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq -4.1 \cdot 10^{-255}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.9 \cdot 10^{-265}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{-257}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.1 \cdot 10^{-254}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.85 \cdot 10^{-193}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 3 \cdot 10^{-172}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.3 \cdot 10^{-166}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-158}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.5 \cdot 10^{-120}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 8.6 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6.6 \cdot 10^{-106}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.5 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 8.2 \cdot 10^{-63}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.4 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.95 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.3 \cdot 10^{+35}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+132}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.4 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+263}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;\neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 1.2 \cdot 10^{+300}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 42.9% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{-x.im}{y.re}\\ t_1 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{if}\;x.im \leq -4.7 \cdot 10^{-255}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.9 \cdot 10^{-264}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 2.05 \cdot 10^{-257}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{-252}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.55 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.85 \cdot 10^{-193}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-158}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.62 \cdot 10^{-130}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.1 \cdot 10^{-120}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.1 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{-86}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.6 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.8 \cdot 10^{-46}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{+27}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+36}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.5 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 3.25 \cdot 10^{+131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.4 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{+263}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.9 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 8.4 \cdot 10^{+294} \lor \neg \left(x.im \leq 5.5 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (- x.im) y.re)) (t_1 (* x.re (/ (/ y.re y.im) y.im))))
   (if (<= x.im -4.7e-255)
     (/ x.re y.re)
     (if (<= x.im 3.9e-264)
       t_1
       (if (<= x.im 2.05e-257)
         (/ x.re y.re)
         (if (<= x.im 3.2e-252)
           t_1
           (if (<= x.im 9.4e-247)
             (/ x.re y.re)
             (if (<= x.im 8.8e-243)
               (/ x.im y.im)
               (if (<= x.im 1.55e-193)
                 (/ x.re y.re)
                 (if (<= x.im 1.85e-193)
                   t_1
                   (if (<= x.im 3.8e-170)
                     (/ x.re y.re)
                     (if (<= x.im 3.4e-165)
                       (/ x.im y.im)
                       (if (<= x.im 1.45e-158)
                         t_1
                         (if (<= x.im 7.5e-141)
                           (/ x.re y.re)
                           (if (<= x.im 7.8e-141)
                             (/ x.im y.re)
                             (if (<= x.im 2.7e-131)
                               (/ x.re y.re)
                               (if (<= x.im 1.62e-130)
                                 (/ x.im y.im)
                                 (if (<= x.im 1.45e-124)
                                   (/ x.re y.re)
                                   (if (<= x.im 2.1e-120)
                                     t_1
                                     (if (<= x.im 9.4e-114)
                                       (/ x.im y.im)
                                       (if (<= x.im 5e-102)
                                         (/ x.re y.re)
                                         (if (<= x.im 5.1e-102)
                                           (/ x.im y.im)
                                           (if (<= x.im 2.7e-95)
                                             (/ x.re y.re)
                                             (if (<= x.im 8e-95)
                                               (/ x.im y.im)
                                               (if (<= x.im 9.5e-86)
                                                 (/ x.re y.re)
                                                 (if (<= x.im 4.1e-72)
                                                   (/ x.im y.im)
                                                   (if (<= x.im 4.2e-72)
                                                     t_0
                                                     (if (<= x.im 1.2e-61)
                                                       (/ x.re y.re)
                                                       (if (<= x.im 1.45e-61)
                                                         (/ x.im y.im)
                                                         (if (<= x.im 5e-56)
                                                           (/ x.re y.re)
                                                           (if (<=
                                                                x.im
                                                                1.6e-46)
                                                             (/ x.im y.im)
                                                             (if (<=
                                                                  x.im
                                                                  4.8e-46)
                                                               t_1
                                                               (if (<=
                                                                    x.im
                                                                    3.5e-25)
                                                                 (/ x.im y.im)
                                                                 (if (<=
                                                                      x.im
                                                                      1.35e-13)
                                                                   t_1
                                                                   (if (<=
                                                                        x.im
                                                                        1.4e-13)
                                                                     (/
                                                                      x.im
                                                                      y.re)
                                                                     (if (<=
                                                                          x.im
                                                                          3.5e+27)
                                                                       (/
                                                                        x.re
                                                                        y.re)
                                                                       (if (<=
                                                                            x.im
                                                                            3.2e+36)
                                                                         (/
                                                                          x.im
                                                                          y.im)
                                                                         (if (<=
                                                                              x.im
                                                                              9e+46)
                                                                           (/
                                                                            x.re
                                                                            y.re)
                                                                           (if (<=
                                                                                x.im
                                                                                9.5e+46)
                                                                             (/
                                                                              x.im
                                                                              y.re)
                                                                             (if (<=
                                                                                  x.im
                                                                                  1.5e+78)
                                                                               (/
                                                                                x.re
                                                                                y.re)
                                                                               (if (<=
                                                                                    x.im
                                                                                    3.7e+117)
                                                                                 (/
                                                                                  x.im
                                                                                  y.im)
                                                                                 (if (<=
                                                                                      x.im
                                                                                      3.8e+117)
                                                                                   t_0
                                                                                   (if (<=
                                                                                        x.im
                                                                                        3.25e+131)
                                                                                     (/
                                                                                      x.re
                                                                                      y.re)
                                                                                     (if (<=
                                                                                          x.im
                                                                                          8.4e+136)
                                                                                       (/
                                                                                        x.im
                                                                                        y.im)
                                                                                       (if (<=
                                                                                            x.im
                                                                                            5.8e+170)
                                                                                         (/
                                                                                          x.re
                                                                                          y.re)
                                                                                         (if (<=
                                                                                              x.im
                                                                                              6e+170)
                                                                                           (/
                                                                                            x.im
                                                                                            y.re)
                                                                                           (if (<=
                                                                                                x.im
                                                                                                4.2e+185)
                                                                                             (/
                                                                                              x.re
                                                                                              y.re)
                                                                                             (if (<=
                                                                                                  x.im
                                                                                                  5.8e+188)
                                                                                               (/
                                                                                                x.im
                                                                                                y.im)
                                                                                               (if (<=
                                                                                                    x.im
                                                                                                    6e+188)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.re)
                                                                                                 (if (<=
                                                                                                      x.im
                                                                                                      1.35e+244)
                                                                                                   (/
                                                                                                    x.im
                                                                                                    y.im)
                                                                                                   (if (<=
                                                                                                        x.im
                                                                                                        1.4e+244)
                                                                                                     (/
                                                                                                      x.im
                                                                                                      y.re)
                                                                                                     (if (<=
                                                                                                          x.im
                                                                                                          1.2e+263)
                                                                                                       (/
                                                                                                        x.im
                                                                                                        y.im)
                                                                                                       (if (<=
                                                                                                            x.im
                                                                                                            5.9e+271)
                                                                                                         (/
                                                                                                          x.re
                                                                                                          y.re)
                                                                                                         (if (<=
                                                                                                              x.im
                                                                                                              1.7e+276)
                                                                                                           (/
                                                                                                            x.im
                                                                                                            y.im)
                                                                                                           (if (<=
                                                                                                                x.im
                                                                                                                1.26e+277)
                                                                                                             t_0
                                                                                                             (if (or (<=
                                                                                                                      x.im
                                                                                                                      8.4e+294)
                                                                                                                     (not
                                                                                                                      (<=
                                                                                                                       x.im
                                                                                                                       5.5e+299)))
                                                                                                               (/
                                                                                                                x.im
                                                                                                                y.im)
                                                                                                               (/
                                                                                                                x.re
                                                                                                                y.re)))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (x_46_im <= -4.7e-255) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.9e-264) {
		tmp = t_1;
	} else if (x_46_im <= 2.05e-257) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.2e-252) {
		tmp = t_1;
	} else if (x_46_im <= 9.4e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.8e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.55e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.85e-193) {
		tmp = t_1;
	} else if (x_46_im <= 3.8e-170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.4e-165) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-158) {
		tmp = t_1;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.7e-131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.62e-130) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.1e-120) {
		tmp = t_1;
	} else if (x_46_im <= 9.4e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5e-102) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.1e-102) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.7e-95) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8e-95) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9.5e-86) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_0;
	} else if (x_46_im <= 1.2e-61) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.45e-61) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.6e-46) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.8e-46) {
		tmp = t_1;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_1;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.5e+27) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.2e+36) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.5e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 3.25e+131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.4e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4.2e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.2e+263) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.9e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if ((x_46_im <= 8.4e+294) || !(x_46_im <= 5.5e+299)) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: tmp
    t_0 = -x_46im / y_46re
    t_1 = x_46re * ((y_46re / y_46im) / y_46im)
    if (x_46im <= (-4.7d-255)) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.9d-264) then
        tmp = t_1
    else if (x_46im <= 2.05d-257) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.2d-252) then
        tmp = t_1
    else if (x_46im <= 9.4d-247) then
        tmp = x_46re / y_46re
    else if (x_46im <= 8.8d-243) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.55d-193) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.85d-193) then
        tmp = t_1
    else if (x_46im <= 3.8d-170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.4d-165) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.45d-158) then
        tmp = t_1
    else if (x_46im <= 7.5d-141) then
        tmp = x_46re / y_46re
    else if (x_46im <= 7.8d-141) then
        tmp = x_46im / y_46re
    else if (x_46im <= 2.7d-131) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.62d-130) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.45d-124) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.1d-120) then
        tmp = t_1
    else if (x_46im <= 9.4d-114) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5d-102) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.1d-102) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2.7d-95) then
        tmp = x_46re / y_46re
    else if (x_46im <= 8d-95) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9.5d-86) then
        tmp = x_46re / y_46re
    else if (x_46im <= 4.1d-72) then
        tmp = x_46im / y_46im
    else if (x_46im <= 4.2d-72) then
        tmp = t_0
    else if (x_46im <= 1.2d-61) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.45d-61) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5d-56) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.6d-46) then
        tmp = x_46im / y_46im
    else if (x_46im <= 4.8d-46) then
        tmp = t_1
    else if (x_46im <= 3.5d-25) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.35d-13) then
        tmp = t_1
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 3.5d+27) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.2d+36) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.5d+78) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.7d+117) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.8d+117) then
        tmp = t_0
    else if (x_46im <= 3.25d+131) then
        tmp = x_46re / y_46re
    else if (x_46im <= 8.4d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 4.2d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.2d+263) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.9d+271) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d+276) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.26d+277) then
        tmp = t_0
    else if ((x_46im <= 8.4d+294) .or. (.not. (x_46im <= 5.5d+299))) then
        tmp = x_46im / y_46im
    else
        tmp = x_46re / y_46re
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (x_46_im <= -4.7e-255) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.9e-264) {
		tmp = t_1;
	} else if (x_46_im <= 2.05e-257) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.2e-252) {
		tmp = t_1;
	} else if (x_46_im <= 9.4e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.8e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.55e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.85e-193) {
		tmp = t_1;
	} else if (x_46_im <= 3.8e-170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.4e-165) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-158) {
		tmp = t_1;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.7e-131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.62e-130) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.1e-120) {
		tmp = t_1;
	} else if (x_46_im <= 9.4e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5e-102) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.1e-102) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.7e-95) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8e-95) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9.5e-86) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_0;
	} else if (x_46_im <= 1.2e-61) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.45e-61) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.6e-46) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.8e-46) {
		tmp = t_1;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_1;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.5e+27) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.2e+36) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.5e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 3.25e+131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 8.4e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4.2e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.2e+263) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.9e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if ((x_46_im <= 8.4e+294) || !(x_46_im <= 5.5e+299)) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = -x_46_im / y_46_re
	t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	tmp = 0
	if x_46_im <= -4.7e-255:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.9e-264:
		tmp = t_1
	elif x_46_im <= 2.05e-257:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.2e-252:
		tmp = t_1
	elif x_46_im <= 9.4e-247:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 8.8e-243:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.55e-193:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.85e-193:
		tmp = t_1
	elif x_46_im <= 3.8e-170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.4e-165:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.45e-158:
		tmp = t_1
	elif x_46_im <= 7.5e-141:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 7.8e-141:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 2.7e-131:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.62e-130:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.45e-124:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.1e-120:
		tmp = t_1
	elif x_46_im <= 9.4e-114:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5e-102:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.1e-102:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2.7e-95:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 8e-95:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9.5e-86:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 4.1e-72:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 4.2e-72:
		tmp = t_0
	elif x_46_im <= 1.2e-61:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.45e-61:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5e-56:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.6e-46:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 4.8e-46:
		tmp = t_1
	elif x_46_im <= 3.5e-25:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.35e-13:
		tmp = t_1
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 3.5e+27:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.2e+36:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.5e+78:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.7e+117:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.8e+117:
		tmp = t_0
	elif x_46_im <= 3.25e+131:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 8.4e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 4.2e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.2e+263:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.9e+271:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e+276:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.26e+277:
		tmp = t_0
	elif (x_46_im <= 8.4e+294) or not (x_46_im <= 5.5e+299):
		tmp = x_46_im / y_46_im
	else:
		tmp = x_46_re / y_46_re
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(-x_46_im) / y_46_re)
	t_1 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	tmp = 0.0
	if (x_46_im <= -4.7e-255)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.9e-264)
		tmp = t_1;
	elseif (x_46_im <= 2.05e-257)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.2e-252)
		tmp = t_1;
	elseif (x_46_im <= 9.4e-247)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 8.8e-243)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.55e-193)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.85e-193)
		tmp = t_1;
	elseif (x_46_im <= 3.8e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.4e-165)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.45e-158)
		tmp = t_1;
	elseif (x_46_im <= 7.5e-141)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 7.8e-141)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 2.7e-131)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.62e-130)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.45e-124)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.1e-120)
		tmp = t_1;
	elseif (x_46_im <= 9.4e-114)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5e-102)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.1e-102)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2.7e-95)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 8e-95)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9.5e-86)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 4.1e-72)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 4.2e-72)
		tmp = t_0;
	elseif (x_46_im <= 1.2e-61)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.45e-61)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5e-56)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.6e-46)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 4.8e-46)
		tmp = t_1;
	elseif (x_46_im <= 3.5e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.35e-13)
		tmp = t_1;
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 3.5e+27)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.2e+36)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.5e+78)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.7e+117)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 3.25e+131)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 8.4e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 4.2e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.2e+263)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.9e+271)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e+276)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif ((x_46_im <= 8.4e+294) || !(x_46_im <= 5.5e+299))
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = Float64(x_46_re / y_46_re);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = -x_46_im / y_46_re;
	t_1 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	tmp = 0.0;
	if (x_46_im <= -4.7e-255)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.9e-264)
		tmp = t_1;
	elseif (x_46_im <= 2.05e-257)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.2e-252)
		tmp = t_1;
	elseif (x_46_im <= 9.4e-247)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 8.8e-243)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.55e-193)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.85e-193)
		tmp = t_1;
	elseif (x_46_im <= 3.8e-170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.4e-165)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.45e-158)
		tmp = t_1;
	elseif (x_46_im <= 7.5e-141)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 7.8e-141)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 2.7e-131)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.62e-130)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.45e-124)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.1e-120)
		tmp = t_1;
	elseif (x_46_im <= 9.4e-114)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5e-102)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.1e-102)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2.7e-95)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 8e-95)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9.5e-86)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 4.1e-72)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 4.2e-72)
		tmp = t_0;
	elseif (x_46_im <= 1.2e-61)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.45e-61)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5e-56)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.6e-46)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 4.8e-46)
		tmp = t_1;
	elseif (x_46_im <= 3.5e-25)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.35e-13)
		tmp = t_1;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 3.5e+27)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.2e+36)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.5e+78)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.7e+117)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 3.25e+131)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 8.4e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 4.2e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.2e+263)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.9e+271)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e+276)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif ((x_46_im <= 8.4e+294) || ~((x_46_im <= 5.5e+299)))
		tmp = x_46_im / y_46_im;
	else
		tmp = x_46_re / y_46_re;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[((-x$46$im) / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x$46$im, -4.7e-255], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.9e-264], t$95$1, If[LessEqual[x$46$im, 2.05e-257], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.2e-252], t$95$1, If[LessEqual[x$46$im, 9.4e-247], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 8.8e-243], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.55e-193], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.85e-193], t$95$1, If[LessEqual[x$46$im, 3.8e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.4e-165], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.45e-158], t$95$1, If[LessEqual[x$46$im, 7.5e-141], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 7.8e-141], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.7e-131], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.62e-130], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.45e-124], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.1e-120], t$95$1, If[LessEqual[x$46$im, 9.4e-114], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5e-102], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.1e-102], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2.7e-95], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 8e-95], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9.5e-86], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.1e-72], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 4.2e-72], t$95$0, If[LessEqual[x$46$im, 1.2e-61], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.45e-61], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5e-56], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.6e-46], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 4.8e-46], t$95$1, If[LessEqual[x$46$im, 3.5e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.35e-13], t$95$1, If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.5e+27], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.2e+36], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.5e+78], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.7e+117], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+117], t$95$0, If[LessEqual[x$46$im, 3.25e+131], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 8.4e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.2e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.2e+263], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.9e+271], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+276], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.26e+277], t$95$0, If[Or[LessEqual[x$46$im, 8.4e+294], N[Not[LessEqual[x$46$im, 5.5e+299]], $MachinePrecision]], N[(x$46$im / y$46$im), $MachinePrecision], N[(x$46$re / y$46$re), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if x.im < -4.6999999999999997e-255 or 3.8999999999999999e-264 < x.im < 2.0499999999999998e-257 or 3.2000000000000002e-252 < x.im < 9.3999999999999996e-247 or 8.7999999999999996e-243 < x.im < 1.5500000000000001e-193 or 1.8500000000000001e-193 < x.im < 3.7999999999999998e-170 or 1.4499999999999999e-158 < x.im < 7.50000000000000046e-141 or 7.7999999999999994e-141 < x.im < 2.70000000000000021e-131 or 1.62e-130 < x.im < 1.4500000000000001e-124 or 9.40000000000000012e-114 < x.im < 5.00000000000000026e-102 or 5.09999999999999999e-102 < x.im < 2.7e-95 or 7.99999999999999992e-95 < x.im < 9.4999999999999996e-86 or 4.2e-72 < x.im < 1.2e-61 or 1.45e-61 < x.im < 4.99999999999999997e-56 or 1.4000000000000001e-13 < x.im < 3.5000000000000002e27 or 3.1999999999999999e36 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 1.49999999999999991e78 or 3.8000000000000002e117 < x.im < 3.25e131 or 8.3999999999999996e136 < x.im < 5.8000000000000001e170 or 5.99999999999999994e170 < x.im < 4.2e185 or 1.2e263 < x.im < 5.8999999999999997e271 or 8.3999999999999999e294 < x.im < 5.5000000000000003e299

   1. Initial program 59.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 64.5%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -4.6999999999999997e-255 < x.im < 3.8999999999999999e-264 or 2.0499999999999998e-257 < x.im < 3.2000000000000002e-252 or 1.5500000000000001e-193 < x.im < 1.8500000000000001e-193 or 3.4e-165 < x.im < 1.4499999999999999e-158 or 1.4500000000000001e-124 < x.im < 2.1e-120 or 1.6e-46 < x.im < 4.80000000000000027e-46 or 3.5000000000000002e-25 < x.im < 1.35000000000000005e-13

   1. Initial program 85.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 73.8%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 76.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 76.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 68.3%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 68.6%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 68.6%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 68.6%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 68.6%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 71.5%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 71.5%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 71.5%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 71.5%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 71.5%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 9.3999999999999996e-247 < x.im < 8.7999999999999996e-243 or 3.7999999999999998e-170 < x.im < 3.4e-165 or 2.70000000000000021e-131 < x.im < 1.62e-130 or 2.1e-120 < x.im < 9.40000000000000012e-114 or 5.00000000000000026e-102 < x.im < 5.09999999999999999e-102 or 2.7e-95 < x.im < 7.99999999999999992e-95 or 9.4999999999999996e-86 < x.im < 4.10000000000000003e-72 or 1.2e-61 < x.im < 1.45e-61 or 4.99999999999999997e-56 < x.im < 1.6e-46 or 4.80000000000000027e-46 < x.im < 3.5000000000000002e-25 or 3.5000000000000002e27 < x.im < 3.1999999999999999e36 or 1.49999999999999991e78 < x.im < 3.6999999999999999e117 or 3.25e131 < x.im < 8.3999999999999996e136 or 4.2e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 1.2e263 or 5.8999999999999997e271 < x.im < 1.69999999999999992e276 or 1.25999999999999995e277 < x.im < 8.3999999999999999e294 or 5.5000000000000003e299 < x.im

   1. Initial program 52.8%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 98.3%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 7.50000000000000046e-141 < x.im < 7.7999999999999994e-141 or 1.35000000000000005e-13 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 5.8000000000000001e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 83.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 83.2%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 83.2%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 83.7%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 83.7%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 83.7%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 7.4%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]

   if 4.10000000000000003e-72 < x.im < 4.2e-72 or 3.6999999999999999e117 < x.im < 3.8000000000000002e117 or 1.69999999999999992e276 < x.im < 1.25999999999999995e277

   1. Initial program 49.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 49.6%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 49.6%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 49.2%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 49.2%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 49.2%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 50.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 50.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.8%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around inf 8.0%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.re}} \]
   9. Step-by-step derivation

      1. associate-*r/ 8.0%

         \[\leadsto \color{blue}{\frac{-1 \cdot x.im}{y.re}} \]

      2. mul-1-neg 8.0%

         \[\leadsto \frac{\color{blue}{-x.im}}{y.re} \]

   10. Simplified 8.0%

       \[\leadsto \color{blue}{\frac{-x.im}{y.re}} \]
3. Recombined 5 regimes into one program.

4. Final simplification 68.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq -4.7 \cdot 10^{-255}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.9 \cdot 10^{-264}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 2.05 \cdot 10^{-257}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{-252}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.55 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.85 \cdot 10^{-193}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-158}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.62 \cdot 10^{-130}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.1 \cdot 10^{-120}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.1 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.7 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{-86}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.6 \cdot 10^{-46}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.8 \cdot 10^{-46}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{+27}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+36}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.5 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.25 \cdot 10^{+131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 8.4 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{+263}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.9 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 8.4 \cdot 10^{+294} \lor \neg \left(x.im \leq 5.5 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 44.5% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{-x.im}{y.re}\\ t_1 := x.re \cdot \frac{y.re}{y.im}\\ t_2 := \frac{x.im + t\_1}{y.im}\\ t_3 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{if}\;x.im \leq -1.05 \cdot 10^{-160}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.8 \cdot 10^{-290}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 4.4 \cdot 10^{-284}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-265}:\\ \;\;\;\;\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{-257}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{-254}:\\ \;\;\;\;\frac{t\_1}{y.im}\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{-192}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x.im \leq 2.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.1 \cdot 10^{-161}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-158}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4 \cdot 10^{-132}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-130}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.05 \cdot 10^{-115}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x.im \leq 8.5 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.65 \cdot 10^{-106}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.18 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.42 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.9 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.4 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-62}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6.5 \cdot 10^{-58}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4.6 \cdot 10^{+28}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{+38}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 7 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 3.6 \cdot 10^{+131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4.6 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.25 \cdot 10^{+262}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+272}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 8.2 \cdot 10^{+298} \lor \neg \left(x.im \leq 1.25 \cdot 10^{+300}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (- x.im) y.re))
        (t_1 (* x.re (/ y.re y.im)))
        (t_2 (/ (+ x.im t_1) y.im))
        (t_3 (* x.re (/ (/ y.re y.im) y.im))))
   (if (<= x.im -1.05e-160)
     (/ x.re y.re)
     (if (<= x.im 9.8e-290)
       t_2
       (if (<= x.im 4.4e-284)
         (/ x.re y.re)
         (if (<= x.im 1.4e-265)
           (/ (/ x.re y.im) (/ y.im y.re))
           (if (<= x.im 3.4e-257)
             (/ x.re y.re)
             (if (<= x.im 1.7e-254)
               (/ t_1 y.im)
               (if (<= x.im 9.4e-247)
                 (/ x.re y.re)
                 (if (<= x.im 9.5e-243)
                   (/ x.im y.im)
                   (if (<= x.im 1.8e-193)
                     (/ x.re y.re)
                     (if (<= x.im 3.2e-192)
                       t_3
                       (if (<= x.im 2.5e-170)
                         (/ x.re y.re)
                         (if (<= x.im 6.1e-161)
                           (/ x.im y.im)
                           (if (<= x.im 1.4e-158)
                             t_3
                             (if (<= x.im 7.5e-141)
                               (/ x.re y.re)
                               (if (<= x.im 7.8e-141)
                                 (/ x.im y.re)
                                 (if (<= x.im 4e-132)
                                   (/ x.re y.re)
                                   (if (<= x.im 2e-130)
                                     (/ x.im y.im)
                                     (if (<= x.im 1.45e-124)
                                       (/ x.re y.re)
                                       (if (<= x.im 1.05e-115)
                                         t_3
                                         (if (<= x.im 8.5e-114)
                                           (/ x.im y.im)
                                           (if (<= x.im 1.65e-106)
                                             (/ x.re y.re)
                                             (if (<= x.im 1.18e-101)
                                               (/ x.im y.im)
                                               (if (<= x.im 1.42e-95)
                                                 (/ x.re y.re)
                                                 (if (<= x.im 2.9e-95)
                                                   (/ x.im y.im)
                                                   (if (<= x.im 4.4e-85)
                                                     (/ x.re y.re)
                                                     (if (<= x.im 4.1e-72)
                                                       (/ x.im y.im)
                                                       (if (<= x.im 4.2e-72)
                                                         t_0
                                                         (if (<= x.im 8.8e-62)
                                                           (/ x.re y.re)
                                                           (if (<=
                                                                x.im
                                                                2.6e-61)
                                                             (/ x.im y.im)
                                                             (if (<=
                                                                  x.im
                                                                  6.5e-58)
                                                               (/ x.re y.re)
                                                               (if (<=
                                                                    x.im
                                                                    1.35e-13)
                                                                 t_2
                                                                 (if (<=
                                                                      x.im
                                                                      1.4e-13)
                                                                   (/
                                                                    x.im
                                                                    y.re)
                                                                   (if (<=
                                                                        x.im
                                                                        4.6e+28)
                                                                     (/
                                                                      x.re
                                                                      y.re)
                                                                     (if (<=
                                                                          x.im
                                                                          2.6e+38)
                                                                       (/
                                                                        x.im
                                                                        y.im)
                                                                       (if (<=
                                                                            x.im
                                                                            9e+46)
                                                                         (/
                                                                          x.re
                                                                          y.re)
                                                                         (if (<=
                                                                              x.im
                                                                              9.5e+46)
                                                                           (/
                                                                            x.im
                                                                            y.re)
                                                                           (if (<=
                                                                                x.im
                                                                                7e+78)
                                                                             (/
                                                                              x.re
                                                                              y.re)
                                                                             (if (<=
                                                                                  x.im
                                                                                  3.7e+117)
                                                                               (/
                                                                                x.im
                                                                                y.im)
                                                                               (if (<=
                                                                                    x.im
                                                                                    3.8e+117)
                                                                                 t_0
                                                                                 (if (<=
                                                                                      x.im
                                                                                      3.6e+131)
                                                                                   (/
                                                                                    x.re
                                                                                    y.re)
                                                                                   (if (<=
                                                                                        x.im
                                                                                        6.2e+136)
                                                                                     (/
                                                                                      x.im
                                                                                      y.im)
                                                                                     (if (<=
                                                                                          x.im
                                                                                          5.8e+170)
                                                                                       (/
                                                                                        x.re
                                                                                        y.re)
                                                                                       (if (<=
                                                                                            x.im
                                                                                            6e+170)
                                                                                         (/
                                                                                          x.im
                                                                                          y.re)
                                                                                         (if (<=
                                                                                              x.im
                                                                                              4.6e+185)
                                                                                           (/
                                                                                            x.re
                                                                                            y.re)
                                                                                           (if (<=
                                                                                                x.im
                                                                                                5.8e+188)
                                                                                             (/
                                                                                              x.im
                                                                                              y.im)
                                                                                             (if (<=
                                                                                                  x.im
                                                                                                  6e+188)
                                                                                               (/
                                                                                                x.im
                                                                                                y.re)
                                                                                               (if (<=
                                                                                                    x.im
                                                                                                    1.35e+244)
                                                                                                 (/
                                                                                                  x.im
                                                                                                  y.im)
                                                                                                 (if (<=
                                                                                                      x.im
                                                                                                      1.4e+244)
                                                                                                   (/
                                                                                                    x.im
                                                                                                    y.re)
                                                                                                   (if (<=
                                                                                                        x.im
                                                                                                        1.25e+262)
                                                                                                     (/
                                                                                                      x.im
                                                                                                      y.im)
                                                                                                     (if (<=
                                                                                                          x.im
                                                                                                          1.7e+272)
                                                                                                       (/
                                                                                                        x.re
                                                                                                        y.re)
                                                                                                       (if (<=
                                                                                                            x.im
                                                                                                            1.7e+276)
                                                                                                         (/
                                                                                                          x.im
                                                                                                          y.im)
                                                                                                         (if (<=
                                                                                                              x.im
                                                                                                              1.26e+277)
                                                                                                           t_0
                                                                                                           (if (or (<=
                                                                                                                    x.im
                                                                                                                    8.2e+298)
                                                                                                                   (not
                                                                                                                    (<=
                                                                                                                     x.im
                                                                                                                     1.25e+300)))
                                                                                                             (/
                                                                                                              x.im
                                                                                                              y.im)
                                                                                                             (/
                                                                                                              x.re
                                                                                                              y.re))))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double t_1 = x_46_re * (y_46_re / y_46_im);
	double t_2 = (x_46_im + t_1) / y_46_im;
	double t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (x_46_im <= -1.05e-160) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.8e-290) {
		tmp = t_2;
	} else if (x_46_im <= 4.4e-284) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.4e-265) {
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re);
	} else if (x_46_im <= 3.4e-257) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e-254) {
		tmp = t_1 / y_46_im;
	} else if (x_46_im <= 9.4e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.8e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.2e-192) {
		tmp = t_3;
	} else if (x_46_im <= 2.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.1e-161) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-158) {
		tmp = t_3;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4e-132) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2e-130) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.05e-115) {
		tmp = t_3;
	} else if (x_46_im <= 8.5e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.65e-106) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.18e-101) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.42e-95) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.9e-95) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.4e-85) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_0;
	} else if (x_46_im <= 8.8e-62) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.6e-61) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6.5e-58) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_2;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4.6e+28) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.6e+38) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 7e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 3.6e+131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.2e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4.6e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.25e+262) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.7e+272) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if ((x_46_im <= 8.2e+298) || !(x_46_im <= 1.25e+300)) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_0 = -x_46im / y_46re
    t_1 = x_46re * (y_46re / y_46im)
    t_2 = (x_46im + t_1) / y_46im
    t_3 = x_46re * ((y_46re / y_46im) / y_46im)
    if (x_46im <= (-1.05d-160)) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.8d-290) then
        tmp = t_2
    else if (x_46im <= 4.4d-284) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.4d-265) then
        tmp = (x_46re / y_46im) / (y_46im / y_46re)
    else if (x_46im <= 3.4d-257) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d-254) then
        tmp = t_1 / y_46im
    else if (x_46im <= 9.4d-247) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d-243) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.8d-193) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.2d-192) then
        tmp = t_3
    else if (x_46im <= 2.5d-170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.1d-161) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d-158) then
        tmp = t_3
    else if (x_46im <= 7.5d-141) then
        tmp = x_46re / y_46re
    else if (x_46im <= 7.8d-141) then
        tmp = x_46im / y_46re
    else if (x_46im <= 4d-132) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2d-130) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.45d-124) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.05d-115) then
        tmp = t_3
    else if (x_46im <= 8.5d-114) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.65d-106) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.18d-101) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.42d-95) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.9d-95) then
        tmp = x_46im / y_46im
    else if (x_46im <= 4.4d-85) then
        tmp = x_46re / y_46re
    else if (x_46im <= 4.1d-72) then
        tmp = x_46im / y_46im
    else if (x_46im <= 4.2d-72) then
        tmp = t_0
    else if (x_46im <= 8.8d-62) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.6d-61) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6.5d-58) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.35d-13) then
        tmp = t_2
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 4.6d+28) then
        tmp = x_46re / y_46re
    else if (x_46im <= 2.6d+38) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 7d+78) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.7d+117) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.8d+117) then
        tmp = t_0
    else if (x_46im <= 3.6d+131) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.2d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 4.6d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.25d+262) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.7d+272) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d+276) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.26d+277) then
        tmp = t_0
    else if ((x_46im <= 8.2d+298) .or. (.not. (x_46im <= 1.25d+300))) then
        tmp = x_46im / y_46im
    else
        tmp = x_46re / y_46re
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double t_1 = x_46_re * (y_46_re / y_46_im);
	double t_2 = (x_46_im + t_1) / y_46_im;
	double t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double tmp;
	if (x_46_im <= -1.05e-160) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.8e-290) {
		tmp = t_2;
	} else if (x_46_im <= 4.4e-284) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.4e-265) {
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re);
	} else if (x_46_im <= 3.4e-257) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e-254) {
		tmp = t_1 / y_46_im;
	} else if (x_46_im <= 9.4e-247) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e-243) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.8e-193) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.2e-192) {
		tmp = t_3;
	} else if (x_46_im <= 2.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.1e-161) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-158) {
		tmp = t_3;
	} else if (x_46_im <= 7.5e-141) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.8e-141) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4e-132) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2e-130) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-124) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.05e-115) {
		tmp = t_3;
	} else if (x_46_im <= 8.5e-114) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.65e-106) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.18e-101) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.42e-95) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.9e-95) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.4e-85) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 4.1e-72) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 4.2e-72) {
		tmp = t_0;
	} else if (x_46_im <= 8.8e-62) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.6e-61) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6.5e-58) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.35e-13) {
		tmp = t_2;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4.6e+28) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 2.6e+38) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 7e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 3.6e+131) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.2e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 4.6e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.25e+262) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.7e+272) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if ((x_46_im <= 8.2e+298) || !(x_46_im <= 1.25e+300)) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = -x_46_im / y_46_re
	t_1 = x_46_re * (y_46_re / y_46_im)
	t_2 = (x_46_im + t_1) / y_46_im
	t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	tmp = 0
	if x_46_im <= -1.05e-160:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.8e-290:
		tmp = t_2
	elif x_46_im <= 4.4e-284:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.4e-265:
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re)
	elif x_46_im <= 3.4e-257:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e-254:
		tmp = t_1 / y_46_im
	elif x_46_im <= 9.4e-247:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e-243:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.8e-193:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.2e-192:
		tmp = t_3
	elif x_46_im <= 2.5e-170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.1e-161:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e-158:
		tmp = t_3
	elif x_46_im <= 7.5e-141:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 7.8e-141:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 4e-132:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2e-130:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.45e-124:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.05e-115:
		tmp = t_3
	elif x_46_im <= 8.5e-114:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.65e-106:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.18e-101:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.42e-95:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.9e-95:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 4.4e-85:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 4.1e-72:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 4.2e-72:
		tmp = t_0
	elif x_46_im <= 8.8e-62:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.6e-61:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6.5e-58:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.35e-13:
		tmp = t_2
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 4.6e+28:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 2.6e+38:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 7e+78:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.7e+117:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.8e+117:
		tmp = t_0
	elif x_46_im <= 3.6e+131:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.2e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 4.6e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.25e+262:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.7e+272:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e+276:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.26e+277:
		tmp = t_0
	elif (x_46_im <= 8.2e+298) or not (x_46_im <= 1.25e+300):
		tmp = x_46_im / y_46_im
	else:
		tmp = x_46_re / y_46_re
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(-x_46_im) / y_46_re)
	t_1 = Float64(x_46_re * Float64(y_46_re / y_46_im))
	t_2 = Float64(Float64(x_46_im + t_1) / y_46_im)
	t_3 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	tmp = 0.0
	if (x_46_im <= -1.05e-160)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.8e-290)
		tmp = t_2;
	elseif (x_46_im <= 4.4e-284)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.4e-265)
		tmp = Float64(Float64(x_46_re / y_46_im) / Float64(y_46_im / y_46_re));
	elseif (x_46_im <= 3.4e-257)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e-254)
		tmp = Float64(t_1 / y_46_im);
	elseif (x_46_im <= 9.4e-247)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e-243)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.8e-193)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.2e-192)
		tmp = t_3;
	elseif (x_46_im <= 2.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.1e-161)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e-158)
		tmp = t_3;
	elseif (x_46_im <= 7.5e-141)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 7.8e-141)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 4e-132)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2e-130)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.45e-124)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.05e-115)
		tmp = t_3;
	elseif (x_46_im <= 8.5e-114)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.65e-106)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.18e-101)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.42e-95)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.9e-95)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 4.4e-85)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 4.1e-72)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 4.2e-72)
		tmp = t_0;
	elseif (x_46_im <= 8.8e-62)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.6e-61)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6.5e-58)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.35e-13)
		tmp = t_2;
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 4.6e+28)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 2.6e+38)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 7e+78)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.7e+117)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 3.6e+131)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.2e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 4.6e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.25e+262)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.7e+272)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e+276)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif ((x_46_im <= 8.2e+298) || !(x_46_im <= 1.25e+300))
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = Float64(x_46_re / y_46_re);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = -x_46_im / y_46_re;
	t_1 = x_46_re * (y_46_re / y_46_im);
	t_2 = (x_46_im + t_1) / y_46_im;
	t_3 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	tmp = 0.0;
	if (x_46_im <= -1.05e-160)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.8e-290)
		tmp = t_2;
	elseif (x_46_im <= 4.4e-284)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.4e-265)
		tmp = (x_46_re / y_46_im) / (y_46_im / y_46_re);
	elseif (x_46_im <= 3.4e-257)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e-254)
		tmp = t_1 / y_46_im;
	elseif (x_46_im <= 9.4e-247)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e-243)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.8e-193)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.2e-192)
		tmp = t_3;
	elseif (x_46_im <= 2.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.1e-161)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e-158)
		tmp = t_3;
	elseif (x_46_im <= 7.5e-141)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 7.8e-141)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 4e-132)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2e-130)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.45e-124)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.05e-115)
		tmp = t_3;
	elseif (x_46_im <= 8.5e-114)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.65e-106)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.18e-101)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.42e-95)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.9e-95)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 4.4e-85)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 4.1e-72)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 4.2e-72)
		tmp = t_0;
	elseif (x_46_im <= 8.8e-62)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.6e-61)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6.5e-58)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.35e-13)
		tmp = t_2;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 4.6e+28)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 2.6e+38)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 7e+78)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.7e+117)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 3.6e+131)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.2e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 4.6e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.25e+262)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.7e+272)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e+276)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif ((x_46_im <= 8.2e+298) || ~((x_46_im <= 1.25e+300)))
		tmp = x_46_im / y_46_im;
	else
		tmp = x_46_re / y_46_re;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[((-x$46$im) / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x$46$im + t$95$1), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$3 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x$46$im, -1.05e-160], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.8e-290], t$95$2, If[LessEqual[x$46$im, 4.4e-284], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-265], N[(N[(x$46$re / y$46$im), $MachinePrecision] / N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision], If[LessEqual[x$46$im, 3.4e-257], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e-254], N[(t$95$1 / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9.4e-247], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e-243], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.8e-193], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.2e-192], t$95$3, If[LessEqual[x$46$im, 2.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.1e-161], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-158], t$95$3, If[LessEqual[x$46$im, 7.5e-141], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 7.8e-141], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4e-132], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2e-130], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.45e-124], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.05e-115], t$95$3, If[LessEqual[x$46$im, 8.5e-114], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.65e-106], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.18e-101], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.42e-95], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.9e-95], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 4.4e-85], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.1e-72], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 4.2e-72], t$95$0, If[LessEqual[x$46$im, 8.8e-62], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.6e-61], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6.5e-58], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e-13], t$95$2, If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.6e+28], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.6e+38], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 7e+78], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.7e+117], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+117], t$95$0, If[LessEqual[x$46$im, 3.6e+131], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.2e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 4.6e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.25e+262], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+272], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+276], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.26e+277], t$95$0, If[Or[LessEqual[x$46$im, 8.2e+298], N[Not[LessEqual[x$46$im, 1.25e+300]], $MachinePrecision]], N[(x$46$im / y$46$im), $MachinePrecision], N[(x$46$re / y$46$re), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x.im < -1.05e-160 or 9.8000000000000002e-290 < x.im < 4.4000000000000001e-284 or 1.40000000000000012e-265 < x.im < 3.3999999999999998e-257 or 1.69999999999999996e-254 < x.im < 9.3999999999999996e-247 or 9.5000000000000005e-243 < x.im < 1.7999999999999999e-193 or 3.2000000000000002e-192 < x.im < 2.50000000000000005e-170 or 1.40000000000000001e-158 < x.im < 7.50000000000000046e-141 or 7.7999999999999994e-141 < x.im < 3.9999999999999999e-132 or 2.0000000000000002e-130 < x.im < 1.4500000000000001e-124 or 8.5000000000000006e-114 < x.im < 1.65000000000000008e-106 or 1.1800000000000001e-101 < x.im < 1.42000000000000007e-95 or 2.90000000000000002e-95 < x.im < 4.4e-85 or 4.2e-72 < x.im < 8.80000000000000069e-62 or 2.6000000000000001e-61 < x.im < 6.49999999999999964e-58 or 1.4000000000000001e-13 < x.im < 4.59999999999999968e28 or 2.5999999999999999e38 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 7.0000000000000003e78 or 3.8000000000000002e117 < x.im < 3.60000000000000031e131 or 6.19999999999999967e136 < x.im < 5.8000000000000001e170 or 5.99999999999999994e170 < x.im < 4.6000000000000003e185 or 1.25000000000000002e262 < x.im < 1.70000000000000005e272 or 8.20000000000000032e298 < x.im < 1.25000000000000007e300

   1. Initial program 58.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 67.2%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -1.05e-160 < x.im < 9.8000000000000002e-290 or 6.49999999999999964e-58 < x.im < 1.35000000000000005e-13

   1. Initial program 75.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 62.3%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 66.1%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 66.1%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if 4.4000000000000001e-284 < x.im < 1.40000000000000012e-265

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.7%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.7%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 99.7%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 99.7%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 99.7%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 99.7%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 99.7%

          \[\leadsto \color{blue}{\left(x.re \cdot \frac{1}{y.im}\right) \cdot \frac{y.re}{y.im}} \]

       2. div-inv 99.7%

          \[\leadsto \color{blue}{\frac{x.re}{y.im}} \cdot \frac{y.re}{y.im} \]

       3. clear-num 99.7%

          \[\leadsto \frac{x.re}{y.im} \cdot \color{blue}{\frac{1}{\frac{y.im}{y.re}}} \]

       4. un-div-inv 100.0%

          \[\leadsto \color{blue}{\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}} \]

   12. Applied egg-rr 100.0%

       \[\leadsto \color{blue}{\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}} \]

   if 3.3999999999999998e-257 < x.im < 1.69999999999999996e-254

   1. Initial program 57.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 57.6%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 57.6%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 57.6%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 57.6%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 57.6%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 56.8%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 56.8%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 56.8%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 56.8%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 56.8%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 100.0%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 100.0%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   if 9.3999999999999996e-247 < x.im < 9.5000000000000005e-243 or 2.50000000000000005e-170 < x.im < 6.10000000000000015e-161 or 3.9999999999999999e-132 < x.im < 2.0000000000000002e-130 or 1.05000000000000001e-115 < x.im < 8.5000000000000006e-114 or 1.65000000000000008e-106 < x.im < 1.1800000000000001e-101 or 1.42000000000000007e-95 < x.im < 2.90000000000000002e-95 or 4.4e-85 < x.im < 4.10000000000000003e-72 or 8.80000000000000069e-62 < x.im < 2.6000000000000001e-61 or 4.59999999999999968e28 < x.im < 2.5999999999999999e38 or 7.0000000000000003e78 < x.im < 3.6999999999999999e117 or 3.60000000000000031e131 < x.im < 6.19999999999999967e136 or 4.6000000000000003e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 1.25000000000000002e262 or 1.70000000000000005e272 < x.im < 1.69999999999999992e276 or 1.25999999999999995e277 < x.im < 8.20000000000000032e298 or 1.25000000000000007e300 < x.im

   1. Initial program 51.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 97.9%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 1.7999999999999999e-193 < x.im < 3.2000000000000002e-192 or 6.10000000000000015e-161 < x.im < 1.40000000000000001e-158 or 1.4500000000000001e-124 < x.im < 1.05000000000000001e-115

   1. Initial program 81.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 80.7%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 80.7%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 80.7%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 61.9%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 62.7%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 62.7%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 62.7%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 62.7%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 81.7%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 81.7%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 81.7%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 81.7%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 81.7%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 7.50000000000000046e-141 < x.im < 7.7999999999999994e-141 or 1.35000000000000005e-13 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 5.8000000000000001e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 83.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 83.2%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 83.2%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 83.7%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 83.7%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 83.7%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 7.4%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]

   if 4.10000000000000003e-72 < x.im < 4.2e-72 or 3.6999999999999999e117 < x.im < 3.8000000000000002e117 or 1.69999999999999992e276 < x.im < 1.25999999999999995e277

   1. Initial program 49.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 49.6%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 49.6%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 49.2%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 49.2%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 49.2%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 50.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 50.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.8%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.8%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around inf 8.0%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.re}} \]
   9. Step-by-step derivation

      1. associate-*r/ 8.0%

         \[\leadsto \color{blue}{\frac{-1 \cdot x.im}{y.re}} \]

      2. mul-1-neg 8.0%

         \[\leadsto \frac{\color{blue}{-x.im}}{y.re} \]

   10. Simplified 8.0%

       \[\leadsto \color{blue}{\frac{-x.im}{y.re}} \]
3. Recombined 8 regimes into one program.

4. Final simplification 69.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq -1.05 \cdot 10^{-160}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.8 \cdot 10^{-290}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 4.4 \cdot 10^{-284}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-265}:\\ \;\;\;\;\frac{\frac{x.re}{y.im}}{\frac{y.im}{y.re}}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{-257}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{-254}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 9.4 \cdot 10^{-247}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{-243}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.8 \cdot 10^{-193}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{-192}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 2.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.1 \cdot 10^{-161}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-158}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{-141}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4 \cdot 10^{-132}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2 \cdot 10^{-130}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-124}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.05 \cdot 10^{-115}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 8.5 \cdot 10^{-114}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.65 \cdot 10^{-106}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.18 \cdot 10^{-101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.42 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.9 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.4 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 4.1 \cdot 10^{-72}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 4.2 \cdot 10^{-72}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 8.8 \cdot 10^{-62}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{-61}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6.5 \cdot 10^{-58}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4.6 \cdot 10^{+28}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{+38}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 7 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.6 \cdot 10^{+131}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 4.6 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.25 \cdot 10^{+262}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+272}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 8.2 \cdot 10^{+298} \lor \neg \left(x.im \leq 1.25 \cdot 10^{+300}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 72.6% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ t_1 := x.re \cdot \frac{y.re}{y.im}\\ t_2 := x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ t_3 := \frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ t_4 := \frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ t_5 := y.re \cdot y.re + y.im \cdot y.im\\ t_6 := \frac{x.im + t\_1}{y.im}\\ t_7 := \frac{t\_1}{y.im}\\ \mathbf{if}\;y.re \leq -7.2 \cdot 10^{-51}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-76}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-80}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -5 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -3.4 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -2.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im \cdot y.im}{t\_5}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq -3 \cdot 10^{-297}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 4 \cdot 10^{-263}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 7.5 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 1.15 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.6 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.2 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 6 \cdot 10^{-24}:\\ \;\;\;\;\frac{x.re \cdot y.re}{t\_5}\\ \mathbf{elif}\;y.re \leq 175000000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.08 \cdot 10^{+35}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 3.95 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.55 \cdot 10^{+78}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 1.62 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 5.8 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (+ x.re (* x.im (/ y.im y.re))) y.re))
        (t_1 (* x.re (/ y.re y.im)))
        (t_2 (* x.re (/ (/ y.re y.im) y.im)))
        (t_3 (/ (+ x.re (* y.im (/ x.im y.re))) y.re))
        (t_4 (/ (+ x.im (/ (* x.re y.re) y.im)) y.im))
        (t_5 (+ (* y.re y.re) (* y.im y.im)))
        (t_6 (/ (+ x.im t_1) y.im))
        (t_7 (/ t_1 y.im)))
   (if (<= y.re -7.2e-51)
     t_3
     (if (<= y.re -1.6e-76)
       t_6
       (if (<= y.re -2e-80)
         (/ x.re y.re)
         (if (<= y.re -5e-81)
           (/ 1.0 (/ y.im (* y.re (/ x.re y.im))))
           (if (<= y.re -3.4e-81)
             (/ x.re y.re)
             (if (<= y.re -2.8e-95)
               (/ x.im y.im)
               (if (<= y.re -1.7e-103)
                 (/ (* x.im y.im) t_5)
                 (if (<= y.re -1.6e-105)
                   (/ (+ x.re (/ x.im (/ y.re y.im))) y.re)
                   (if (<= y.re -1.55e-170)
                     t_6
                     (if (<= y.re -1.5e-170)
                       (/ x.re y.re)
                       (if (<= y.re -7e-194)
                         t_6
                         (if (<= y.re -1.45e-198)
                           t_0
                           (if (<= y.re -3e-297)
                             t_6
                             (if (<= y.re 2.25e-263)
                               t_4
                               (if (<= y.re 4e-263)
                                 t_0
                                 (if (<= y.re 2.1e-262)
                                   t_2
                                   (if (<= y.re 1.3e-210)
                                     t_6
                                     (if (<= y.re 7.5e-210)
                                       (/ x.re y.re)
                                       (if (<= y.re 7e-207)
                                         t_2
                                         (if (<= y.re 4.1e-165)
                                           t_4
                                           (if (<= y.re 8.4e-150)
                                             t_3
                                             (if (<= y.re 8.5e-123)
                                               t_6
                                               (if (<= y.re 9e-123)
                                                 (/ x.re y.re)
                                                 (if (<= y.re 3.05e-102)
                                                   t_6
                                                   (if (<= y.re 1.15e-98)
                                                     (/ x.re y.re)
                                                     (if (<= y.re 2.6e-85)
                                                       (/ x.im y.im)
                                                       (if (<= y.re 3.2e-84)
                                                         (/ x.re y.re)
                                                         (if (<= y.re 6e-24)
                                                           (/
                                                            (* x.re y.re)
                                                            t_5)
                                                           (if (<=
                                                                y.re
                                                                175000000000.0)
                                                             (/ x.re y.re)
                                                             (if (<=
                                                                  y.re
                                                                  5.2e+19)
                                                               (/ x.im y.im)
                                                               (if (<=
                                                                    y.re
                                                                    1.08e+35)
                                                                 t_0
                                                                 (if (<=
                                                                      y.re
                                                                      3.95e+37)
                                                                   (/
                                                                    x.im
                                                                    y.im)
                                                                   (if (<=
                                                                        y.re
                                                                        1.2e+57)
                                                                     t_0
                                                                     (if (<=
                                                                          y.re
                                                                          1.25e+57)
                                                                       (/
                                                                        x.im
                                                                        y.im)
                                                                       (if (<=
                                                                            y.re
                                                                            1.55e+78)
                                                                         t_0
                                                                         (if (<=
                                                                              y.re
                                                                              1.62e+78)
                                                                           (/
                                                                            x.im
                                                                            y.im)
                                                                           (if (<=
                                                                                y.re
                                                                                5.5e+101)
                                                                             t_3
                                                                             (if (<=
                                                                                  y.re
                                                                                  5.8e+101)
                                                                               (/
                                                                                x.im
                                                                                y.im)
                                                                               (if (<=
                                                                                    y.re
                                                                                    3.5e+117)
                                                                                 (/
                                                                                  x.re
                                                                                  y.re)
                                                                                 (if (<=
                                                                                      y.re
                                                                                      3.6e+117)
                                                                                   t_7
                                                                                   (if (<=
                                                                                        y.re
                                                                                        2e+136)
                                                                                     t_0
                                                                                     (if (<=
                                                                                          y.re
                                                                                          2.02e+136)
                                                                                       t_7
                                                                                       (if (<=
                                                                                            y.re
                                                                                            2.1e+163)
                                                                                         (/
                                                                                          x.re
                                                                                          y.re)
                                                                                         (if (<=
                                                                                              y.re
                                                                                              2.15e+163)
                                                                                           (/
                                                                                            x.im
                                                                                            y.im)
                                                                                           (if (<=
                                                                                                y.re
                                                                                                2.7e+171)
                                                                                             (/
                                                                                              x.re
                                                                                              y.re)
                                                                                             (if (<=
                                                                                                  y.re
                                                                                                  2.8e+171)
                                                                                               t_6
                                                                                               (if (<=
                                                                                                    y.re
                                                                                                    2.2e+198)
                                                                                                 (/
                                                                                                  x.re
                                                                                                  y.re)
                                                                                                 (if (<=
                                                                                                      y.re
                                                                                                      2.3e+198)
                                                                                                   (/
                                                                                                    x.im
                                                                                                    y.im)
                                                                                                   (if (<=
                                                                                                        y.re
                                                                                                        2.9e+207)
                                                                                                     t_3
                                                                                                     (if (<=
                                                                                                          y.re
                                                                                                          3e+207)
                                                                                                       t_6
                                                                                                       (if (<=
                                                                                                            y.re
                                                                                                            2.35e+224)
                                                                                                         (/
                                                                                                          x.re
                                                                                                          y.re)
                                                                                                         (if (<=
                                                                                                              y.re
                                                                                                              2.4e+224)
                                                                                                           (/
                                                                                                            x.im
                                                                                                            y.im)
                                                                                                           t_0))))))))))))))))))))))))))))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = x_46_re * (y_46_re / y_46_im);
	double t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_5 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	double t_6 = (x_46_im + t_1) / y_46_im;
	double t_7 = t_1 / y_46_im;
	double tmp;
	if (y_46_re <= -7.2e-51) {
		tmp = t_3;
	} else if (y_46_re <= -1.6e-76) {
		tmp = t_6;
	} else if (y_46_re <= -2e-80) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -5e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -3.4e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -2.8e-95) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.7e-103) {
		tmp = (x_46_im * y_46_im) / t_5;
	} else if (y_46_re <= -1.6e-105) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_6;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_6;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_0;
	} else if (y_46_re <= -3e-297) {
		tmp = t_6;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_4;
	} else if (y_46_re <= 4e-263) {
		tmp = t_0;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_2;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_6;
	} else if (y_46_re <= 7.5e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_2;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_4;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_3;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_6;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_6;
	} else if (y_46_re <= 1.15e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.6e-85) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.2e-84) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 6e-24) {
		tmp = (x_46_re * y_46_re) / t_5;
	} else if (y_46_re <= 175000000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 5.2e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.08e+35) {
		tmp = t_0;
	} else if (y_46_re <= 3.95e+37) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.55e+78) {
		tmp = t_0;
	} else if (y_46_re <= 1.62e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_3;
	} else if (y_46_re <= 5.8e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_7;
	} else if (y_46_re <= 2e+136) {
		tmp = t_0;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_7;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_6;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_3;
	} else if (y_46_re <= 3e+207) {
		tmp = t_6;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_0 = (x_46re + (x_46im * (y_46im / y_46re))) / y_46re
    t_1 = x_46re * (y_46re / y_46im)
    t_2 = x_46re * ((y_46re / y_46im) / y_46im)
    t_3 = (x_46re + (y_46im * (x_46im / y_46re))) / y_46re
    t_4 = (x_46im + ((x_46re * y_46re) / y_46im)) / y_46im
    t_5 = (y_46re * y_46re) + (y_46im * y_46im)
    t_6 = (x_46im + t_1) / y_46im
    t_7 = t_1 / y_46im
    if (y_46re <= (-7.2d-51)) then
        tmp = t_3
    else if (y_46re <= (-1.6d-76)) then
        tmp = t_6
    else if (y_46re <= (-2d-80)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-5d-81)) then
        tmp = 1.0d0 / (y_46im / (y_46re * (x_46re / y_46im)))
    else if (y_46re <= (-3.4d-81)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-2.8d-95)) then
        tmp = x_46im / y_46im
    else if (y_46re <= (-1.7d-103)) then
        tmp = (x_46im * y_46im) / t_5
    else if (y_46re <= (-1.6d-105)) then
        tmp = (x_46re + (x_46im / (y_46re / y_46im))) / y_46re
    else if (y_46re <= (-1.55d-170)) then
        tmp = t_6
    else if (y_46re <= (-1.5d-170)) then
        tmp = x_46re / y_46re
    else if (y_46re <= (-7d-194)) then
        tmp = t_6
    else if (y_46re <= (-1.45d-198)) then
        tmp = t_0
    else if (y_46re <= (-3d-297)) then
        tmp = t_6
    else if (y_46re <= 2.25d-263) then
        tmp = t_4
    else if (y_46re <= 4d-263) then
        tmp = t_0
    else if (y_46re <= 2.1d-262) then
        tmp = t_2
    else if (y_46re <= 1.3d-210) then
        tmp = t_6
    else if (y_46re <= 7.5d-210) then
        tmp = x_46re / y_46re
    else if (y_46re <= 7d-207) then
        tmp = t_2
    else if (y_46re <= 4.1d-165) then
        tmp = t_4
    else if (y_46re <= 8.4d-150) then
        tmp = t_3
    else if (y_46re <= 8.5d-123) then
        tmp = t_6
    else if (y_46re <= 9d-123) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.05d-102) then
        tmp = t_6
    else if (y_46re <= 1.15d-98) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.6d-85) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.2d-84) then
        tmp = x_46re / y_46re
    else if (y_46re <= 6d-24) then
        tmp = (x_46re * y_46re) / t_5
    else if (y_46re <= 175000000000.0d0) then
        tmp = x_46re / y_46re
    else if (y_46re <= 5.2d+19) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.08d+35) then
        tmp = t_0
    else if (y_46re <= 3.95d+37) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.2d+57) then
        tmp = t_0
    else if (y_46re <= 1.25d+57) then
        tmp = x_46im / y_46im
    else if (y_46re <= 1.55d+78) then
        tmp = t_0
    else if (y_46re <= 1.62d+78) then
        tmp = x_46im / y_46im
    else if (y_46re <= 5.5d+101) then
        tmp = t_3
    else if (y_46re <= 5.8d+101) then
        tmp = x_46im / y_46im
    else if (y_46re <= 3.5d+117) then
        tmp = x_46re / y_46re
    else if (y_46re <= 3.6d+117) then
        tmp = t_7
    else if (y_46re <= 2d+136) then
        tmp = t_0
    else if (y_46re <= 2.02d+136) then
        tmp = t_7
    else if (y_46re <= 2.1d+163) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.15d+163) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.7d+171) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.8d+171) then
        tmp = t_6
    else if (y_46re <= 2.2d+198) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.3d+198) then
        tmp = x_46im / y_46im
    else if (y_46re <= 2.9d+207) then
        tmp = t_3
    else if (y_46re <= 3d+207) then
        tmp = t_6
    else if (y_46re <= 2.35d+224) then
        tmp = x_46re / y_46re
    else if (y_46re <= 2.4d+224) then
        tmp = x_46im / y_46im
    else
        tmp = t_0
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	double t_1 = x_46_re * (y_46_re / y_46_im);
	double t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	double t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	double t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	double t_5 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	double t_6 = (x_46_im + t_1) / y_46_im;
	double t_7 = t_1 / y_46_im;
	double tmp;
	if (y_46_re <= -7.2e-51) {
		tmp = t_3;
	} else if (y_46_re <= -1.6e-76) {
		tmp = t_6;
	} else if (y_46_re <= -2e-80) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -5e-81) {
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	} else if (y_46_re <= -3.4e-81) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -2.8e-95) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= -1.7e-103) {
		tmp = (x_46_im * y_46_im) / t_5;
	} else if (y_46_re <= -1.6e-105) {
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	} else if (y_46_re <= -1.55e-170) {
		tmp = t_6;
	} else if (y_46_re <= -1.5e-170) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= -7e-194) {
		tmp = t_6;
	} else if (y_46_re <= -1.45e-198) {
		tmp = t_0;
	} else if (y_46_re <= -3e-297) {
		tmp = t_6;
	} else if (y_46_re <= 2.25e-263) {
		tmp = t_4;
	} else if (y_46_re <= 4e-263) {
		tmp = t_0;
	} else if (y_46_re <= 2.1e-262) {
		tmp = t_2;
	} else if (y_46_re <= 1.3e-210) {
		tmp = t_6;
	} else if (y_46_re <= 7.5e-210) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 7e-207) {
		tmp = t_2;
	} else if (y_46_re <= 4.1e-165) {
		tmp = t_4;
	} else if (y_46_re <= 8.4e-150) {
		tmp = t_3;
	} else if (y_46_re <= 8.5e-123) {
		tmp = t_6;
	} else if (y_46_re <= 9e-123) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.05e-102) {
		tmp = t_6;
	} else if (y_46_re <= 1.15e-98) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.6e-85) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.2e-84) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 6e-24) {
		tmp = (x_46_re * y_46_re) / t_5;
	} else if (y_46_re <= 175000000000.0) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 5.2e+19) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.08e+35) {
		tmp = t_0;
	} else if (y_46_re <= 3.95e+37) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.2e+57) {
		tmp = t_0;
	} else if (y_46_re <= 1.25e+57) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 1.55e+78) {
		tmp = t_0;
	} else if (y_46_re <= 1.62e+78) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 5.5e+101) {
		tmp = t_3;
	} else if (y_46_re <= 5.8e+101) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 3.5e+117) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 3.6e+117) {
		tmp = t_7;
	} else if (y_46_re <= 2e+136) {
		tmp = t_0;
	} else if (y_46_re <= 2.02e+136) {
		tmp = t_7;
	} else if (y_46_re <= 2.1e+163) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.15e+163) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.7e+171) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.8e+171) {
		tmp = t_6;
	} else if (y_46_re <= 2.2e+198) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.3e+198) {
		tmp = x_46_im / y_46_im;
	} else if (y_46_re <= 2.9e+207) {
		tmp = t_3;
	} else if (y_46_re <= 3e+207) {
		tmp = t_6;
	} else if (y_46_re <= 2.35e+224) {
		tmp = x_46_re / y_46_re;
	} else if (y_46_re <= 2.4e+224) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = t_0;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re
	t_1 = x_46_re * (y_46_re / y_46_im)
	t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im)
	t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re
	t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im
	t_5 = (y_46_re * y_46_re) + (y_46_im * y_46_im)
	t_6 = (x_46_im + t_1) / y_46_im
	t_7 = t_1 / y_46_im
	tmp = 0
	if y_46_re <= -7.2e-51:
		tmp = t_3
	elif y_46_re <= -1.6e-76:
		tmp = t_6
	elif y_46_re <= -2e-80:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -5e-81:
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)))
	elif y_46_re <= -3.4e-81:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -2.8e-95:
		tmp = x_46_im / y_46_im
	elif y_46_re <= -1.7e-103:
		tmp = (x_46_im * y_46_im) / t_5
	elif y_46_re <= -1.6e-105:
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re
	elif y_46_re <= -1.55e-170:
		tmp = t_6
	elif y_46_re <= -1.5e-170:
		tmp = x_46_re / y_46_re
	elif y_46_re <= -7e-194:
		tmp = t_6
	elif y_46_re <= -1.45e-198:
		tmp = t_0
	elif y_46_re <= -3e-297:
		tmp = t_6
	elif y_46_re <= 2.25e-263:
		tmp = t_4
	elif y_46_re <= 4e-263:
		tmp = t_0
	elif y_46_re <= 2.1e-262:
		tmp = t_2
	elif y_46_re <= 1.3e-210:
		tmp = t_6
	elif y_46_re <= 7.5e-210:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 7e-207:
		tmp = t_2
	elif y_46_re <= 4.1e-165:
		tmp = t_4
	elif y_46_re <= 8.4e-150:
		tmp = t_3
	elif y_46_re <= 8.5e-123:
		tmp = t_6
	elif y_46_re <= 9e-123:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.05e-102:
		tmp = t_6
	elif y_46_re <= 1.15e-98:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.6e-85:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.2e-84:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 6e-24:
		tmp = (x_46_re * y_46_re) / t_5
	elif y_46_re <= 175000000000.0:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 5.2e+19:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.08e+35:
		tmp = t_0
	elif y_46_re <= 3.95e+37:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.2e+57:
		tmp = t_0
	elif y_46_re <= 1.25e+57:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 1.55e+78:
		tmp = t_0
	elif y_46_re <= 1.62e+78:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 5.5e+101:
		tmp = t_3
	elif y_46_re <= 5.8e+101:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 3.5e+117:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 3.6e+117:
		tmp = t_7
	elif y_46_re <= 2e+136:
		tmp = t_0
	elif y_46_re <= 2.02e+136:
		tmp = t_7
	elif y_46_re <= 2.1e+163:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.15e+163:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.7e+171:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.8e+171:
		tmp = t_6
	elif y_46_re <= 2.2e+198:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.3e+198:
		tmp = x_46_im / y_46_im
	elif y_46_re <= 2.9e+207:
		tmp = t_3
	elif y_46_re <= 3e+207:
		tmp = t_6
	elif y_46_re <= 2.35e+224:
		tmp = x_46_re / y_46_re
	elif y_46_re <= 2.4e+224:
		tmp = x_46_im / y_46_im
	else:
		tmp = t_0
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(x_46_re + Float64(x_46_im * Float64(y_46_im / y_46_re))) / y_46_re)
	t_1 = Float64(x_46_re * Float64(y_46_re / y_46_im))
	t_2 = Float64(x_46_re * Float64(Float64(y_46_re / y_46_im) / y_46_im))
	t_3 = Float64(Float64(x_46_re + Float64(y_46_im * Float64(x_46_im / y_46_re))) / y_46_re)
	t_4 = Float64(Float64(x_46_im + Float64(Float64(x_46_re * y_46_re) / y_46_im)) / y_46_im)
	t_5 = Float64(Float64(y_46_re * y_46_re) + Float64(y_46_im * y_46_im))
	t_6 = Float64(Float64(x_46_im + t_1) / y_46_im)
	t_7 = Float64(t_1 / y_46_im)
	tmp = 0.0
	if (y_46_re <= -7.2e-51)
		tmp = t_3;
	elseif (y_46_re <= -1.6e-76)
		tmp = t_6;
	elseif (y_46_re <= -2e-80)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -5e-81)
		tmp = Float64(1.0 / Float64(y_46_im / Float64(y_46_re * Float64(x_46_re / y_46_im))));
	elseif (y_46_re <= -3.4e-81)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -2.8e-95)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= -1.7e-103)
		tmp = Float64(Float64(x_46_im * y_46_im) / t_5);
	elseif (y_46_re <= -1.6e-105)
		tmp = Float64(Float64(x_46_re + Float64(x_46_im / Float64(y_46_re / y_46_im))) / y_46_re);
	elseif (y_46_re <= -1.55e-170)
		tmp = t_6;
	elseif (y_46_re <= -1.5e-170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= -7e-194)
		tmp = t_6;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_0;
	elseif (y_46_re <= -3e-297)
		tmp = t_6;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_4;
	elseif (y_46_re <= 4e-263)
		tmp = t_0;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_2;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_6;
	elseif (y_46_re <= 7.5e-210)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 7e-207)
		tmp = t_2;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_4;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_3;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_6;
	elseif (y_46_re <= 9e-123)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.05e-102)
		tmp = t_6;
	elseif (y_46_re <= 1.15e-98)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.6e-85)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.2e-84)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 6e-24)
		tmp = Float64(Float64(x_46_re * y_46_re) / t_5);
	elseif (y_46_re <= 175000000000.0)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 5.2e+19)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.08e+35)
		tmp = t_0;
	elseif (y_46_re <= 3.95e+37)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.2e+57)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+57)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 1.55e+78)
		tmp = t_0;
	elseif (y_46_re <= 1.62e+78)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 5.5e+101)
		tmp = t_3;
	elseif (y_46_re <= 5.8e+101)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 3.5e+117)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 3.6e+117)
		tmp = t_7;
	elseif (y_46_re <= 2e+136)
		tmp = t_0;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_7;
	elseif (y_46_re <= 2.1e+163)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.15e+163)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.7e+171)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.8e+171)
		tmp = t_6;
	elseif (y_46_re <= 2.2e+198)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.3e+198)
		tmp = Float64(x_46_im / y_46_im);
	elseif (y_46_re <= 2.9e+207)
		tmp = t_3;
	elseif (y_46_re <= 3e+207)
		tmp = t_6;
	elseif (y_46_re <= 2.35e+224)
		tmp = Float64(x_46_re / y_46_re);
	elseif (y_46_re <= 2.4e+224)
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = t_0;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = (x_46_re + (x_46_im * (y_46_im / y_46_re))) / y_46_re;
	t_1 = x_46_re * (y_46_re / y_46_im);
	t_2 = x_46_re * ((y_46_re / y_46_im) / y_46_im);
	t_3 = (x_46_re + (y_46_im * (x_46_im / y_46_re))) / y_46_re;
	t_4 = (x_46_im + ((x_46_re * y_46_re) / y_46_im)) / y_46_im;
	t_5 = (y_46_re * y_46_re) + (y_46_im * y_46_im);
	t_6 = (x_46_im + t_1) / y_46_im;
	t_7 = t_1 / y_46_im;
	tmp = 0.0;
	if (y_46_re <= -7.2e-51)
		tmp = t_3;
	elseif (y_46_re <= -1.6e-76)
		tmp = t_6;
	elseif (y_46_re <= -2e-80)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -5e-81)
		tmp = 1.0 / (y_46_im / (y_46_re * (x_46_re / y_46_im)));
	elseif (y_46_re <= -3.4e-81)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -2.8e-95)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= -1.7e-103)
		tmp = (x_46_im * y_46_im) / t_5;
	elseif (y_46_re <= -1.6e-105)
		tmp = (x_46_re + (x_46_im / (y_46_re / y_46_im))) / y_46_re;
	elseif (y_46_re <= -1.55e-170)
		tmp = t_6;
	elseif (y_46_re <= -1.5e-170)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= -7e-194)
		tmp = t_6;
	elseif (y_46_re <= -1.45e-198)
		tmp = t_0;
	elseif (y_46_re <= -3e-297)
		tmp = t_6;
	elseif (y_46_re <= 2.25e-263)
		tmp = t_4;
	elseif (y_46_re <= 4e-263)
		tmp = t_0;
	elseif (y_46_re <= 2.1e-262)
		tmp = t_2;
	elseif (y_46_re <= 1.3e-210)
		tmp = t_6;
	elseif (y_46_re <= 7.5e-210)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 7e-207)
		tmp = t_2;
	elseif (y_46_re <= 4.1e-165)
		tmp = t_4;
	elseif (y_46_re <= 8.4e-150)
		tmp = t_3;
	elseif (y_46_re <= 8.5e-123)
		tmp = t_6;
	elseif (y_46_re <= 9e-123)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.05e-102)
		tmp = t_6;
	elseif (y_46_re <= 1.15e-98)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.6e-85)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.2e-84)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 6e-24)
		tmp = (x_46_re * y_46_re) / t_5;
	elseif (y_46_re <= 175000000000.0)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 5.2e+19)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.08e+35)
		tmp = t_0;
	elseif (y_46_re <= 3.95e+37)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.2e+57)
		tmp = t_0;
	elseif (y_46_re <= 1.25e+57)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 1.55e+78)
		tmp = t_0;
	elseif (y_46_re <= 1.62e+78)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 5.5e+101)
		tmp = t_3;
	elseif (y_46_re <= 5.8e+101)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 3.5e+117)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 3.6e+117)
		tmp = t_7;
	elseif (y_46_re <= 2e+136)
		tmp = t_0;
	elseif (y_46_re <= 2.02e+136)
		tmp = t_7;
	elseif (y_46_re <= 2.1e+163)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.15e+163)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.7e+171)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.8e+171)
		tmp = t_6;
	elseif (y_46_re <= 2.2e+198)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.3e+198)
		tmp = x_46_im / y_46_im;
	elseif (y_46_re <= 2.9e+207)
		tmp = t_3;
	elseif (y_46_re <= 3e+207)
		tmp = t_6;
	elseif (y_46_re <= 2.35e+224)
		tmp = x_46_re / y_46_re;
	elseif (y_46_re <= 2.4e+224)
		tmp = x_46_im / y_46_im;
	else
		tmp = t_0;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[(N[(x$46$re + N[(x$46$im * N[(y$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$1 = N[(x$46$re * N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x$46$re * N[(N[(y$46$re / y$46$im), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x$46$re + N[(y$46$im * N[(x$46$im / y$46$re), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x$46$im + N[(N[(x$46$re * y$46$re), $MachinePrecision] / y$46$im), $MachinePrecision]), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y$46$re * y$46$re), $MachinePrecision] + N[(y$46$im * y$46$im), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(x$46$im + t$95$1), $MachinePrecision] / y$46$im), $MachinePrecision]}, Block[{t$95$7 = N[(t$95$1 / y$46$im), $MachinePrecision]}, If[LessEqual[y$46$re, -7.2e-51], t$95$3, If[LessEqual[y$46$re, -1.6e-76], t$95$6, If[LessEqual[y$46$re, -2e-80], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -5e-81], N[(1.0 / N[(y$46$im / N[(y$46$re * N[(x$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y$46$re, -3.4e-81], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -2.8e-95], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, -1.7e-103], N[(N[(x$46$im * y$46$im), $MachinePrecision] / t$95$5), $MachinePrecision], If[LessEqual[y$46$re, -1.6e-105], N[(N[(x$46$re + N[(x$46$im / N[(y$46$re / y$46$im), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -1.55e-170], t$95$6, If[LessEqual[y$46$re, -1.5e-170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, -7e-194], t$95$6, If[LessEqual[y$46$re, -1.45e-198], t$95$0, If[LessEqual[y$46$re, -3e-297], t$95$6, If[LessEqual[y$46$re, 2.25e-263], t$95$4, If[LessEqual[y$46$re, 4e-263], t$95$0, If[LessEqual[y$46$re, 2.1e-262], t$95$2, If[LessEqual[y$46$re, 1.3e-210], t$95$6, If[LessEqual[y$46$re, 7.5e-210], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 7e-207], t$95$2, If[LessEqual[y$46$re, 4.1e-165], t$95$4, If[LessEqual[y$46$re, 8.4e-150], t$95$3, If[LessEqual[y$46$re, 8.5e-123], t$95$6, If[LessEqual[y$46$re, 9e-123], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.05e-102], t$95$6, If[LessEqual[y$46$re, 1.15e-98], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.6e-85], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.2e-84], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 6e-24], N[(N[(x$46$re * y$46$re), $MachinePrecision] / t$95$5), $MachinePrecision], If[LessEqual[y$46$re, 175000000000.0], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 5.2e+19], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.08e+35], t$95$0, If[LessEqual[y$46$re, 3.95e+37], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.2e+57], t$95$0, If[LessEqual[y$46$re, 1.25e+57], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 1.55e+78], t$95$0, If[LessEqual[y$46$re, 1.62e+78], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 5.5e+101], t$95$3, If[LessEqual[y$46$re, 5.8e+101], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 3.5e+117], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 3.6e+117], t$95$7, If[LessEqual[y$46$re, 2e+136], t$95$0, If[LessEqual[y$46$re, 2.02e+136], t$95$7, If[LessEqual[y$46$re, 2.1e+163], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.15e+163], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.7e+171], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.8e+171], t$95$6, If[LessEqual[y$46$re, 2.2e+198], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.3e+198], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[y$46$re, 2.9e+207], t$95$3, If[LessEqual[y$46$re, 3e+207], t$95$6, If[LessEqual[y$46$re, 2.35e+224], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[y$46$re, 2.4e+224], N[(x$46$im / y$46$im), $MachinePrecision], t$95$0]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y.re < -7.2000000000000001e-51 or 4.1000000000000002e-165 < y.re < 8.4000000000000004e-150 or 1.6199999999999999e78 < y.re < 5.50000000000000018e101 or 2.3000000000000001e198 < y.re < 2.89999999999999997e207

   1. Initial program 54.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 82.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 84.5%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 84.5%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 84.5%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 84.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 84.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]
   8. Step-by-step derivation

      1. associate-/r/ 85.6%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   9. Applied egg-rr 85.6%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{y.re} \cdot y.im}}{y.re} \]

   if -7.2000000000000001e-51 < y.re < -1.5999999999999999e-76 or -1.59999999999999991e-105 < y.re < -1.54999999999999993e-170 or -1.50000000000000007e-170 < y.re < -7.0000000000000006e-194 or -1.45e-198 < y.re < -2.99999999999999995e-297 or 2.1e-262 < y.re < 1.2999999999999999e-210 or 8.4000000000000004e-150 < y.re < 8.4999999999999995e-123 or 8.99999999999999986e-123 < y.re < 3.0499999999999999e-102 or 2.6999999999999998e171 < y.re < 2.80000000000000004e171 or 2.89999999999999997e207 < y.re < 2.99999999999999983e207

   1. Initial program 65.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.5%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.6%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.6%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   if -1.5999999999999999e-76 < y.re < -1.99999999999999992e-80 or -4.99999999999999981e-81 < y.re < -3.3999999999999999e-81 or -1.54999999999999993e-170 < y.re < -1.50000000000000007e-170 or 1.2999999999999999e-210 < y.re < 7.4999999999999997e-210 or 8.4999999999999995e-123 < y.re < 8.99999999999999986e-123 or 3.0499999999999999e-102 < y.re < 1.15e-98 or 2.60000000000000011e-85 < y.re < 3.1999999999999999e-84 or 5.99999999999999991e-24 < y.re < 1.75e11 or 5.79999999999999974e101 < y.re < 3.49999999999999983e117 or 2.02000000000000002e136 < y.re < 2.1e163 or 2.1500000000000001e163 < y.re < 2.6999999999999998e171 or 2.80000000000000004e171 < y.re < 2.2e198 or 2.99999999999999983e207 < y.re < 2.3500000000000001e224

   1. Initial program 70.1%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if -1.99999999999999992e-80 < y.re < -4.99999999999999981e-81

   1. Initial program 98.4%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]
   6. Step-by-step derivation

      1. clear-num 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}}} \]

      2. inv-pow 100.0%

         \[\leadsto \color{blue}{{\left(\frac{y.im}{x.im + x.re \cdot \frac{y.re}{y.im}}\right)}^{-1}} \]

      3. +-commutative 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{x.re \cdot \frac{y.re}{y.im} + x.im}}\right)}^{-1} \]

      4. fma-define 100.0%

         \[\leadsto {\left(\frac{y.im}{\color{blue}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}\right)}^{-1} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{{\left(\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}\right)}^{-1}} \]
   8. Step-by-step derivation

      1. unpow-1 100.0%

         \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{1}{\frac{y.im}{\mathsf{fma}\left(x.re, \frac{y.re}{y.im}, x.im\right)}}} \]

   10. Taylor expanded in x.re around inf 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{\frac{x.re \cdot y.re}{y.im}}}} \]
   11. Step-by-step derivation

       1. *-commutative 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\frac{\color{blue}{y.re \cdot x.re}}{y.im}}} \]

       2. associate-/l* 100.0%

          \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   12. Simplified 100.0%

       \[\leadsto \frac{1}{\frac{y.im}{\color{blue}{y.re \cdot \frac{x.re}{y.im}}}} \]

   if -3.3999999999999999e-81 < y.re < -2.7999999999999999e-95 or 1.15e-98 < y.re < 2.60000000000000011e-85 or 1.75e11 < y.re < 5.2e19 or 1.08e35 < y.re < 3.9500000000000001e37 or 1.20000000000000002e57 < y.re < 1.24999999999999993e57 or 1.55e78 < y.re < 1.6199999999999999e78 or 5.50000000000000018e101 < y.re < 5.79999999999999974e101 or 2.1e163 < y.re < 2.1500000000000001e163 or 2.2e198 < y.re < 2.3000000000000001e198 or 2.3500000000000001e224 < y.re < 2.40000000000000001e224

   1. Initial program 32.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 100.0%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if -2.7999999999999999e-95 < y.re < -1.70000000000000001e-103

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around 0 100.0%

      \[\leadsto \frac{\color{blue}{x.im \cdot y.im}}{y.re \cdot y.re + y.im \cdot y.im} \]

   if -1.70000000000000001e-103 < y.re < -1.59999999999999991e-105

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]
   6. Step-by-step derivation

      1. clear-num 99.2%

         \[\leadsto \frac{x.re + x.im \cdot \color{blue}{\frac{1}{\frac{y.re}{y.im}}}}{y.re} \]

      2. un-div-inv 100.0%

         \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   7. Applied egg-rr 100.0%

      \[\leadsto \frac{x.re + \color{blue}{\frac{x.im}{\frac{y.re}{y.im}}}}{y.re} \]

   if -7.0000000000000006e-194 < y.re < -1.45e-198 or 2.2499999999999999e-263 < y.re < 4e-263 or 5.2e19 < y.re < 1.08e35 or 3.9500000000000001e37 < y.re < 1.20000000000000002e57 or 1.24999999999999993e57 < y.re < 1.55e78 or 3.60000000000000013e117 < y.re < 2.00000000000000012e136 or 2.40000000000000001e224 < y.re

   1. Initial program 55.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 92.2%

      \[\leadsto \color{blue}{\frac{x.re + \frac{x.im \cdot y.im}{y.re}}{y.re}} \]
   4. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \frac{x.re + \color{blue}{x.im \cdot \frac{y.im}{y.re}}}{y.re} \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}} \]

   if -2.99999999999999995e-297 < y.re < 2.2499999999999999e-263 or 7.0000000000000003e-207 < y.re < 4.1000000000000002e-165

   1. Initial program 91.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 100.0%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]

   if 4e-263 < y.re < 2.1e-262 or 7.4999999999999997e-210 < y.re < 7.0000000000000003e-207

   1. Initial program 99.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 98.4%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 98.4%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 99.2%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 100.0%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 100.0%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 100.0%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. associate-*l/ 100.0%

          \[\leadsto x.re \cdot \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \]

       2. *-un-lft-identity 100.0%

          \[\leadsto x.re \cdot \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \]

   12. Applied egg-rr 100.0%

       \[\leadsto x.re \cdot \color{blue}{\frac{\frac{y.re}{y.im}}{y.im}} \]

   if 3.1999999999999999e-84 < y.re < 5.99999999999999991e-24

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in x.re around inf 100.0%

      \[\leadsto \frac{\color{blue}{x.re \cdot y.re}}{y.re \cdot y.re + y.im \cdot y.im} \]
   4. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   5. Simplified 100.0%

      \[\leadsto \frac{\color{blue}{y.re \cdot x.re}}{y.re \cdot y.re + y.im \cdot y.im} \]

   if 3.49999999999999983e117 < y.re < 3.60000000000000013e117 or 2.00000000000000012e136 < y.re < 2.02000000000000002e136

   1. Initial program 1.9%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.im around inf 2.7%

      \[\leadsto \color{blue}{\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}} \]
   4. Step-by-step derivation

      1. associate-/l* 99.2%

         \[\leadsto \frac{x.im + \color{blue}{x.re \cdot \frac{y.re}{y.im}}}{y.im} \]

   5. Simplified 99.2%

      \[\leadsto \color{blue}{\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}} \]

   6. Taylor expanded in x.im around 0 1.9%

      \[\leadsto \color{blue}{\frac{x.re \cdot y.re}{{y.im}^{2}}} \]
   7. Step-by-step derivation

      1. associate-/l* 54.5%

         \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]

   8. Simplified 54.5%

      \[\leadsto \color{blue}{x.re \cdot \frac{y.re}{{y.im}^{2}}} \]
   9. Step-by-step derivation

      1. *-un-lft-identity 54.5%

         \[\leadsto x.re \cdot \frac{\color{blue}{1 \cdot y.re}}{{y.im}^{2}} \]

      2. unpow2 54.5%

         \[\leadsto x.re \cdot \frac{1 \cdot y.re}{\color{blue}{y.im \cdot y.im}} \]

      3. times-frac 53.7%

         \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]

   10. Applied egg-rr 53.7%

       \[\leadsto x.re \cdot \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right)} \]
   11. Step-by-step derivation

       1. *-commutative 53.7%

          \[\leadsto \color{blue}{\left(\frac{1}{y.im} \cdot \frac{y.re}{y.im}\right) \cdot x.re} \]

       2. associate-*l/ 53.7%

          \[\leadsto \color{blue}{\frac{1 \cdot \frac{y.re}{y.im}}{y.im}} \cdot x.re \]

       3. *-un-lft-identity 53.7%

          \[\leadsto \frac{\color{blue}{\frac{y.re}{y.im}}}{y.im} \cdot x.re \]

       4. associate-*l/ 99.2%

          \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]

   12. Applied egg-rr 99.2%

       \[\leadsto \color{blue}{\frac{\frac{y.re}{y.im} \cdot x.re}{y.im}} \]
3. Recombined 12 regimes into one program.

4. Final simplification 94.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y.re \leq -7.2 \cdot 10^{-51}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-76}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -2 \cdot 10^{-80}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -5 \cdot 10^{-81}:\\ \;\;\;\;\frac{1}{\frac{y.im}{y.re \cdot \frac{x.re}{y.im}}}\\ \mathbf{elif}\;y.re \leq -3.4 \cdot 10^{-81}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -2.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq -1.7 \cdot 10^{-103}:\\ \;\;\;\;\frac{x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.re \leq -1.6 \cdot 10^{-105}:\\ \;\;\;\;\frac{x.re + \frac{x.im}{\frac{y.re}{y.im}}}{y.re}\\ \mathbf{elif}\;y.re \leq -1.55 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq -7 \cdot 10^{-194}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq -1.45 \cdot 10^{-198}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq -3 \cdot 10^{-297}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.25 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 4 \cdot 10^{-263}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{-262}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 7.5 \cdot 10^{-210}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 7 \cdot 10^{-207}:\\ \;\;\;\;x.re \cdot \frac{\frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 4.1 \cdot 10^{-165}:\\ \;\;\;\;\frac{x.im + \frac{x.re \cdot y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 8.4 \cdot 10^{-150}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 8.5 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 9 \cdot 10^{-123}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.05 \cdot 10^{-102}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 1.15 \cdot 10^{-98}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.6 \cdot 10^{-85}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.2 \cdot 10^{-84}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 6 \cdot 10^{-24}:\\ \;\;\;\;\frac{x.re \cdot y.re}{y.re \cdot y.re + y.im \cdot y.im}\\ \mathbf{elif}\;y.re \leq 175000000000:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 5.2 \cdot 10^{+19}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.08 \cdot 10^{+35}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3.95 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.2 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.25 \cdot 10^{+57}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 1.55 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 1.62 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 5.5 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 5.8 \cdot 10^{+101}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 3.5 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 3.6 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 2.02 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.1 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.15 \cdot 10^{+163}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.7 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.8 \cdot 10^{+171}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.2 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.3 \cdot 10^{+198}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;y.re \leq 2.9 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.re + y.im \cdot \frac{x.im}{y.re}}{y.re}\\ \mathbf{elif}\;y.re \leq 3 \cdot 10^{+207}:\\ \;\;\;\;\frac{x.im + x.re \cdot \frac{y.re}{y.im}}{y.im}\\ \mathbf{elif}\;y.re \leq 2.35 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;y.re \leq 2.4 \cdot 10^{+224}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re + x.im \cdot \frac{y.im}{y.re}}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 44.0% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{-x.im}{y.re}\\ \mathbf{if}\;x.im \leq 7 \cdot 10^{-57}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 8.1 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{-y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+28}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+35}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.35 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{+134}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.7 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.55 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+263}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;\neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 2.1 \cdot 10^{+299}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (let* ((t_0 (/ (- x.im) y.re)))
   (if (<= x.im 7e-57)
     (/ x.re y.re)
     (if (<= x.im 3.5e-25)
       (/ x.im y.im)
       (if (<= x.im 8.1e-25)
         (/ x.im (- y.im))
         (if (<= x.im 1.4e-13)
           (/ x.im y.re)
           (if (<= x.im 3.2e+28)
             (/ x.re y.re)
             (if (<= x.im 1.7e+35)
               (/ x.im y.im)
               (if (<= x.im 9e+46)
                 (/ x.re y.re)
                 (if (<= x.im 9.5e+46)
                   (/ x.im y.re)
                   (if (<= x.im 2.35e+78)
                     (/ x.re y.re)
                     (if (<= x.im 3.7e+117)
                       (/ x.im y.im)
                       (if (<= x.im 3.8e+117)
                         t_0
                         (if (<= x.im 7.8e+134)
                           (/ x.re y.re)
                           (if (<= x.im 6.7e+136)
                             (/ x.im y.im)
                             (if (<= x.im 5.8e+170)
                               (/ x.re y.re)
                               (if (<= x.im 6e+170)
                                 (/ x.im y.re)
                                 (if (<= x.im 2.55e+185)
                                   (/ x.re y.re)
                                   (if (<= x.im 5.8e+188)
                                     (/ x.im y.im)
                                     (if (<= x.im 6e+188)
                                       (/ x.im y.re)
                                       (if (<= x.im 1.35e+244)
                                         (/ x.im y.im)
                                         (if (<= x.im 1.4e+244)
                                           (/ x.im y.re)
                                           (if (<= x.im 1.4e+263)
                                             (/ x.im y.im)
                                             (if (<= x.im 2.6e+271)
                                               (/ x.re y.re)
                                               (if (<= x.im 1.7e+276)
                                                 (/ x.im y.im)
                                                 (if (<= x.im 1.26e+277)
                                                   t_0
                                                   (if (and (not
                                                             (<= x.im 2e+299))
                                                            (<= x.im 2.1e+299))
                                                     (/ x.re y.re)
                                                     (/
                                                      x.im
                                                      y.im))))))))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double tmp;
	if (x_46_im <= 7e-57) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 8.1e-25) {
		tmp = x_46_im / -y_46_im;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.2e+28) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+35) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.35e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 7.8e+134) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.7e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.55e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.4e+263) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.6e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299)) {
		tmp = x_46_re / y_46_re;
	} else {
		tmp = x_46_im / y_46_im;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: t_0
    real(8) :: tmp
    t_0 = -x_46im / y_46re
    if (x_46im <= 7d-57) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.5d-25) then
        tmp = x_46im / y_46im
    else if (x_46im <= 8.1d-25) then
        tmp = x_46im / -y_46im
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 3.2d+28) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d+35) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 2.35d+78) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.7d+117) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.8d+117) then
        tmp = t_0
    else if (x_46im <= 7.8d+134) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.7d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 2.55d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.4d+263) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2.6d+271) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.7d+276) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.26d+277) then
        tmp = t_0
    else if ((.not. (x_46im <= 2d+299)) .and. (x_46im <= 2.1d+299)) then
        tmp = x_46re / y_46re
    else
        tmp = x_46im / y_46im
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double t_0 = -x_46_im / y_46_re;
	double tmp;
	if (x_46_im <= 7e-57) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 8.1e-25) {
		tmp = x_46_im / -y_46_im;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.2e+28) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+35) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.35e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.7e+117) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.8e+117) {
		tmp = t_0;
	} else if (x_46_im <= 7.8e+134) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.7e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.55e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.4e+263) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.6e+271) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.7e+276) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.26e+277) {
		tmp = t_0;
	} else if (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299)) {
		tmp = x_46_re / y_46_re;
	} else {
		tmp = x_46_im / y_46_im;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	t_0 = -x_46_im / y_46_re
	tmp = 0
	if x_46_im <= 7e-57:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.5e-25:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 8.1e-25:
		tmp = x_46_im / -y_46_im
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 3.2e+28:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e+35:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 2.35e+78:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.7e+117:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.8e+117:
		tmp = t_0
	elif x_46_im <= 7.8e+134:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.7e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 2.55e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.4e+263:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2.6e+271:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.7e+276:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.26e+277:
		tmp = t_0
	elif not (x_46_im <= 2e+299) and (x_46_im <= 2.1e+299):
		tmp = x_46_re / y_46_re
	else:
		tmp = x_46_im / y_46_im
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = Float64(Float64(-x_46_im) / y_46_re)
	tmp = 0.0
	if (x_46_im <= 7e-57)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.5e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 8.1e-25)
		tmp = Float64(x_46_im / Float64(-y_46_im));
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 3.2e+28)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e+35)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 2.35e+78)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.7e+117)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 7.8e+134)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.7e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 2.55e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.4e+263)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2.6e+271)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.7e+276)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299))
		tmp = Float64(x_46_re / y_46_re);
	else
		tmp = Float64(x_46_im / y_46_im);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	t_0 = -x_46_im / y_46_re;
	tmp = 0.0;
	if (x_46_im <= 7e-57)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.5e-25)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 8.1e-25)
		tmp = x_46_im / -y_46_im;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 3.2e+28)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e+35)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 2.35e+78)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.7e+117)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.8e+117)
		tmp = t_0;
	elseif (x_46_im <= 7.8e+134)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.7e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 2.55e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.4e+263)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2.6e+271)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.7e+276)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.26e+277)
		tmp = t_0;
	elseif (~((x_46_im <= 2e+299)) && (x_46_im <= 2.1e+299))
		tmp = x_46_re / y_46_re;
	else
		tmp = x_46_im / y_46_im;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := Block[{t$95$0 = N[((-x$46$im) / y$46$re), $MachinePrecision]}, If[LessEqual[x$46$im, 7e-57], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.5e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 8.1e-25], N[(x$46$im / (-y$46$im)), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.2e+28], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+35], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.35e+78], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.7e+117], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.8e+117], t$95$0, If[LessEqual[x$46$im, 7.8e+134], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.7e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.55e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+263], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2.6e+271], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.7e+276], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.26e+277], t$95$0, If[And[N[Not[LessEqual[x$46$im, 2e+299]], $MachinePrecision], LessEqual[x$46$im, 2.1e+299]], N[(x$46$re / y$46$re), $MachinePrecision], N[(x$46$im / y$46$im), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if x.im < 6.99999999999999983e-57 or 1.4000000000000001e-13 < x.im < 3.2e28 or 1.7000000000000001e35 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 2.35000000000000003e78 or 3.8000000000000002e117 < x.im < 7.79999999999999967e134 or 6.7e136 < x.im < 5.8000000000000001e170 or 5.99999999999999994e170 < x.im < 2.54999999999999998e185 or 1.3999999999999999e263 < x.im < 2.5999999999999998e271 or 2.0000000000000001e299 < x.im < 2.1e299

   1. Initial program 65.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 57.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if 6.99999999999999983e-57 < x.im < 3.5000000000000002e-25 or 3.2e28 < x.im < 1.7000000000000001e35 or 2.35000000000000003e78 < x.im < 3.6999999999999999e117 or 7.79999999999999967e134 < x.im < 6.7e136 or 2.54999999999999998e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 1.3999999999999999e263 or 2.5999999999999998e271 < x.im < 1.69999999999999992e276 or 1.25999999999999995e277 < x.im < 2.0000000000000001e299 or 2.1e299 < x.im

   1. Initial program 37.7%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 94.2%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 3.5000000000000002e-25 < x.im < 8.10000000000000002e-25

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 100.0%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 100.0%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 100.0%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 100.0%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 100.0%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 5.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 5.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 5.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around 0 5.7%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.im}} \]
   9. Step-by-step derivation

      1. neg-mul-1 5.7%

         \[\leadsto \color{blue}{-\frac{x.im}{y.im}} \]

      2. distribute-neg-frac2 5.7%

         \[\leadsto \color{blue}{\frac{x.im}{-y.im}} \]

   10. Simplified 5.7%

       \[\leadsto \color{blue}{\frac{x.im}{-y.im}} \]

   if 8.10000000000000002e-25 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 5.8000000000000001e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 80.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 80.2%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 80.2%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 80.5%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 80.5%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 80.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 80.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 80.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.1%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.1%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.1%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 7.3%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]

   if 3.6999999999999999e117 < x.im < 3.8000000000000002e117 or 1.69999999999999992e276 < x.im < 1.25999999999999995e277

   1. Initial program 32.8%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 32.8%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 32.8%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 32.8%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 32.8%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 32.8%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 34.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 34.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 3.4%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 3.4%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 3.4%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around inf 7.6%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.re}} \]
   9. Step-by-step derivation

      1. associate-*r/ 7.6%

         \[\leadsto \color{blue}{\frac{-1 \cdot x.im}{y.re}} \]

      2. mul-1-neg 7.6%

         \[\leadsto \frac{\color{blue}{-x.im}}{y.re} \]

   10. Simplified 7.6%

       \[\leadsto \color{blue}{\frac{-x.im}{y.re}} \]
3. Recombined 5 regimes into one program.

4. Final simplification 59.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq 7 \cdot 10^{-57}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 8.1 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{-y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.2 \cdot 10^{+28}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+35}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.35 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.7 \cdot 10^{+117}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.8 \cdot 10^{+117}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 7.8 \cdot 10^{+134}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.7 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.55 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+263}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.6 \cdot 10^{+271}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.7 \cdot 10^{+276}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.26 \cdot 10^{+277}:\\ \;\;\;\;\frac{-x.im}{y.re}\\ \mathbf{elif}\;\neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 2.1 \cdot 10^{+299}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 44.0% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x.im \leq 8.5 \cdot 10^{-58}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-23}:\\ \;\;\;\;\frac{x.im}{-y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 6.5 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.55 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.55 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.9 \cdot 10^{+121}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.9 \cdot 10^{+134}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.5 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 5.6 \cdot 10^{+262} \lor \neg \left(x.im \leq 3.1 \cdot 10^{+271} \lor \neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 2.1 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (if (<= x.im 8.5e-58)
   (/ x.re y.re)
   (if (<= x.im 3.5e-25)
     (/ x.im y.im)
     (if (<= x.im 1.45e-23)
       (/ x.im (- y.im))
       (if (<= x.im 1.4e-13)
         (/ x.im y.re)
         (if (<= x.im 6.5e+25)
           (/ x.re y.re)
           (if (<= x.im 1.55e+37)
             (/ x.im y.im)
             (if (<= x.im 9e+46)
               (/ x.re y.re)
               (if (<= x.im 9.5e+46)
                 (/ x.im y.re)
                 (if (<= x.im 3.55e+78)
                   (/ x.re y.re)
                   (if (<= x.im 3.9e+121)
                     (/ x.im y.im)
                     (if (<= x.im 3.9e+134)
                       (/ x.re y.re)
                       (if (<= x.im 6.2e+136)
                         (/ x.im y.im)
                         (if (<= x.im 5.8e+170)
                           (/ x.re y.re)
                           (if (<= x.im 6e+170)
                             (/ x.im y.re)
                             (if (<= x.im 2.5e+185)
                               (/ x.re y.re)
                               (if (<= x.im 5.8e+188)
                                 (/ x.im y.im)
                                 (if (<= x.im 6e+188)
                                   (/ x.im y.re)
                                   (if (<= x.im 1.35e+244)
                                     (/ x.im y.im)
                                     (if (<= x.im 1.4e+244)
                                       (/ x.im y.re)
                                       (if (or (<= x.im 5.6e+262)
                                               (not
                                                (or (<= x.im 3.1e+271)
                                                    (and (not (<= x.im 2e+299))
                                                         (<= x.im 2.1e+299)))))
                                         (/ x.im y.im)
                                         (/ x.re y.re))))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double tmp;
	if (x_46_im <= 8.5e-58) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-23) {
		tmp = x_46_im / -y_46_im;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 6.5e+25) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.55e+37) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.55e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.9e+121) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.9e+134) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.2e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.5e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if ((x_46_im <= 5.6e+262) || !((x_46_im <= 3.1e+271) || (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299)))) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: tmp
    if (x_46im <= 8.5d-58) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.5d-25) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.45d-23) then
        tmp = x_46im / -y_46im
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 6.5d+25) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.55d+37) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 3.55d+78) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.9d+121) then
        tmp = x_46im / y_46im
    else if (x_46im <= 3.9d+134) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6.2d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 2.5d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if ((x_46im <= 5.6d+262) .or. (.not. (x_46im <= 3.1d+271) .or. (.not. (x_46im <= 2d+299)) .and. (x_46im <= 2.1d+299))) then
        tmp = x_46im / y_46im
    else
        tmp = x_46re / y_46re
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double tmp;
	if (x_46_im <= 8.5e-58) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.45e-23) {
		tmp = x_46_im / -y_46_im;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 6.5e+25) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.55e+37) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.55e+78) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.9e+121) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 3.9e+134) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6.2e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 2.5e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if ((x_46_im <= 5.6e+262) || !((x_46_im <= 3.1e+271) || (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299)))) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	tmp = 0
	if x_46_im <= 8.5e-58:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.5e-25:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.45e-23:
		tmp = x_46_im / -y_46_im
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 6.5e+25:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.55e+37:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 3.55e+78:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.9e+121:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 3.9e+134:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6.2e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 2.5e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif (x_46_im <= 5.6e+262) or not ((x_46_im <= 3.1e+271) or (not (x_46_im <= 2e+299) and (x_46_im <= 2.1e+299))):
		tmp = x_46_im / y_46_im
	else:
		tmp = x_46_re / y_46_re
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = 0.0
	if (x_46_im <= 8.5e-58)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.5e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.45e-23)
		tmp = Float64(x_46_im / Float64(-y_46_im));
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 6.5e+25)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.55e+37)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 3.55e+78)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.9e+121)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 3.9e+134)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6.2e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 2.5e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif ((x_46_im <= 5.6e+262) || !((x_46_im <= 3.1e+271) || (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299))))
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = Float64(x_46_re / y_46_re);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = 0.0;
	if (x_46_im <= 8.5e-58)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.5e-25)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.45e-23)
		tmp = x_46_im / -y_46_im;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 6.5e+25)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.55e+37)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 3.55e+78)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.9e+121)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 3.9e+134)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6.2e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 2.5e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif ((x_46_im <= 5.6e+262) || ~(((x_46_im <= 3.1e+271) || (~((x_46_im <= 2e+299)) && (x_46_im <= 2.1e+299)))))
		tmp = x_46_im / y_46_im;
	else
		tmp = x_46_re / y_46_re;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := If[LessEqual[x$46$im, 8.5e-58], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.5e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.45e-23], N[(x$46$im / (-y$46$im)), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.5e+25], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.55e+37], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.55e+78], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.9e+121], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 3.9e+134], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6.2e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 2.5e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[Or[LessEqual[x$46$im, 5.6e+262], N[Not[Or[LessEqual[x$46$im, 3.1e+271], And[N[Not[LessEqual[x$46$im, 2e+299]], $MachinePrecision], LessEqual[x$46$im, 2.1e+299]]]], $MachinePrecision]], N[(x$46$im / y$46$im), $MachinePrecision], N[(x$46$re / y$46$re), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if x.im < 8.5000000000000004e-58 or 1.4000000000000001e-13 < x.im < 6.50000000000000005e25 or 1.5500000000000001e37 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 3.54999999999999996e78 or 3.89999999999999984e121 < x.im < 3.89999999999999983e134 or 6.19999999999999967e136 < x.im < 5.8000000000000001e170 or 5.99999999999999994e170 < x.im < 2.49999999999999995e185 or 5.59999999999999995e262 < x.im < 3.1000000000000001e271 or 2.0000000000000001e299 < x.im < 2.1e299

   1. Initial program 65.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 57.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if 8.5000000000000004e-58 < x.im < 3.5000000000000002e-25 or 6.50000000000000005e25 < x.im < 1.5500000000000001e37 or 3.54999999999999996e78 < x.im < 3.89999999999999984e121 or 3.89999999999999983e134 < x.im < 6.19999999999999967e136 or 2.49999999999999995e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 5.59999999999999995e262 or 3.1000000000000001e271 < x.im < 2.0000000000000001e299 or 2.1e299 < x.im

   1. Initial program 37.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 85.7%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 3.5000000000000002e-25 < x.im < 1.4500000000000001e-23

   1. Initial program 100.0%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 100.0%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 100.0%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 100.0%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 100.0%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 100.0%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 100.0%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 100.0%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 5.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 5.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 5.7%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around 0 5.7%

      \[\leadsto \color{blue}{-1 \cdot \frac{x.im}{y.im}} \]
   9. Step-by-step derivation

      1. neg-mul-1 5.7%

         \[\leadsto \color{blue}{-\frac{x.im}{y.im}} \]

      2. distribute-neg-frac2 5.7%

         \[\leadsto \color{blue}{\frac{x.im}{-y.im}} \]

   10. Simplified 5.7%

       \[\leadsto \color{blue}{\frac{x.im}{-y.im}} \]

   if 1.4500000000000001e-23 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 5.8000000000000001e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 80.2%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 80.2%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 80.2%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 80.5%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 80.5%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 80.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 80.5%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 80.5%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.1%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.1%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.1%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 7.3%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]
3. Recombined 4 regimes into one program.

4. Final simplification 59.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq 8.5 \cdot 10^{-58}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{-23}:\\ \;\;\;\;\frac{x.im}{-y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 6.5 \cdot 10^{+25}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.55 \cdot 10^{+37}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.55 \cdot 10^{+78}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.9 \cdot 10^{+121}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 3.9 \cdot 10^{+134}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6.2 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 2.5 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 5.6 \cdot 10^{+262} \lor \neg \left(x.im \leq 3.1 \cdot 10^{+271} \lor \neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 2.1 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 44.2% accurate, 0.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;x.im \leq 3.3 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{+26}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.1 \cdot 10^{+36}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 5.7 \cdot 10^{+75}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{+119}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.5 \cdot 10^{+132}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.3 \cdot 10^{+263} \lor \neg \left(x.im \leq 2.65 \cdot 10^{+271} \lor \neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 2.1 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im)
 :precision binary64
 (if (<= x.im 3.3e-56)
   (/ x.re y.re)
   (if (<= x.im 3.5e-25)
     (/ x.im y.im)
     (if (<= x.im 1.4e-13)
       (/ x.im y.re)
       (if (<= x.im 1.2e+26)
         (/ x.re y.re)
         (if (<= x.im 5.1e+36)
           (/ x.im y.im)
           (if (<= x.im 9e+46)
             (/ x.re y.re)
             (if (<= x.im 9.5e+46)
               (/ x.im y.re)
               (if (<= x.im 5.7e+75)
                 (/ x.re y.re)
                 (if (<= x.im 1.45e+119)
                   (/ x.im y.im)
                   (if (<= x.im 2.5e+132)
                     (/ x.re y.re)
                     (if (<= x.im 7.5e+136)
                       (/ x.im y.im)
                       (if (<= x.im 5.8e+170)
                         (/ x.re y.re)
                         (if (<= x.im 6e+170)
                           (/ x.im y.re)
                           (if (<= x.im 3.4e+185)
                             (/ x.re y.re)
                             (if (<= x.im 5.8e+188)
                               (/ x.im y.im)
                               (if (<= x.im 6e+188)
                                 (/ x.im y.re)
                                 (if (<= x.im 1.35e+244)
                                   (/ x.im y.im)
                                   (if (<= x.im 1.4e+244)
                                     (/ x.im y.re)
                                     (if (or (<= x.im 1.3e+263)
                                             (not
                                              (or (<= x.im 2.65e+271)
                                                  (and (not (<= x.im 2e+299))
                                                       (<= x.im 2.1e+299)))))
                                       (/ x.im y.im)
                                       (/ x.re y.re)))))))))))))))))))))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double tmp;
	if (x_46_im <= 3.3e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.2e+26) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.1e+36) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 5.7e+75) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.45e+119) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.5e+132) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.5e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.4e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if ((x_46_im <= 1.3e+263) || !((x_46_im <= 2.65e+271) || (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299)))) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    real(8) :: tmp
    if (x_46im <= 3.3d-56) then
        tmp = x_46re / y_46re
    else if (x_46im <= 3.5d-25) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d-13) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.2d+26) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.1d+36) then
        tmp = x_46im / y_46im
    else if (x_46im <= 9d+46) then
        tmp = x_46re / y_46re
    else if (x_46im <= 9.5d+46) then
        tmp = x_46im / y_46re
    else if (x_46im <= 5.7d+75) then
        tmp = x_46re / y_46re
    else if (x_46im <= 1.45d+119) then
        tmp = x_46im / y_46im
    else if (x_46im <= 2.5d+132) then
        tmp = x_46re / y_46re
    else if (x_46im <= 7.5d+136) then
        tmp = x_46im / y_46im
    else if (x_46im <= 5.8d+170) then
        tmp = x_46re / y_46re
    else if (x_46im <= 6d+170) then
        tmp = x_46im / y_46re
    else if (x_46im <= 3.4d+185) then
        tmp = x_46re / y_46re
    else if (x_46im <= 5.8d+188) then
        tmp = x_46im / y_46im
    else if (x_46im <= 6d+188) then
        tmp = x_46im / y_46re
    else if (x_46im <= 1.35d+244) then
        tmp = x_46im / y_46im
    else if (x_46im <= 1.4d+244) then
        tmp = x_46im / y_46re
    else if ((x_46im <= 1.3d+263) .or. (.not. (x_46im <= 2.65d+271) .or. (.not. (x_46im <= 2d+299)) .and. (x_46im <= 2.1d+299))) then
        tmp = x_46im / y_46im
    else
        tmp = x_46re / y_46re
    end if
    code = tmp
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	double tmp;
	if (x_46_im <= 3.3e-56) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 3.5e-25) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e-13) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.2e+26) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.1e+36) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 9e+46) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 9.5e+46) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 5.7e+75) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 1.45e+119) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 2.5e+132) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 7.5e+136) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 5.8e+170) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 6e+170) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 3.4e+185) {
		tmp = x_46_re / y_46_re;
	} else if (x_46_im <= 5.8e+188) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 6e+188) {
		tmp = x_46_im / y_46_re;
	} else if (x_46_im <= 1.35e+244) {
		tmp = x_46_im / y_46_im;
	} else if (x_46_im <= 1.4e+244) {
		tmp = x_46_im / y_46_re;
	} else if ((x_46_im <= 1.3e+263) || !((x_46_im <= 2.65e+271) || (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299)))) {
		tmp = x_46_im / y_46_im;
	} else {
		tmp = x_46_re / y_46_re;
	}
	return tmp;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	tmp = 0
	if x_46_im <= 3.3e-56:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 3.5e-25:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e-13:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.2e+26:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.1e+36:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 9e+46:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 9.5e+46:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 5.7e+75:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 1.45e+119:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 2.5e+132:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 7.5e+136:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 5.8e+170:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 6e+170:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 3.4e+185:
		tmp = x_46_re / y_46_re
	elif x_46_im <= 5.8e+188:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 6e+188:
		tmp = x_46_im / y_46_re
	elif x_46_im <= 1.35e+244:
		tmp = x_46_im / y_46_im
	elif x_46_im <= 1.4e+244:
		tmp = x_46_im / y_46_re
	elif (x_46_im <= 1.3e+263) or not ((x_46_im <= 2.65e+271) or (not (x_46_im <= 2e+299) and (x_46_im <= 2.1e+299))):
		tmp = x_46_im / y_46_im
	else:
		tmp = x_46_re / y_46_re
	return tmp

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = 0.0
	if (x_46_im <= 3.3e-56)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 3.5e-25)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e-13)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.2e+26)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.1e+36)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 9e+46)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 9.5e+46)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 5.7e+75)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 1.45e+119)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 2.5e+132)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 7.5e+136)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 5.8e+170)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 6e+170)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 3.4e+185)
		tmp = Float64(x_46_re / y_46_re);
	elseif (x_46_im <= 5.8e+188)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 6e+188)
		tmp = Float64(x_46_im / y_46_re);
	elseif (x_46_im <= 1.35e+244)
		tmp = Float64(x_46_im / y_46_im);
	elseif (x_46_im <= 1.4e+244)
		tmp = Float64(x_46_im / y_46_re);
	elseif ((x_46_im <= 1.3e+263) || !((x_46_im <= 2.65e+271) || (!(x_46_im <= 2e+299) && (x_46_im <= 2.1e+299))))
		tmp = Float64(x_46_im / y_46_im);
	else
		tmp = Float64(x_46_re / y_46_re);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = 0.0;
	if (x_46_im <= 3.3e-56)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 3.5e-25)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e-13)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.2e+26)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.1e+36)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 9e+46)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 9.5e+46)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 5.7e+75)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 1.45e+119)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 2.5e+132)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 7.5e+136)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 5.8e+170)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 6e+170)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 3.4e+185)
		tmp = x_46_re / y_46_re;
	elseif (x_46_im <= 5.8e+188)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 6e+188)
		tmp = x_46_im / y_46_re;
	elseif (x_46_im <= 1.35e+244)
		tmp = x_46_im / y_46_im;
	elseif (x_46_im <= 1.4e+244)
		tmp = x_46_im / y_46_re;
	elseif ((x_46_im <= 1.3e+263) || ~(((x_46_im <= 2.65e+271) || (~((x_46_im <= 2e+299)) && (x_46_im <= 2.1e+299)))))
		tmp = x_46_im / y_46_im;
	else
		tmp = x_46_re / y_46_re;
	end
	tmp_2 = tmp;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := If[LessEqual[x$46$im, 3.3e-56], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.5e-25], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e-13], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.2e+26], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.1e+36], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 9e+46], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 9.5e+46], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.7e+75], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.45e+119], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 2.5e+132], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 7.5e+136], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+170], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 6e+170], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 3.4e+185], N[(x$46$re / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 5.8e+188], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 6e+188], N[(x$46$im / y$46$re), $MachinePrecision], If[LessEqual[x$46$im, 1.35e+244], N[(x$46$im / y$46$im), $MachinePrecision], If[LessEqual[x$46$im, 1.4e+244], N[(x$46$im / y$46$re), $MachinePrecision], If[Or[LessEqual[x$46$im, 1.3e+263], N[Not[Or[LessEqual[x$46$im, 2.65e+271], And[N[Not[LessEqual[x$46$im, 2e+299]], $MachinePrecision], LessEqual[x$46$im, 2.1e+299]]]], $MachinePrecision]], N[(x$46$im / y$46$im), $MachinePrecision], N[(x$46$re / y$46$re), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 3 regimes

2. if x.im < 3.29999999999999984e-56 or 1.4000000000000001e-13 < x.im < 1.20000000000000002e26 or 5.09999999999999973e36 < x.im < 9.00000000000000019e46 or 9.5000000000000008e46 < x.im < 5.7000000000000004e75 or 1.45000000000000004e119 < x.im < 2.5000000000000001e132 or 7.5000000000000002e136 < x.im < 5.8000000000000001e170 or 5.99999999999999994e170 < x.im < 3.40000000000000017e185 or 1.3000000000000001e263 < x.im < 2.6500000000000001e271 or 2.0000000000000001e299 < x.im < 2.1e299

   1. Initial program 65.6%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around inf 57.0%

      \[\leadsto \color{blue}{\frac{x.re}{y.re}} \]

   if 3.29999999999999984e-56 < x.im < 3.5000000000000002e-25 or 1.20000000000000002e26 < x.im < 5.09999999999999973e36 or 5.7000000000000004e75 < x.im < 1.45000000000000004e119 or 2.5000000000000001e132 < x.im < 7.5000000000000002e136 or 3.40000000000000017e185 < x.im < 5.7999999999999999e188 or 6.0000000000000001e188 < x.im < 1.34999999999999999e244 or 1.39999999999999995e244 < x.im < 1.3000000000000001e263 or 2.6500000000000001e271 < x.im < 2.0000000000000001e299 or 2.1e299 < x.im

   1. Initial program 37.3%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing

   3. Taylor expanded in y.re around 0 85.7%

      \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]

   if 3.5000000000000002e-25 < x.im < 1.4000000000000001e-13 or 9.00000000000000019e46 < x.im < 9.5000000000000008e46 or 5.8000000000000001e170 < x.im < 5.99999999999999994e170 or 5.7999999999999999e188 < x.im < 6.0000000000000001e188 or 1.34999999999999999e244 < x.im < 1.39999999999999995e244

   1. Initial program 83.5%

      \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
   2. Add Preprocessing
   3. Step-by-step derivation

      1. *-un-lft-identity 83.5%

         \[\leadsto \frac{\color{blue}{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}}{y.re \cdot y.re + y.im \cdot y.im} \]

      2. add-sqr-sqrt 83.5%

         \[\leadsto \frac{1 \cdot \left(x.re \cdot y.re + x.im \cdot y.im\right)}{\color{blue}{\sqrt{y.re \cdot y.re + y.im \cdot y.im} \cdot \sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      3. times-frac 83.7%

         \[\leadsto \color{blue}{\frac{1}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}}} \]

      4. hypot-define 83.7%

         \[\leadsto \frac{1}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \cdot \frac{x.re \cdot y.re + x.im \cdot y.im}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      5. fma-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\color{blue}{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}}{\sqrt{y.re \cdot y.re + y.im \cdot y.im}} \]

      6. hypot-define 83.7%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\color{blue}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   4. Applied egg-rr 83.7%

      \[\leadsto \color{blue}{\frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \frac{\mathsf{fma}\left(x.re, y.re, x.im \cdot y.im\right)}{\mathsf{hypot}\left(y.re, y.im\right)}} \]

   5. Taylor expanded in y.im around -inf 4.4%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-1 \cdot x.im\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 4.4%

         \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   7. Simplified 4.4%

      \[\leadsto \frac{1}{\mathsf{hypot}\left(y.re, y.im\right)} \cdot \color{blue}{\left(-x.im\right)} \]

   8. Taylor expanded in y.re around -inf 6.9%

      \[\leadsto \color{blue}{\frac{x.im}{y.re}} \]
3. Recombined 3 regimes into one program.

4. Final simplification 59.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x.im \leq 3.3 \cdot 10^{-56}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 3.5 \cdot 10^{-25}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{-13}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.2 \cdot 10^{+26}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.1 \cdot 10^{+36}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 9 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 9.5 \cdot 10^{+46}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 5.7 \cdot 10^{+75}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 1.45 \cdot 10^{+119}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 2.5 \cdot 10^{+132}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 7.5 \cdot 10^{+136}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+170}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 3.4 \cdot 10^{+185}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \mathbf{elif}\;x.im \leq 5.8 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 6 \cdot 10^{+188}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.35 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{elif}\;x.im \leq 1.4 \cdot 10^{+244}:\\ \;\;\;\;\frac{x.im}{y.re}\\ \mathbf{elif}\;x.im \leq 1.3 \cdot 10^{+263} \lor \neg \left(x.im \leq 2.65 \cdot 10^{+271} \lor \neg \left(x.im \leq 2 \cdot 10^{+299}\right) \land x.im \leq 2.1 \cdot 10^{+299}\right):\\ \;\;\;\;\frac{x.im}{y.im}\\ \mathbf{else}:\\ \;\;\;\;\frac{x.re}{y.re}\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 43.4% accurate, 5.0× speedup

Math

\[\begin{array}{l} \\ \frac{x.im}{y.im} \end{array} \]

FPCore

(FPCore (x.re x.im y.re y.im) :precision binary64 (/ x.im y.im))

C

double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return x_46_im / y_46_im;
}

Fortran

real(8) function code(x_46re, x_46im, y_46re, y_46im)
    real(8), intent (in) :: x_46re
    real(8), intent (in) :: x_46im
    real(8), intent (in) :: y_46re
    real(8), intent (in) :: y_46im
    code = x_46im / y_46im
end function

Java

public static double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return x_46_im / y_46_im;
}

Python

def code(x_46_re, x_46_im, y_46_re, y_46_im):
	return x_46_im / y_46_im

Julia

function code(x_46_re, x_46_im, y_46_re, y_46_im)
	return Float64(x_46_im / y_46_im)
end

MATLAB

function tmp = code(x_46_re, x_46_im, y_46_re, y_46_im)
	tmp = x_46_im / y_46_im;
end

Wolfram

code[x$46$re_, x$46$im_, y$46$re_, y$46$im_] := N[(x$46$im / y$46$im), $MachinePrecision]

Derivation

1. Initial program 62.6%

   \[\frac{x.re \cdot y.re + x.im \cdot y.im}{y.re \cdot y.re + y.im \cdot y.im} \]
2. Add Preprocessing

3. Taylor expanded in y.re around 0 36.9%

   \[\leadsto \color{blue}{\frac{x.im}{y.im}} \]
4. Add Preprocessing

Reproduce

herbie shell --seed 2024096 
(FPCore (x.re x.im y.re y.im)
  :name "_divideComplex, real part"
  :precision binary64
  (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))