Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

Percentage Accurate: 85.0% → 96.3%
Time: 7.0s
Alternatives: 5
Speedup: 1.0×

Specification

?
\[\begin{array}{l} \\ \frac{x \cdot \left(y - z\right)}{y} \end{array} \]
(FPCore (x y z) :precision binary64 (/ (* x (- y z)) y))
double code(double x, double y, double z) {
	return (x * (y - z)) / y;
}
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 - z)) / y
end function
public static double code(double x, double y, double z) {
	return (x * (y - z)) / y;
}
def code(x, y, z):
	return (x * (y - z)) / y
function code(x, y, z)
	return Float64(Float64(x * Float64(y - z)) / y)
end
function tmp = code(x, y, z)
	tmp = (x * (y - z)) / y;
end
code[x_, y_, z_] := N[(N[(x * N[(y - z), $MachinePrecision]), $MachinePrecision] / y), $MachinePrecision]
\begin{array}{l}

\\
\frac{x \cdot \left(y - z\right)}{y}
\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 5 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: 85.0% accurate, 1.0× speedup?

\[\begin{array}{l} \\ \frac{x \cdot \left(y - z\right)}{y} \end{array} \]
(FPCore (x y z) :precision binary64 (/ (* x (- y z)) y))
double code(double x, double y, double z) {
	return (x * (y - z)) / y;
}
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 - z)) / y
end function
public static double code(double x, double y, double z) {
	return (x * (y - z)) / y;
}
def code(x, y, z):
	return (x * (y - z)) / y
function code(x, y, z)
	return Float64(Float64(x * Float64(y - z)) / y)
end
function tmp = code(x, y, z)
	tmp = (x * (y - z)) / y;
end
code[x_, y_, z_] := N[(N[(x * N[(y - z), $MachinePrecision]), $MachinePrecision] / y), $MachinePrecision]
\begin{array}{l}

\\
\frac{x \cdot \left(y - z\right)}{y}
\end{array}

Alternative 1: 96.3% accurate, 0.8× speedup?

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

\\
\frac{x}{\frac{y}{y - z}}
\end{array}
Derivation
  1. Initial program 85.3%

    \[\frac{x \cdot \left(y - z\right)}{y} \]
  2. Add Preprocessing
  3. Applied rewrites96.6%

    \[\leadsto \color{blue}{\frac{x}{\frac{y}{y - z}}} \]
  4. Add Preprocessing

Alternative 2: 89.0% accurate, 0.6× speedup?

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -8.5 \cdot 10^{+155}:\\ \;\;\;\;1 \cdot x\\ \mathbf{elif}\;y \leq 4 \cdot 10^{+230}:\\ \;\;\;\;\frac{x}{y} \cdot \left(y - z\right)\\ \mathbf{else}:\\ \;\;\;\;1 \cdot x\\ \end{array} \end{array} \]
(FPCore (x y z)
 :precision binary64
 (if (<= y -8.5e+155)
   (* 1.0 x)
   (if (<= y 4e+230) (* (/ x y) (- y z)) (* 1.0 x))))
double code(double x, double y, double z) {
	double tmp;
	if (y <= -8.5e+155) {
		tmp = 1.0 * x;
	} else if (y <= 4e+230) {
		tmp = (x / y) * (y - z);
	} else {
		tmp = 1.0 * x;
	}
	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 <= (-8.5d+155)) then
        tmp = 1.0d0 * x
    else if (y <= 4d+230) then
        tmp = (x / y) * (y - z)
    else
        tmp = 1.0d0 * x
    end if
    code = tmp
end function
public static double code(double x, double y, double z) {
	double tmp;
	if (y <= -8.5e+155) {
		tmp = 1.0 * x;
	} else if (y <= 4e+230) {
		tmp = (x / y) * (y - z);
	} else {
		tmp = 1.0 * x;
	}
	return tmp;
}
def code(x, y, z):
	tmp = 0
	if y <= -8.5e+155:
		tmp = 1.0 * x
	elif y <= 4e+230:
		tmp = (x / y) * (y - z)
	else:
		tmp = 1.0 * x
	return tmp
function code(x, y, z)
	tmp = 0.0
	if (y <= -8.5e+155)
		tmp = Float64(1.0 * x);
	elseif (y <= 4e+230)
		tmp = Float64(Float64(x / y) * Float64(y - z));
	else
		tmp = Float64(1.0 * x);
	end
	return tmp
end
function tmp_2 = code(x, y, z)
	tmp = 0.0;
	if (y <= -8.5e+155)
		tmp = 1.0 * x;
	elseif (y <= 4e+230)
		tmp = (x / y) * (y - z);
	else
		tmp = 1.0 * x;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_] := If[LessEqual[y, -8.5e+155], N[(1.0 * x), $MachinePrecision], If[LessEqual[y, 4e+230], N[(N[(x / y), $MachinePrecision] * N[(y - z), $MachinePrecision]), $MachinePrecision], N[(1.0 * x), $MachinePrecision]]]
\begin{array}{l}

\\
\begin{array}{l}
\mathbf{if}\;y \leq -8.5 \cdot 10^{+155}:\\
\;\;\;\;1 \cdot x\\

\mathbf{elif}\;y \leq 4 \cdot 10^{+230}:\\
\;\;\;\;\frac{x}{y} \cdot \left(y - z\right)\\

\mathbf{else}:\\
\;\;\;\;1 \cdot x\\


\end{array}
\end{array}
Derivation
  1. Split input into 2 regimes
  2. if y < -8.5000000000000002e155 or 4.0000000000000004e230 < y

    1. Initial program 67.1%

      \[\frac{x \cdot \left(y - z\right)}{y} \]
    2. Add Preprocessing
    3. Applied rewrites100.0%

      \[\leadsto \color{blue}{\frac{y - z}{y} \cdot x} \]
    4. Step-by-step derivation
      1. lift-/.f64N/A

        \[\leadsto \color{blue}{\frac{y - z}{y}} \cdot x \]
      2. lift--.f64N/A

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

        \[\leadsto \color{blue}{\left(\frac{y}{y} - \frac{z}{y}\right)} \cdot x \]
      4. sub-negN/A

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

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

        \[\leadsto \color{blue}{\left(\left(\mathsf{neg}\left(\frac{z}{y}\right)\right) + 1\right)} \cdot x \]
      7. distribute-frac-neg2N/A

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

        \[\leadsto \left(\color{blue}{z \cdot \frac{1}{\mathsf{neg}\left(y\right)}} + 1\right) \cdot x \]
      9. lower-fma.f64N/A

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

        \[\leadsto \mathsf{fma}\left(z, \frac{1}{\color{blue}{-1 \cdot y}}, 1\right) \cdot x \]
      11. associate-/r*N/A

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

        \[\leadsto \mathsf{fma}\left(z, \frac{\color{blue}{-1}}{y}, 1\right) \cdot x \]
      13. lower-/.f64100.0

        \[\leadsto \mathsf{fma}\left(z, \color{blue}{\frac{-1}{y}}, 1\right) \cdot x \]
    5. Applied rewrites100.0%

      \[\leadsto \color{blue}{\mathsf{fma}\left(z, \frac{-1}{y}, 1\right)} \cdot x \]
    6. Taylor expanded in y around inf

      \[\leadsto \color{blue}{1} \cdot x \]
    7. Step-by-step derivation
      1. Applied rewrites96.1%

        \[\leadsto \color{blue}{1} \cdot x \]

      if -8.5000000000000002e155 < y < 4.0000000000000004e230

      1. Initial program 90.5%

        \[\frac{x \cdot \left(y - z\right)}{y} \]
      2. Add Preprocessing
      3. Applied rewrites91.3%

        \[\leadsto \color{blue}{\frac{x}{y} \cdot \left(y - z\right)} \]
    8. Recombined 2 regimes into one program.
    9. Add Preprocessing

    Alternative 3: 72.1% accurate, 0.6× speedup?

    \[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -5.5 \cdot 10^{-28}:\\ \;\;\;\;1 \cdot x\\ \mathbf{elif}\;y \leq 1.18 \cdot 10^{-61}:\\ \;\;\;\;\frac{-x}{y} \cdot z\\ \mathbf{else}:\\ \;\;\;\;1 \cdot x\\ \end{array} \end{array} \]
    (FPCore (x y z)
     :precision binary64
     (if (<= y -5.5e-28)
       (* 1.0 x)
       (if (<= y 1.18e-61) (* (/ (- x) y) z) (* 1.0 x))))
    double code(double x, double y, double z) {
    	double tmp;
    	if (y <= -5.5e-28) {
    		tmp = 1.0 * x;
    	} else if (y <= 1.18e-61) {
    		tmp = (-x / y) * z;
    	} else {
    		tmp = 1.0 * x;
    	}
    	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 <= (-5.5d-28)) then
            tmp = 1.0d0 * x
        else if (y <= 1.18d-61) then
            tmp = (-x / y) * z
        else
            tmp = 1.0d0 * x
        end if
        code = tmp
    end function
    
    public static double code(double x, double y, double z) {
    	double tmp;
    	if (y <= -5.5e-28) {
    		tmp = 1.0 * x;
    	} else if (y <= 1.18e-61) {
    		tmp = (-x / y) * z;
    	} else {
    		tmp = 1.0 * x;
    	}
    	return tmp;
    }
    
    def code(x, y, z):
    	tmp = 0
    	if y <= -5.5e-28:
    		tmp = 1.0 * x
    	elif y <= 1.18e-61:
    		tmp = (-x / y) * z
    	else:
    		tmp = 1.0 * x
    	return tmp
    
    function code(x, y, z)
    	tmp = 0.0
    	if (y <= -5.5e-28)
    		tmp = Float64(1.0 * x);
    	elseif (y <= 1.18e-61)
    		tmp = Float64(Float64(Float64(-x) / y) * z);
    	else
    		tmp = Float64(1.0 * x);
    	end
    	return tmp
    end
    
    function tmp_2 = code(x, y, z)
    	tmp = 0.0;
    	if (y <= -5.5e-28)
    		tmp = 1.0 * x;
    	elseif (y <= 1.18e-61)
    		tmp = (-x / y) * z;
    	else
    		tmp = 1.0 * x;
    	end
    	tmp_2 = tmp;
    end
    
    code[x_, y_, z_] := If[LessEqual[y, -5.5e-28], N[(1.0 * x), $MachinePrecision], If[LessEqual[y, 1.18e-61], N[(N[((-x) / y), $MachinePrecision] * z), $MachinePrecision], N[(1.0 * x), $MachinePrecision]]]
    
    \begin{array}{l}
    
    \\
    \begin{array}{l}
    \mathbf{if}\;y \leq -5.5 \cdot 10^{-28}:\\
    \;\;\;\;1 \cdot x\\
    
    \mathbf{elif}\;y \leq 1.18 \cdot 10^{-61}:\\
    \;\;\;\;\frac{-x}{y} \cdot z\\
    
    \mathbf{else}:\\
    \;\;\;\;1 \cdot x\\
    
    
    \end{array}
    \end{array}
    
    Derivation
    1. Split input into 2 regimes
    2. if y < -5.49999999999999967e-28 or 1.1800000000000001e-61 < y

      1. Initial program 80.0%

        \[\frac{x \cdot \left(y - z\right)}{y} \]
      2. Add Preprocessing
      3. Applied rewrites99.9%

        \[\leadsto \color{blue}{\frac{y - z}{y} \cdot x} \]
      4. Step-by-step derivation
        1. lift-/.f64N/A

          \[\leadsto \color{blue}{\frac{y - z}{y}} \cdot x \]
        2. lift--.f64N/A

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

          \[\leadsto \color{blue}{\left(\frac{y}{y} - \frac{z}{y}\right)} \cdot x \]
        4. sub-negN/A

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

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

          \[\leadsto \color{blue}{\left(\left(\mathsf{neg}\left(\frac{z}{y}\right)\right) + 1\right)} \cdot x \]
        7. distribute-frac-neg2N/A

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

          \[\leadsto \left(\color{blue}{z \cdot \frac{1}{\mathsf{neg}\left(y\right)}} + 1\right) \cdot x \]
        9. lower-fma.f64N/A

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

          \[\leadsto \mathsf{fma}\left(z, \frac{1}{\color{blue}{-1 \cdot y}}, 1\right) \cdot x \]
        11. associate-/r*N/A

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

          \[\leadsto \mathsf{fma}\left(z, \frac{\color{blue}{-1}}{y}, 1\right) \cdot x \]
        13. lower-/.f6499.9

          \[\leadsto \mathsf{fma}\left(z, \color{blue}{\frac{-1}{y}}, 1\right) \cdot x \]
      5. Applied rewrites99.9%

        \[\leadsto \color{blue}{\mathsf{fma}\left(z, \frac{-1}{y}, 1\right)} \cdot x \]
      6. Taylor expanded in y around inf

        \[\leadsto \color{blue}{1} \cdot x \]
      7. Step-by-step derivation
        1. Applied rewrites80.4%

          \[\leadsto \color{blue}{1} \cdot x \]

        if -5.49999999999999967e-28 < y < 1.1800000000000001e-61

        1. Initial program 92.8%

          \[\frac{x \cdot \left(y - z\right)}{y} \]
        2. Add Preprocessing
        3. Taylor expanded in y around 0

          \[\leadsto \color{blue}{-1 \cdot \frac{x \cdot z}{y}} \]
        4. Step-by-step derivation
          1. associate-*l/N/A

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

            \[\leadsto \color{blue}{\left(-1 \cdot \frac{x}{y}\right) \cdot z} \]
          3. lower-*.f64N/A

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

            \[\leadsto \color{blue}{\frac{-1 \cdot x}{y}} \cdot z \]
          5. lower-/.f64N/A

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

            \[\leadsto \frac{\color{blue}{\mathsf{neg}\left(x\right)}}{y} \cdot z \]
          7. lower-neg.f6476.4

            \[\leadsto \frac{\color{blue}{-x}}{y} \cdot z \]
        5. Applied rewrites76.4%

          \[\leadsto \color{blue}{\frac{-x}{y} \cdot z} \]
      8. Recombined 2 regimes into one program.
      9. Add Preprocessing

      Alternative 4: 95.9% accurate, 1.0× speedup?

      \[\begin{array}{l} \\ \frac{y - z}{y} \cdot x \end{array} \]
      (FPCore (x y z) :precision binary64 (* (/ (- y z) y) x))
      double code(double x, double y, double z) {
      	return ((y - z) / y) * x;
      }
      
      real(8) function code(x, y, z)
          real(8), intent (in) :: x
          real(8), intent (in) :: y
          real(8), intent (in) :: z
          code = ((y - z) / y) * x
      end function
      
      public static double code(double x, double y, double z) {
      	return ((y - z) / y) * x;
      }
      
      def code(x, y, z):
      	return ((y - z) / y) * x
      
      function code(x, y, z)
      	return Float64(Float64(Float64(y - z) / y) * x)
      end
      
      function tmp = code(x, y, z)
      	tmp = ((y - z) / y) * x;
      end
      
      code[x_, y_, z_] := N[(N[(N[(y - z), $MachinePrecision] / y), $MachinePrecision] * x), $MachinePrecision]
      
      \begin{array}{l}
      
      \\
      \frac{y - z}{y} \cdot x
      \end{array}
      
      Derivation
      1. Initial program 85.3%

        \[\frac{x \cdot \left(y - z\right)}{y} \]
      2. Add Preprocessing
      3. Applied rewrites96.2%

        \[\leadsto \color{blue}{\frac{y - z}{y} \cdot x} \]
      4. Add Preprocessing

      Alternative 5: 50.5% accurate, 3.3× speedup?

      \[\begin{array}{l} \\ 1 \cdot x \end{array} \]
      (FPCore (x y z) :precision binary64 (* 1.0 x))
      double code(double x, double y, double z) {
      	return 1.0 * x;
      }
      
      real(8) function code(x, y, z)
          real(8), intent (in) :: x
          real(8), intent (in) :: y
          real(8), intent (in) :: z
          code = 1.0d0 * x
      end function
      
      public static double code(double x, double y, double z) {
      	return 1.0 * x;
      }
      
      def code(x, y, z):
      	return 1.0 * x
      
      function code(x, y, z)
      	return Float64(1.0 * x)
      end
      
      function tmp = code(x, y, z)
      	tmp = 1.0 * x;
      end
      
      code[x_, y_, z_] := N[(1.0 * x), $MachinePrecision]
      
      \begin{array}{l}
      
      \\
      1 \cdot x
      \end{array}
      
      Derivation
      1. Initial program 85.3%

        \[\frac{x \cdot \left(y - z\right)}{y} \]
      2. Add Preprocessing
      3. Applied rewrites96.2%

        \[\leadsto \color{blue}{\frac{y - z}{y} \cdot x} \]
      4. Step-by-step derivation
        1. lift-/.f64N/A

          \[\leadsto \color{blue}{\frac{y - z}{y}} \cdot x \]
        2. lift--.f64N/A

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

          \[\leadsto \color{blue}{\left(\frac{y}{y} - \frac{z}{y}\right)} \cdot x \]
        4. sub-negN/A

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

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

          \[\leadsto \color{blue}{\left(\left(\mathsf{neg}\left(\frac{z}{y}\right)\right) + 1\right)} \cdot x \]
        7. distribute-frac-neg2N/A

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

          \[\leadsto \left(\color{blue}{z \cdot \frac{1}{\mathsf{neg}\left(y\right)}} + 1\right) \cdot x \]
        9. lower-fma.f64N/A

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

          \[\leadsto \mathsf{fma}\left(z, \frac{1}{\color{blue}{-1 \cdot y}}, 1\right) \cdot x \]
        11. associate-/r*N/A

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

          \[\leadsto \mathsf{fma}\left(z, \frac{\color{blue}{-1}}{y}, 1\right) \cdot x \]
        13. lower-/.f6496.2

          \[\leadsto \mathsf{fma}\left(z, \color{blue}{\frac{-1}{y}}, 1\right) \cdot x \]
      5. Applied rewrites96.2%

        \[\leadsto \color{blue}{\mathsf{fma}\left(z, \frac{-1}{y}, 1\right)} \cdot x \]
      6. Taylor expanded in y around inf

        \[\leadsto \color{blue}{1} \cdot x \]
      7. Step-by-step derivation
        1. Applied rewrites56.2%

          \[\leadsto \color{blue}{1} \cdot x \]
        2. Add Preprocessing

        Developer Target 1: 96.1% accurate, 0.5× speedup?

        \[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z < -2.060202331921739 \cdot 10^{+104}:\\ \;\;\;\;x - \frac{z \cdot x}{y}\\ \mathbf{elif}\;z < 1.6939766013828526 \cdot 10^{+213}:\\ \;\;\;\;\frac{x}{\frac{y}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;\left(y - z\right) \cdot \frac{x}{y}\\ \end{array} \end{array} \]
        (FPCore (x y z)
         :precision binary64
         (if (< z -2.060202331921739e+104)
           (- x (/ (* z x) y))
           (if (< z 1.6939766013828526e+213) (/ x (/ y (- y z))) (* (- y z) (/ x y)))))
        double code(double x, double y, double z) {
        	double tmp;
        	if (z < -2.060202331921739e+104) {
        		tmp = x - ((z * x) / y);
        	} else if (z < 1.6939766013828526e+213) {
        		tmp = x / (y / (y - z));
        	} else {
        		tmp = (y - z) * (x / y);
        	}
        	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 (z < (-2.060202331921739d+104)) then
                tmp = x - ((z * x) / y)
            else if (z < 1.6939766013828526d+213) then
                tmp = x / (y / (y - z))
            else
                tmp = (y - z) * (x / y)
            end if
            code = tmp
        end function
        
        public static double code(double x, double y, double z) {
        	double tmp;
        	if (z < -2.060202331921739e+104) {
        		tmp = x - ((z * x) / y);
        	} else if (z < 1.6939766013828526e+213) {
        		tmp = x / (y / (y - z));
        	} else {
        		tmp = (y - z) * (x / y);
        	}
        	return tmp;
        }
        
        def code(x, y, z):
        	tmp = 0
        	if z < -2.060202331921739e+104:
        		tmp = x - ((z * x) / y)
        	elif z < 1.6939766013828526e+213:
        		tmp = x / (y / (y - z))
        	else:
        		tmp = (y - z) * (x / y)
        	return tmp
        
        function code(x, y, z)
        	tmp = 0.0
        	if (z < -2.060202331921739e+104)
        		tmp = Float64(x - Float64(Float64(z * x) / y));
        	elseif (z < 1.6939766013828526e+213)
        		tmp = Float64(x / Float64(y / Float64(y - z)));
        	else
        		tmp = Float64(Float64(y - z) * Float64(x / y));
        	end
        	return tmp
        end
        
        function tmp_2 = code(x, y, z)
        	tmp = 0.0;
        	if (z < -2.060202331921739e+104)
        		tmp = x - ((z * x) / y);
        	elseif (z < 1.6939766013828526e+213)
        		tmp = x / (y / (y - z));
        	else
        		tmp = (y - z) * (x / y);
        	end
        	tmp_2 = tmp;
        end
        
        code[x_, y_, z_] := If[Less[z, -2.060202331921739e+104], N[(x - N[(N[(z * x), $MachinePrecision] / y), $MachinePrecision]), $MachinePrecision], If[Less[z, 1.6939766013828526e+213], N[(x / N[(y / N[(y - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y - z), $MachinePrecision] * N[(x / y), $MachinePrecision]), $MachinePrecision]]]
        
        \begin{array}{l}
        
        \\
        \begin{array}{l}
        \mathbf{if}\;z < -2.060202331921739 \cdot 10^{+104}:\\
        \;\;\;\;x - \frac{z \cdot x}{y}\\
        
        \mathbf{elif}\;z < 1.6939766013828526 \cdot 10^{+213}:\\
        \;\;\;\;\frac{x}{\frac{y}{y - z}}\\
        
        \mathbf{else}:\\
        \;\;\;\;\left(y - z\right) \cdot \frac{x}{y}\\
        
        
        \end{array}
        \end{array}
        

        Reproduce

        ?
        herbie shell --seed 2024298 
        (FPCore (x y z)
          :name "Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3"
          :precision binary64
        
          :alt
          (! :herbie-platform default (if (< z -206020233192173900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (- x (/ (* z x) y)) (if (< z 1693976601382852600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ x (/ y (- y z))) (* (- y z) (/ x y)))))
        
          (/ (* x (- y z)) y))