Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

Percentage Accurate: 88.1% → 99.9%
Time: 7.3s
Alternatives: 4
Speedup: 0.3×

Specification

?
\[\begin{array}{l} \\ \frac{x + y}{1 - \frac{y}{z}} \end{array} \]
(FPCore (x y z) :precision binary64 (/ (+ x y) (- 1.0 (/ y z))))
double code(double x, double y, double z) {
	return (x + y) / (1.0 - (y / z));
}
real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    code = (x + y) / (1.0d0 - (y / z))
end function
public static double code(double x, double y, double z) {
	return (x + y) / (1.0 - (y / z));
}
def code(x, y, z):
	return (x + y) / (1.0 - (y / z))
function code(x, y, z)
	return Float64(Float64(x + y) / Float64(1.0 - Float64(y / z)))
end
function tmp = code(x, y, z)
	tmp = (x + y) / (1.0 - (y / z));
end
code[x_, y_, z_] := N[(N[(x + y), $MachinePrecision] / N[(1.0 - N[(y / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}

\\
\frac{x + y}{1 - \frac{y}{z}}
\end{array}

Sampling outcomes in binary64 precision:

Local Percentage Accuracy vs ?

The average percentage accuracy by input value. Horizontal axis shows value of an input variable; the variable is choosen in the title. Vertical axis is accuracy; higher is better. Red represent the original program, while blue represents Herbie's suggestion. These can be toggled with buttons below the plot. The line is an average while dots represent individual samples.

Accuracy vs Speed?

Herbie found 4 alternatives:

AlternativeAccuracySpeedup
The accuracy (vertical axis) and speed (horizontal axis) of each alternatives. Up and to the right is better. The red square shows the initial program, and each blue circle shows an alternative.The line shows the best available speed-accuracy tradeoffs.

Initial Program: 88.1% accurate, 1.0× speedup?

\[\begin{array}{l} \\ \frac{x + y}{1 - \frac{y}{z}} \end{array} \]
(FPCore (x y z) :precision binary64 (/ (+ x y) (- 1.0 (/ y z))))
double code(double x, double y, double z) {
	return (x + y) / (1.0 - (y / z));
}
real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    code = (x + y) / (1.0d0 - (y / z))
end function
public static double code(double x, double y, double z) {
	return (x + y) / (1.0 - (y / z));
}
def code(x, y, z):
	return (x + y) / (1.0 - (y / z))
function code(x, y, z)
	return Float64(Float64(x + y) / Float64(1.0 - Float64(y / z)))
end
function tmp = code(x, y, z)
	tmp = (x + y) / (1.0 - (y / z));
end
code[x_, y_, z_] := N[(N[(x + y), $MachinePrecision] / N[(1.0 - N[(y / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}

\\
\frac{x + y}{1 - \frac{y}{z}}
\end{array}

Alternative 1: 99.9% accurate, 0.3× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{x + y}{1 - \frac{y}{z}}\\ \mathbf{if}\;t\_0 \leq -5 \cdot 10^{-304}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;t\_0 \leq 0:\\ \;\;\;\;-\mathsf{fma}\left(z, \frac{x}{y}, z\right)\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]
(FPCore (x y z)
 :precision binary64
 (let* ((t_0 (/ (+ x y) (- 1.0 (/ y z)))))
   (if (<= t_0 -5e-304) t_0 (if (<= t_0 0.0) (- (fma z (/ x y) z)) t_0))))
double code(double x, double y, double z) {
	double t_0 = (x + y) / (1.0 - (y / z));
	double tmp;
	if (t_0 <= -5e-304) {
		tmp = t_0;
	} else if (t_0 <= 0.0) {
		tmp = -fma(z, (x / y), z);
	} else {
		tmp = t_0;
	}
	return tmp;
}
function code(x, y, z)
	t_0 = Float64(Float64(x + y) / Float64(1.0 - Float64(y / z)))
	tmp = 0.0
	if (t_0 <= -5e-304)
		tmp = t_0;
	elseif (t_0 <= 0.0)
		tmp = Float64(-fma(z, Float64(x / y), z));
	else
		tmp = t_0;
	end
	return tmp
end
code[x_, y_, z_] := Block[{t$95$0 = N[(N[(x + y), $MachinePrecision] / N[(1.0 - N[(y / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$0, -5e-304], t$95$0, If[LessEqual[t$95$0, 0.0], (-N[(z * N[(x / y), $MachinePrecision] + z), $MachinePrecision]), t$95$0]]]
\begin{array}{l}

\\
\begin{array}{l}
t_0 := \frac{x + y}{1 - \frac{y}{z}}\\
\mathbf{if}\;t\_0 \leq -5 \cdot 10^{-304}:\\
\;\;\;\;t\_0\\

\mathbf{elif}\;t\_0 \leq 0:\\
\;\;\;\;-\mathsf{fma}\left(z, \frac{x}{y}, z\right)\\

\mathbf{else}:\\
\;\;\;\;t\_0\\


\end{array}
\end{array}
Derivation
  1. Split input into 2 regimes
  2. if (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) < -4.99999999999999965e-304 or -0.0 < (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

    1. Initial program 99.9%

      \[\frac{x + y}{1 - \frac{y}{z}} \]
    2. Add Preprocessing

    if -4.99999999999999965e-304 < (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) < -0.0

    1. Initial program 6.7%

      \[\frac{x + y}{1 - \frac{y}{z}} \]
    2. Add Preprocessing
    3. Taylor expanded in z around 0

      \[\leadsto \color{blue}{-1 \cdot \frac{z \cdot \left(x + y\right)}{y}} \]
    4. Step-by-step derivation
      1. mul-1-negN/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(\frac{z \cdot \left(x + y\right)}{y}\right)} \]
      2. associate-/l*N/A

        \[\leadsto \mathsf{neg}\left(\color{blue}{z \cdot \frac{x + y}{y}}\right) \]
      3. distribute-rgt-neg-inN/A

        \[\leadsto \color{blue}{z \cdot \left(\mathsf{neg}\left(\frac{x + y}{y}\right)\right)} \]
      4. distribute-neg-fracN/A

        \[\leadsto z \cdot \color{blue}{\frac{\mathsf{neg}\left(\left(x + y\right)\right)}{y}} \]
      5. +-commutativeN/A

        \[\leadsto z \cdot \frac{\mathsf{neg}\left(\color{blue}{\left(y + x\right)}\right)}{y} \]
      6. distribute-neg-inN/A

        \[\leadsto z \cdot \frac{\color{blue}{\left(\mathsf{neg}\left(y\right)\right) + \left(\mathsf{neg}\left(x\right)\right)}}{y} \]
      7. neg-mul-1N/A

        \[\leadsto z \cdot \frac{\color{blue}{-1 \cdot y} + \left(\mathsf{neg}\left(x\right)\right)}{y} \]
      8. unsub-negN/A

        \[\leadsto z \cdot \frac{\color{blue}{-1 \cdot y - x}}{y} \]
      9. div-subN/A

        \[\leadsto z \cdot \color{blue}{\left(\frac{-1 \cdot y}{y} - \frac{x}{y}\right)} \]
      10. associate-*l/N/A

        \[\leadsto z \cdot \left(\color{blue}{\frac{-1}{y} \cdot y} - \frac{x}{y}\right) \]
      11. metadata-evalN/A

        \[\leadsto z \cdot \left(\frac{\color{blue}{\mathsf{neg}\left(1\right)}}{y} \cdot y - \frac{x}{y}\right) \]
      12. distribute-neg-fracN/A

        \[\leadsto z \cdot \left(\color{blue}{\left(\mathsf{neg}\left(\frac{1}{y}\right)\right)} \cdot y - \frac{x}{y}\right) \]
      13. distribute-lft-neg-outN/A

        \[\leadsto z \cdot \left(\color{blue}{\left(\mathsf{neg}\left(\frac{1}{y} \cdot y\right)\right)} - \frac{x}{y}\right) \]
      14. lft-mult-inverseN/A

        \[\leadsto z \cdot \left(\left(\mathsf{neg}\left(\color{blue}{1}\right)\right) - \frac{x}{y}\right) \]
      15. metadata-evalN/A

        \[\leadsto z \cdot \left(\color{blue}{-1} - \frac{x}{y}\right) \]
      16. distribute-lft-out--N/A

        \[\leadsto \color{blue}{z \cdot -1 - z \cdot \frac{x}{y}} \]
      17. *-commutativeN/A

        \[\leadsto \color{blue}{-1 \cdot z} - z \cdot \frac{x}{y} \]
      18. associate-/l*N/A

        \[\leadsto -1 \cdot z - \color{blue}{\frac{z \cdot x}{y}} \]
      19. *-commutativeN/A

        \[\leadsto -1 \cdot z - \frac{\color{blue}{x \cdot z}}{y} \]
      20. unsub-negN/A

        \[\leadsto \color{blue}{-1 \cdot z + \left(\mathsf{neg}\left(\frac{x \cdot z}{y}\right)\right)} \]
      21. mul-1-negN/A

        \[\leadsto \color{blue}{\left(\mathsf{neg}\left(z\right)\right)} + \left(\mathsf{neg}\left(\frac{x \cdot z}{y}\right)\right) \]
      22. distribute-neg-outN/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(\left(z + \frac{x \cdot z}{y}\right)\right)} \]
      23. lower-neg.f64N/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(\left(z + \frac{x \cdot z}{y}\right)\right)} \]
    5. Simplified99.9%

      \[\leadsto \color{blue}{-\mathsf{fma}\left(z, \frac{x}{y}, z\right)} \]
  3. Recombined 2 regimes into one program.
  4. Add Preprocessing

Alternative 2: 75.0% accurate, 0.9× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_0 := -\mathsf{fma}\left(z, \frac{x}{y}, z\right)\\ \mathbf{if}\;y \leq -2400:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y \leq 60000000:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]
(FPCore (x y z)
 :precision binary64
 (let* ((t_0 (- (fma z (/ x y) z))))
   (if (<= y -2400.0) t_0 (if (<= y 60000000.0) (+ x y) t_0))))
double code(double x, double y, double z) {
	double t_0 = -fma(z, (x / y), z);
	double tmp;
	if (y <= -2400.0) {
		tmp = t_0;
	} else if (y <= 60000000.0) {
		tmp = x + y;
	} else {
		tmp = t_0;
	}
	return tmp;
}
function code(x, y, z)
	t_0 = Float64(-fma(z, Float64(x / y), z))
	tmp = 0.0
	if (y <= -2400.0)
		tmp = t_0;
	elseif (y <= 60000000.0)
		tmp = Float64(x + y);
	else
		tmp = t_0;
	end
	return tmp
end
code[x_, y_, z_] := Block[{t$95$0 = (-N[(z * N[(x / y), $MachinePrecision] + z), $MachinePrecision])}, If[LessEqual[y, -2400.0], t$95$0, If[LessEqual[y, 60000000.0], N[(x + y), $MachinePrecision], t$95$0]]]
\begin{array}{l}

\\
\begin{array}{l}
t_0 := -\mathsf{fma}\left(z, \frac{x}{y}, z\right)\\
\mathbf{if}\;y \leq -2400:\\
\;\;\;\;t\_0\\

\mathbf{elif}\;y \leq 60000000:\\
\;\;\;\;x + y\\

\mathbf{else}:\\
\;\;\;\;t\_0\\


\end{array}
\end{array}
Derivation
  1. Split input into 2 regimes
  2. if y < -2400 or 6e7 < y

    1. Initial program 72.9%

      \[\frac{x + y}{1 - \frac{y}{z}} \]
    2. Add Preprocessing
    3. Taylor expanded in z around 0

      \[\leadsto \color{blue}{-1 \cdot \frac{z \cdot \left(x + y\right)}{y}} \]
    4. Step-by-step derivation
      1. mul-1-negN/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(\frac{z \cdot \left(x + y\right)}{y}\right)} \]
      2. associate-/l*N/A

        \[\leadsto \mathsf{neg}\left(\color{blue}{z \cdot \frac{x + y}{y}}\right) \]
      3. distribute-rgt-neg-inN/A

        \[\leadsto \color{blue}{z \cdot \left(\mathsf{neg}\left(\frac{x + y}{y}\right)\right)} \]
      4. distribute-neg-fracN/A

        \[\leadsto z \cdot \color{blue}{\frac{\mathsf{neg}\left(\left(x + y\right)\right)}{y}} \]
      5. +-commutativeN/A

        \[\leadsto z \cdot \frac{\mathsf{neg}\left(\color{blue}{\left(y + x\right)}\right)}{y} \]
      6. distribute-neg-inN/A

        \[\leadsto z \cdot \frac{\color{blue}{\left(\mathsf{neg}\left(y\right)\right) + \left(\mathsf{neg}\left(x\right)\right)}}{y} \]
      7. neg-mul-1N/A

        \[\leadsto z \cdot \frac{\color{blue}{-1 \cdot y} + \left(\mathsf{neg}\left(x\right)\right)}{y} \]
      8. unsub-negN/A

        \[\leadsto z \cdot \frac{\color{blue}{-1 \cdot y - x}}{y} \]
      9. div-subN/A

        \[\leadsto z \cdot \color{blue}{\left(\frac{-1 \cdot y}{y} - \frac{x}{y}\right)} \]
      10. associate-*l/N/A

        \[\leadsto z \cdot \left(\color{blue}{\frac{-1}{y} \cdot y} - \frac{x}{y}\right) \]
      11. metadata-evalN/A

        \[\leadsto z \cdot \left(\frac{\color{blue}{\mathsf{neg}\left(1\right)}}{y} \cdot y - \frac{x}{y}\right) \]
      12. distribute-neg-fracN/A

        \[\leadsto z \cdot \left(\color{blue}{\left(\mathsf{neg}\left(\frac{1}{y}\right)\right)} \cdot y - \frac{x}{y}\right) \]
      13. distribute-lft-neg-outN/A

        \[\leadsto z \cdot \left(\color{blue}{\left(\mathsf{neg}\left(\frac{1}{y} \cdot y\right)\right)} - \frac{x}{y}\right) \]
      14. lft-mult-inverseN/A

        \[\leadsto z \cdot \left(\left(\mathsf{neg}\left(\color{blue}{1}\right)\right) - \frac{x}{y}\right) \]
      15. metadata-evalN/A

        \[\leadsto z \cdot \left(\color{blue}{-1} - \frac{x}{y}\right) \]
      16. distribute-lft-out--N/A

        \[\leadsto \color{blue}{z \cdot -1 - z \cdot \frac{x}{y}} \]
      17. *-commutativeN/A

        \[\leadsto \color{blue}{-1 \cdot z} - z \cdot \frac{x}{y} \]
      18. associate-/l*N/A

        \[\leadsto -1 \cdot z - \color{blue}{\frac{z \cdot x}{y}} \]
      19. *-commutativeN/A

        \[\leadsto -1 \cdot z - \frac{\color{blue}{x \cdot z}}{y} \]
      20. unsub-negN/A

        \[\leadsto \color{blue}{-1 \cdot z + \left(\mathsf{neg}\left(\frac{x \cdot z}{y}\right)\right)} \]
      21. mul-1-negN/A

        \[\leadsto \color{blue}{\left(\mathsf{neg}\left(z\right)\right)} + \left(\mathsf{neg}\left(\frac{x \cdot z}{y}\right)\right) \]
      22. distribute-neg-outN/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(\left(z + \frac{x \cdot z}{y}\right)\right)} \]
      23. lower-neg.f64N/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(\left(z + \frac{x \cdot z}{y}\right)\right)} \]
    5. Simplified81.2%

      \[\leadsto \color{blue}{-\mathsf{fma}\left(z, \frac{x}{y}, z\right)} \]

    if -2400 < y < 6e7

    1. Initial program 99.9%

      \[\frac{x + y}{1 - \frac{y}{z}} \]
    2. Add Preprocessing
    3. Taylor expanded in z around inf

      \[\leadsto \color{blue}{x + y} \]
    4. Step-by-step derivation
      1. +-commutativeN/A

        \[\leadsto \color{blue}{y + x} \]
      2. lower-+.f6479.6

        \[\leadsto \color{blue}{y + x} \]
    5. Simplified79.6%

      \[\leadsto \color{blue}{y + x} \]
  3. Recombined 2 regimes into one program.
  4. Final simplification80.4%

    \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2400:\\ \;\;\;\;-\mathsf{fma}\left(z, \frac{x}{y}, z\right)\\ \mathbf{elif}\;y \leq 60000000:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;-\mathsf{fma}\left(z, \frac{x}{y}, z\right)\\ \end{array} \]
  5. Add Preprocessing

Alternative 3: 66.4% accurate, 1.8× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -4 \cdot 10^{+114}:\\ \;\;\;\;-z\\ \mathbf{elif}\;y \leq 60000000:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;-z\\ \end{array} \end{array} \]
(FPCore (x y z)
 :precision binary64
 (if (<= y -4e+114) (- z) (if (<= y 60000000.0) (+ x y) (- z))))
double code(double x, double y, double z) {
	double tmp;
	if (y <= -4e+114) {
		tmp = -z;
	} else if (y <= 60000000.0) {
		tmp = x + y;
	} else {
		tmp = -z;
	}
	return tmp;
}
real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8) :: tmp
    if (y <= (-4d+114)) then
        tmp = -z
    else if (y <= 60000000.0d0) then
        tmp = x + y
    else
        tmp = -z
    end if
    code = tmp
end function
public static double code(double x, double y, double z) {
	double tmp;
	if (y <= -4e+114) {
		tmp = -z;
	} else if (y <= 60000000.0) {
		tmp = x + y;
	} else {
		tmp = -z;
	}
	return tmp;
}
def code(x, y, z):
	tmp = 0
	if y <= -4e+114:
		tmp = -z
	elif y <= 60000000.0:
		tmp = x + y
	else:
		tmp = -z
	return tmp
function code(x, y, z)
	tmp = 0.0
	if (y <= -4e+114)
		tmp = Float64(-z);
	elseif (y <= 60000000.0)
		tmp = Float64(x + y);
	else
		tmp = Float64(-z);
	end
	return tmp
end
function tmp_2 = code(x, y, z)
	tmp = 0.0;
	if (y <= -4e+114)
		tmp = -z;
	elseif (y <= 60000000.0)
		tmp = x + y;
	else
		tmp = -z;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_] := If[LessEqual[y, -4e+114], (-z), If[LessEqual[y, 60000000.0], N[(x + y), $MachinePrecision], (-z)]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;y \leq -4 \cdot 10^{+114}:\\
\;\;\;\;-z\\

\mathbf{elif}\;y \leq 60000000:\\
\;\;\;\;x + y\\

\mathbf{else}:\\
\;\;\;\;-z\\


\end{array}
\end{array}
Derivation
  1. Split input into 2 regimes
  2. if y < -4e114 or 6e7 < y

    1. Initial program 69.4%

      \[\frac{x + y}{1 - \frac{y}{z}} \]
    2. Add Preprocessing
    3. Taylor expanded in y around inf

      \[\leadsto \color{blue}{-1 \cdot z} \]
    4. Step-by-step derivation
      1. mul-1-negN/A

        \[\leadsto \color{blue}{\mathsf{neg}\left(z\right)} \]
      2. lower-neg.f6474.9

        \[\leadsto \color{blue}{-z} \]
    5. Simplified74.9%

      \[\leadsto \color{blue}{-z} \]

    if -4e114 < y < 6e7

    1. Initial program 98.0%

      \[\frac{x + y}{1 - \frac{y}{z}} \]
    2. Add Preprocessing
    3. Taylor expanded in z around inf

      \[\leadsto \color{blue}{x + y} \]
    4. Step-by-step derivation
      1. +-commutativeN/A

        \[\leadsto \color{blue}{y + x} \]
      2. lower-+.f6473.8

        \[\leadsto \color{blue}{y + x} \]
    5. Simplified73.8%

      \[\leadsto \color{blue}{y + x} \]
  3. Recombined 2 regimes into one program.
  4. Final simplification74.3%

    \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -4 \cdot 10^{+114}:\\ \;\;\;\;-z\\ \mathbf{elif}\;y \leq 60000000:\\ \;\;\;\;x + y\\ \mathbf{else}:\\ \;\;\;\;-z\\ \end{array} \]
  5. Add Preprocessing

Alternative 4: 34.6% accurate, 9.7× speedup?

\[\begin{array}{l} \\ -z \end{array} \]
(FPCore (x y z) :precision binary64 (- z))
double code(double x, double y, double z) {
	return -z;
}
real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    code = -z
end function
public static double code(double x, double y, double z) {
	return -z;
}
def code(x, y, z):
	return -z
function code(x, y, z)
	return Float64(-z)
end
function tmp = code(x, y, z)
	tmp = -z;
end
code[x_, y_, z_] := (-z)
\begin{array}{l}

\\
-z
\end{array}
Derivation
  1. Initial program 86.4%

    \[\frac{x + y}{1 - \frac{y}{z}} \]
  2. Add Preprocessing
  3. Taylor expanded in y around inf

    \[\leadsto \color{blue}{-1 \cdot z} \]
  4. Step-by-step derivation
    1. mul-1-negN/A

      \[\leadsto \color{blue}{\mathsf{neg}\left(z\right)} \]
    2. lower-neg.f6438.8

      \[\leadsto \color{blue}{-z} \]
  5. Simplified38.8%

    \[\leadsto \color{blue}{-z} \]
  6. Add Preprocessing

Developer Target 1: 94.0% accurate, 0.7× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \frac{y + x}{-y} \cdot z\\ \mathbf{if}\;y < -3.7429310762689856 \cdot 10^{+171}:\\ \;\;\;\;t\_0\\ \mathbf{elif}\;y < 3.5534662456086734 \cdot 10^{+168}:\\ \;\;\;\;\frac{x + y}{1 - \frac{y}{z}}\\ \mathbf{else}:\\ \;\;\;\;t\_0\\ \end{array} \end{array} \]
(FPCore (x y z)
 :precision binary64
 (let* ((t_0 (* (/ (+ y x) (- y)) z)))
   (if (< y -3.7429310762689856e+171)
     t_0
     (if (< y 3.5534662456086734e+168) (/ (+ x y) (- 1.0 (/ y z))) t_0))))
double code(double x, double y, double z) {
	double t_0 = ((y + x) / -y) * z;
	double tmp;
	if (y < -3.7429310762689856e+171) {
		tmp = t_0;
	} else if (y < 3.5534662456086734e+168) {
		tmp = (x + y) / (1.0 - (y / z));
	} else {
		tmp = t_0;
	}
	return tmp;
}
real(8) function code(x, y, z)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8) :: t_0
    real(8) :: tmp
    t_0 = ((y + x) / -y) * z
    if (y < (-3.7429310762689856d+171)) then
        tmp = t_0
    else if (y < 3.5534662456086734d+168) then
        tmp = (x + y) / (1.0d0 - (y / z))
    else
        tmp = t_0
    end if
    code = tmp
end function
public static double code(double x, double y, double z) {
	double t_0 = ((y + x) / -y) * z;
	double tmp;
	if (y < -3.7429310762689856e+171) {
		tmp = t_0;
	} else if (y < 3.5534662456086734e+168) {
		tmp = (x + y) / (1.0 - (y / z));
	} else {
		tmp = t_0;
	}
	return tmp;
}
def code(x, y, z):
	t_0 = ((y + x) / -y) * z
	tmp = 0
	if y < -3.7429310762689856e+171:
		tmp = t_0
	elif y < 3.5534662456086734e+168:
		tmp = (x + y) / (1.0 - (y / z))
	else:
		tmp = t_0
	return tmp
function code(x, y, z)
	t_0 = Float64(Float64(Float64(y + x) / Float64(-y)) * z)
	tmp = 0.0
	if (y < -3.7429310762689856e+171)
		tmp = t_0;
	elseif (y < 3.5534662456086734e+168)
		tmp = Float64(Float64(x + y) / Float64(1.0 - Float64(y / z)));
	else
		tmp = t_0;
	end
	return tmp
end
function tmp_2 = code(x, y, z)
	t_0 = ((y + x) / -y) * z;
	tmp = 0.0;
	if (y < -3.7429310762689856e+171)
		tmp = t_0;
	elseif (y < 3.5534662456086734e+168)
		tmp = (x + y) / (1.0 - (y / z));
	else
		tmp = t_0;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_] := Block[{t$95$0 = N[(N[(N[(y + x), $MachinePrecision] / (-y)), $MachinePrecision] * z), $MachinePrecision]}, If[Less[y, -3.7429310762689856e+171], t$95$0, If[Less[y, 3.5534662456086734e+168], N[(N[(x + y), $MachinePrecision] / N[(1.0 - N[(y / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$0]]]
\begin{array}{l}

\\
\begin{array}{l}
t_0 := \frac{y + x}{-y} \cdot z\\
\mathbf{if}\;y < -3.7429310762689856 \cdot 10^{+171}:\\
\;\;\;\;t\_0\\

\mathbf{elif}\;y < 3.5534662456086734 \cdot 10^{+168}:\\
\;\;\;\;\frac{x + y}{1 - \frac{y}{z}}\\

\mathbf{else}:\\
\;\;\;\;t\_0\\


\end{array}
\end{array}

Reproduce

?
herbie shell --seed 2024215 
(FPCore (x y z)
  :name "Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A"
  :precision binary64

  :alt
  (! :herbie-platform default (if (< y -3742931076268985600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (* (/ (+ y x) (- y)) z) (if (< y 3553466245608673400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ (+ x y) (- 1 (/ y z))) (* (/ (+ y x) (- y)) z))))

  (/ (+ x y) (- 1.0 (/ y z))))