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

Percentage Accurate: 81.5% → 99.4%
Time: 4.7s
Alternatives: 2
Speedup: 1.8×

Specification

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

\\
x \cdot \frac{\frac{y}{z} \cdot t}{t}
\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 2 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: 81.5% accurate, 1.0× speedup?

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

\\
x \cdot \frac{\frac{y}{z} \cdot t}{t}
\end{array}

Alternative 1: 99.4% accurate, 0.9× speedup?

\[\begin{array}{l} x\_m = \left|x\right| \\ x\_s = \mathsf{copysign}\left(1, x\right) \\ y\_m = \left|y\right| \\ y\_s = \mathsf{copysign}\left(1, y\right) \\ z\_m = \left|z\right| \\ z\_s = \mathsf{copysign}\left(1, z\right) \\ [x_m, y_m, z_m, t] = \mathsf{sort}([x_m, y_m, z_m, t])\\ \\ z\_s \cdot \left(y\_s \cdot \left(x\_s \cdot \begin{array}{l} \mathbf{if}\;z\_m \leq 6 \cdot 10^{-51}:\\ \;\;\;\;\frac{x\_m}{z\_m} \cdot y\_m\\ \mathbf{else}:\\ \;\;\;\;x\_m \cdot \frac{y\_m}{z\_m}\\ \end{array}\right)\right) \end{array} \]
x\_m = (fabs.f64 x)
x\_s = (copysign.f64 #s(literal 1 binary64) x)
y\_m = (fabs.f64 y)
y\_s = (copysign.f64 #s(literal 1 binary64) y)
z\_m = (fabs.f64 z)
z\_s = (copysign.f64 #s(literal 1 binary64) z)
NOTE: x_m, y_m, z_m, and t should be sorted in increasing order before calling this function.
(FPCore (z_s y_s x_s x_m y_m z_m t)
 :precision binary64
 (*
  z_s
  (* y_s (* x_s (if (<= z_m 6e-51) (* (/ x_m z_m) y_m) (* x_m (/ y_m z_m)))))))
x\_m = fabs(x);
x\_s = copysign(1.0, x);
y\_m = fabs(y);
y\_s = copysign(1.0, y);
z\_m = fabs(z);
z\_s = copysign(1.0, z);
assert(x_m < y_m && y_m < z_m && z_m < t);
double code(double z_s, double y_s, double x_s, double x_m, double y_m, double z_m, double t) {
	double tmp;
	if (z_m <= 6e-51) {
		tmp = (x_m / z_m) * y_m;
	} else {
		tmp = x_m * (y_m / z_m);
	}
	return z_s * (y_s * (x_s * tmp));
}
x\_m = abs(x)
x\_s = copysign(1.0d0, x)
y\_m = abs(y)
y\_s = copysign(1.0d0, y)
z\_m = abs(z)
z\_s = copysign(1.0d0, z)
NOTE: x_m, y_m, z_m, and t should be sorted in increasing order before calling this function.
real(8) function code(z_s, y_s, x_s, x_m, y_m, z_m, t)
    real(8), intent (in) :: z_s
    real(8), intent (in) :: y_s
    real(8), intent (in) :: x_s
    real(8), intent (in) :: x_m
    real(8), intent (in) :: y_m
    real(8), intent (in) :: z_m
    real(8), intent (in) :: t
    real(8) :: tmp
    if (z_m <= 6d-51) then
        tmp = (x_m / z_m) * y_m
    else
        tmp = x_m * (y_m / z_m)
    end if
    code = z_s * (y_s * (x_s * tmp))
end function
x\_m = Math.abs(x);
x\_s = Math.copySign(1.0, x);
y\_m = Math.abs(y);
y\_s = Math.copySign(1.0, y);
z\_m = Math.abs(z);
z\_s = Math.copySign(1.0, z);
assert x_m < y_m && y_m < z_m && z_m < t;
public static double code(double z_s, double y_s, double x_s, double x_m, double y_m, double z_m, double t) {
	double tmp;
	if (z_m <= 6e-51) {
		tmp = (x_m / z_m) * y_m;
	} else {
		tmp = x_m * (y_m / z_m);
	}
	return z_s * (y_s * (x_s * tmp));
}
x\_m = math.fabs(x)
x\_s = math.copysign(1.0, x)
y\_m = math.fabs(y)
y\_s = math.copysign(1.0, y)
z\_m = math.fabs(z)
z\_s = math.copysign(1.0, z)
[x_m, y_m, z_m, t] = sort([x_m, y_m, z_m, t])
def code(z_s, y_s, x_s, x_m, y_m, z_m, t):
	tmp = 0
	if z_m <= 6e-51:
		tmp = (x_m / z_m) * y_m
	else:
		tmp = x_m * (y_m / z_m)
	return z_s * (y_s * (x_s * tmp))
x\_m = abs(x)
x\_s = copysign(1.0, x)
y\_m = abs(y)
y\_s = copysign(1.0, y)
z\_m = abs(z)
z\_s = copysign(1.0, z)
x_m, y_m, z_m, t = sort([x_m, y_m, z_m, t])
function code(z_s, y_s, x_s, x_m, y_m, z_m, t)
	tmp = 0.0
	if (z_m <= 6e-51)
		tmp = Float64(Float64(x_m / z_m) * y_m);
	else
		tmp = Float64(x_m * Float64(y_m / z_m));
	end
	return Float64(z_s * Float64(y_s * Float64(x_s * tmp)))
end
x\_m = abs(x);
x\_s = sign(x) * abs(1.0);
y\_m = abs(y);
y\_s = sign(y) * abs(1.0);
z\_m = abs(z);
z\_s = sign(z) * abs(1.0);
x_m, y_m, z_m, t = num2cell(sort([x_m, y_m, z_m, t])){:}
function tmp_2 = code(z_s, y_s, x_s, x_m, y_m, z_m, t)
	tmp = 0.0;
	if (z_m <= 6e-51)
		tmp = (x_m / z_m) * y_m;
	else
		tmp = x_m * (y_m / z_m);
	end
	tmp_2 = z_s * (y_s * (x_s * tmp));
end
x\_m = N[Abs[x], $MachinePrecision]
x\_s = N[With[{TMP1 = Abs[1.0], TMP2 = Sign[x]}, TMP1 * If[TMP2 == 0, 1, TMP2]], $MachinePrecision]
y\_m = N[Abs[y], $MachinePrecision]
y\_s = N[With[{TMP1 = Abs[1.0], TMP2 = Sign[y]}, TMP1 * If[TMP2 == 0, 1, TMP2]], $MachinePrecision]
z\_m = N[Abs[z], $MachinePrecision]
z\_s = N[With[{TMP1 = Abs[1.0], TMP2 = Sign[z]}, TMP1 * If[TMP2 == 0, 1, TMP2]], $MachinePrecision]
NOTE: x_m, y_m, z_m, and t should be sorted in increasing order before calling this function.
code[z$95$s_, y$95$s_, x$95$s_, x$95$m_, y$95$m_, z$95$m_, t_] := N[(z$95$s * N[(y$95$s * N[(x$95$s * If[LessEqual[z$95$m, 6e-51], N[(N[(x$95$m / z$95$m), $MachinePrecision] * y$95$m), $MachinePrecision], N[(x$95$m * N[(y$95$m / z$95$m), $MachinePrecision]), $MachinePrecision]]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
x\_m = \left|x\right|
\\
x\_s = \mathsf{copysign}\left(1, x\right)
\\
y\_m = \left|y\right|
\\
y\_s = \mathsf{copysign}\left(1, y\right)
\\
z\_m = \left|z\right|
\\
z\_s = \mathsf{copysign}\left(1, z\right)
\\
[x_m, y_m, z_m, t] = \mathsf{sort}([x_m, y_m, z_m, t])\\
\\
z\_s \cdot \left(y\_s \cdot \left(x\_s \cdot \begin{array}{l}
\mathbf{if}\;z\_m \leq 6 \cdot 10^{-51}:\\
\;\;\;\;\frac{x\_m}{z\_m} \cdot y\_m\\

\mathbf{else}:\\
\;\;\;\;x\_m \cdot \frac{y\_m}{z\_m}\\


\end{array}\right)\right)
\end{array}
Derivation
  1. Split input into 2 regimes
  2. if z < 6.00000000000000005e-51

    1. Initial program 79.7%

      \[x \cdot \frac{\frac{y}{z} \cdot t}{t} \]
    2. Add Preprocessing
    3. Step-by-step derivation
      1. clear-numN/A

        \[\leadsto x \cdot \frac{1}{\color{blue}{\frac{t}{\frac{y}{z} \cdot t}}} \]
      2. un-div-invN/A

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

        \[\leadsto \frac{x}{\frac{t}{t \cdot \color{blue}{\frac{y}{z}}}} \]
      4. associate-/r*N/A

        \[\leadsto \frac{x}{\frac{\frac{t}{t}}{\color{blue}{\frac{y}{z}}}} \]
      5. *-inversesN/A

        \[\leadsto \frac{x}{\frac{1}{\frac{\color{blue}{y}}{z}}} \]
      6. clear-numN/A

        \[\leadsto \frac{x}{\frac{z}{\color{blue}{y}}} \]
      7. associate-/r/N/A

        \[\leadsto \frac{x}{z} \cdot \color{blue}{y} \]
      8. *-lowering-*.f64N/A

        \[\leadsto \mathsf{*.f64}\left(\left(\frac{x}{z}\right), \color{blue}{y}\right) \]
      9. /-lowering-/.f6492.0%

        \[\leadsto \mathsf{*.f64}\left(\mathsf{/.f64}\left(x, z\right), y\right) \]
    4. Applied egg-rr92.0%

      \[\leadsto \color{blue}{\frac{x}{z} \cdot y} \]

    if 6.00000000000000005e-51 < z

    1. Initial program 90.4%

      \[x \cdot \frac{\frac{y}{z} \cdot t}{t} \]
    2. Add Preprocessing
    3. Step-by-step derivation
      1. associate-*r/N/A

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

        \[\leadsto \frac{\left(x \cdot \frac{y}{z}\right) \cdot t}{t} \]
      3. associate-/l*N/A

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

        \[\leadsto \left(x \cdot \frac{y}{z}\right) \cdot 1 \]
      5. *-rgt-identityN/A

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

        \[\leadsto \frac{y}{z} \cdot \color{blue}{x} \]
      7. *-lowering-*.f64N/A

        \[\leadsto \mathsf{*.f64}\left(\left(\frac{y}{z}\right), \color{blue}{x}\right) \]
      8. /-lowering-/.f6498.0%

        \[\leadsto \mathsf{*.f64}\left(\mathsf{/.f64}\left(y, z\right), x\right) \]
    4. Applied egg-rr98.0%

      \[\leadsto \color{blue}{\frac{y}{z} \cdot x} \]
  3. Recombined 2 regimes into one program.
  4. Final simplification93.8%

    \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq 6 \cdot 10^{-51}:\\ \;\;\;\;\frac{x}{z} \cdot y\\ \mathbf{else}:\\ \;\;\;\;x \cdot \frac{y}{z}\\ \end{array} \]
  5. Add Preprocessing

Alternative 2: 92.6% accurate, 1.8× speedup?

\[\begin{array}{l} x\_m = \left|x\right| \\ x\_s = \mathsf{copysign}\left(1, x\right) \\ y\_m = \left|y\right| \\ y\_s = \mathsf{copysign}\left(1, y\right) \\ z\_m = \left|z\right| \\ z\_s = \mathsf{copysign}\left(1, z\right) \\ [x_m, y_m, z_m, t] = \mathsf{sort}([x_m, y_m, z_m, t])\\ \\ z\_s \cdot \left(y\_s \cdot \left(x\_s \cdot \left(\frac{x\_m}{z\_m} \cdot y\_m\right)\right)\right) \end{array} \]
x\_m = (fabs.f64 x)
x\_s = (copysign.f64 #s(literal 1 binary64) x)
y\_m = (fabs.f64 y)
y\_s = (copysign.f64 #s(literal 1 binary64) y)
z\_m = (fabs.f64 z)
z\_s = (copysign.f64 #s(literal 1 binary64) z)
NOTE: x_m, y_m, z_m, and t should be sorted in increasing order before calling this function.
(FPCore (z_s y_s x_s x_m y_m z_m t)
 :precision binary64
 (* z_s (* y_s (* x_s (* (/ x_m z_m) y_m)))))
x\_m = fabs(x);
x\_s = copysign(1.0, x);
y\_m = fabs(y);
y\_s = copysign(1.0, y);
z\_m = fabs(z);
z\_s = copysign(1.0, z);
assert(x_m < y_m && y_m < z_m && z_m < t);
double code(double z_s, double y_s, double x_s, double x_m, double y_m, double z_m, double t) {
	return z_s * (y_s * (x_s * ((x_m / z_m) * y_m)));
}
x\_m = abs(x)
x\_s = copysign(1.0d0, x)
y\_m = abs(y)
y\_s = copysign(1.0d0, y)
z\_m = abs(z)
z\_s = copysign(1.0d0, z)
NOTE: x_m, y_m, z_m, and t should be sorted in increasing order before calling this function.
real(8) function code(z_s, y_s, x_s, x_m, y_m, z_m, t)
    real(8), intent (in) :: z_s
    real(8), intent (in) :: y_s
    real(8), intent (in) :: x_s
    real(8), intent (in) :: x_m
    real(8), intent (in) :: y_m
    real(8), intent (in) :: z_m
    real(8), intent (in) :: t
    code = z_s * (y_s * (x_s * ((x_m / z_m) * y_m)))
end function
x\_m = Math.abs(x);
x\_s = Math.copySign(1.0, x);
y\_m = Math.abs(y);
y\_s = Math.copySign(1.0, y);
z\_m = Math.abs(z);
z\_s = Math.copySign(1.0, z);
assert x_m < y_m && y_m < z_m && z_m < t;
public static double code(double z_s, double y_s, double x_s, double x_m, double y_m, double z_m, double t) {
	return z_s * (y_s * (x_s * ((x_m / z_m) * y_m)));
}
x\_m = math.fabs(x)
x\_s = math.copysign(1.0, x)
y\_m = math.fabs(y)
y\_s = math.copysign(1.0, y)
z\_m = math.fabs(z)
z\_s = math.copysign(1.0, z)
[x_m, y_m, z_m, t] = sort([x_m, y_m, z_m, t])
def code(z_s, y_s, x_s, x_m, y_m, z_m, t):
	return z_s * (y_s * (x_s * ((x_m / z_m) * y_m)))
x\_m = abs(x)
x\_s = copysign(1.0, x)
y\_m = abs(y)
y\_s = copysign(1.0, y)
z\_m = abs(z)
z\_s = copysign(1.0, z)
x_m, y_m, z_m, t = sort([x_m, y_m, z_m, t])
function code(z_s, y_s, x_s, x_m, y_m, z_m, t)
	return Float64(z_s * Float64(y_s * Float64(x_s * Float64(Float64(x_m / z_m) * y_m))))
end
x\_m = abs(x);
x\_s = sign(x) * abs(1.0);
y\_m = abs(y);
y\_s = sign(y) * abs(1.0);
z\_m = abs(z);
z\_s = sign(z) * abs(1.0);
x_m, y_m, z_m, t = num2cell(sort([x_m, y_m, z_m, t])){:}
function tmp = code(z_s, y_s, x_s, x_m, y_m, z_m, t)
	tmp = z_s * (y_s * (x_s * ((x_m / z_m) * y_m)));
end
x\_m = N[Abs[x], $MachinePrecision]
x\_s = N[With[{TMP1 = Abs[1.0], TMP2 = Sign[x]}, TMP1 * If[TMP2 == 0, 1, TMP2]], $MachinePrecision]
y\_m = N[Abs[y], $MachinePrecision]
y\_s = N[With[{TMP1 = Abs[1.0], TMP2 = Sign[y]}, TMP1 * If[TMP2 == 0, 1, TMP2]], $MachinePrecision]
z\_m = N[Abs[z], $MachinePrecision]
z\_s = N[With[{TMP1 = Abs[1.0], TMP2 = Sign[z]}, TMP1 * If[TMP2 == 0, 1, TMP2]], $MachinePrecision]
NOTE: x_m, y_m, z_m, and t should be sorted in increasing order before calling this function.
code[z$95$s_, y$95$s_, x$95$s_, x$95$m_, y$95$m_, z$95$m_, t_] := N[(z$95$s * N[(y$95$s * N[(x$95$s * N[(N[(x$95$m / z$95$m), $MachinePrecision] * y$95$m), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\begin{array}{l}
x\_m = \left|x\right|
\\
x\_s = \mathsf{copysign}\left(1, x\right)
\\
y\_m = \left|y\right|
\\
y\_s = \mathsf{copysign}\left(1, y\right)
\\
z\_m = \left|z\right|
\\
z\_s = \mathsf{copysign}\left(1, z\right)
\\
[x_m, y_m, z_m, t] = \mathsf{sort}([x_m, y_m, z_m, t])\\
\\
z\_s \cdot \left(y\_s \cdot \left(x\_s \cdot \left(\frac{x\_m}{z\_m} \cdot y\_m\right)\right)\right)
\end{array}
Derivation
  1. Initial program 82.8%

    \[x \cdot \frac{\frac{y}{z} \cdot t}{t} \]
  2. Add Preprocessing
  3. Step-by-step derivation
    1. clear-numN/A

      \[\leadsto x \cdot \frac{1}{\color{blue}{\frac{t}{\frac{y}{z} \cdot t}}} \]
    2. un-div-invN/A

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

      \[\leadsto \frac{x}{\frac{t}{t \cdot \color{blue}{\frac{y}{z}}}} \]
    4. associate-/r*N/A

      \[\leadsto \frac{x}{\frac{\frac{t}{t}}{\color{blue}{\frac{y}{z}}}} \]
    5. *-inversesN/A

      \[\leadsto \frac{x}{\frac{1}{\frac{\color{blue}{y}}{z}}} \]
    6. clear-numN/A

      \[\leadsto \frac{x}{\frac{z}{\color{blue}{y}}} \]
    7. associate-/r/N/A

      \[\leadsto \frac{x}{z} \cdot \color{blue}{y} \]
    8. *-lowering-*.f64N/A

      \[\leadsto \mathsf{*.f64}\left(\left(\frac{x}{z}\right), \color{blue}{y}\right) \]
    9. /-lowering-/.f6491.8%

      \[\leadsto \mathsf{*.f64}\left(\mathsf{/.f64}\left(x, z\right), y\right) \]
  4. Applied egg-rr91.8%

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

Developer Target 1: 96.9% accurate, 0.2× speedup?

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \frac{y}{z}\\ t_2 := \frac{\frac{y}{z} \cdot t}{t}\\ t_3 := \frac{y}{\frac{z}{x}}\\ \mathbf{if}\;t\_2 < -1.20672205123045 \cdot 10^{+245}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t\_2 < -5.907522236933906 \cdot 10^{-275}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t\_2 < 5.658954423153415 \cdot 10^{-65}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;t\_2 < 2.0087180502407133 \cdot 10^{+217}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;\frac{y \cdot x}{z}\\ \end{array} \end{array} \]
(FPCore (x y z t)
 :precision binary64
 (let* ((t_1 (* x (/ y z))) (t_2 (/ (* (/ y z) t) t)) (t_3 (/ y (/ z x))))
   (if (< t_2 -1.20672205123045e+245)
     t_3
     (if (< t_2 -5.907522236933906e-275)
       t_1
       (if (< t_2 5.658954423153415e-65)
         t_3
         (if (< t_2 2.0087180502407133e+217) t_1 (/ (* y x) z)))))))
double code(double x, double y, double z, double t) {
	double t_1 = x * (y / z);
	double t_2 = ((y / z) * t) / t;
	double t_3 = y / (z / x);
	double tmp;
	if (t_2 < -1.20672205123045e+245) {
		tmp = t_3;
	} else if (t_2 < -5.907522236933906e-275) {
		tmp = t_1;
	} else if (t_2 < 5.658954423153415e-65) {
		tmp = t_3;
	} else if (t_2 < 2.0087180502407133e+217) {
		tmp = t_1;
	} else {
		tmp = (y * x) / z;
	}
	return tmp;
}
real(8) function code(x, y, z, t)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = x * (y / z)
    t_2 = ((y / z) * t) / t
    t_3 = y / (z / x)
    if (t_2 < (-1.20672205123045d+245)) then
        tmp = t_3
    else if (t_2 < (-5.907522236933906d-275)) then
        tmp = t_1
    else if (t_2 < 5.658954423153415d-65) then
        tmp = t_3
    else if (t_2 < 2.0087180502407133d+217) then
        tmp = t_1
    else
        tmp = (y * x) / z
    end if
    code = tmp
end function
public static double code(double x, double y, double z, double t) {
	double t_1 = x * (y / z);
	double t_2 = ((y / z) * t) / t;
	double t_3 = y / (z / x);
	double tmp;
	if (t_2 < -1.20672205123045e+245) {
		tmp = t_3;
	} else if (t_2 < -5.907522236933906e-275) {
		tmp = t_1;
	} else if (t_2 < 5.658954423153415e-65) {
		tmp = t_3;
	} else if (t_2 < 2.0087180502407133e+217) {
		tmp = t_1;
	} else {
		tmp = (y * x) / z;
	}
	return tmp;
}
def code(x, y, z, t):
	t_1 = x * (y / z)
	t_2 = ((y / z) * t) / t
	t_3 = y / (z / x)
	tmp = 0
	if t_2 < -1.20672205123045e+245:
		tmp = t_3
	elif t_2 < -5.907522236933906e-275:
		tmp = t_1
	elif t_2 < 5.658954423153415e-65:
		tmp = t_3
	elif t_2 < 2.0087180502407133e+217:
		tmp = t_1
	else:
		tmp = (y * x) / z
	return tmp
function code(x, y, z, t)
	t_1 = Float64(x * Float64(y / z))
	t_2 = Float64(Float64(Float64(y / z) * t) / t)
	t_3 = Float64(y / Float64(z / x))
	tmp = 0.0
	if (t_2 < -1.20672205123045e+245)
		tmp = t_3;
	elseif (t_2 < -5.907522236933906e-275)
		tmp = t_1;
	elseif (t_2 < 5.658954423153415e-65)
		tmp = t_3;
	elseif (t_2 < 2.0087180502407133e+217)
		tmp = t_1;
	else
		tmp = Float64(Float64(y * x) / z);
	end
	return tmp
end
function tmp_2 = code(x, y, z, t)
	t_1 = x * (y / z);
	t_2 = ((y / z) * t) / t;
	t_3 = y / (z / x);
	tmp = 0.0;
	if (t_2 < -1.20672205123045e+245)
		tmp = t_3;
	elseif (t_2 < -5.907522236933906e-275)
		tmp = t_1;
	elseif (t_2 < 5.658954423153415e-65)
		tmp = t_3;
	elseif (t_2 < 2.0087180502407133e+217)
		tmp = t_1;
	else
		tmp = (y * x) / z;
	end
	tmp_2 = tmp;
end
code[x_, y_, z_, t_] := Block[{t$95$1 = N[(x * N[(y / z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(y / z), $MachinePrecision] * t), $MachinePrecision] / t), $MachinePrecision]}, Block[{t$95$3 = N[(y / N[(z / x), $MachinePrecision]), $MachinePrecision]}, If[Less[t$95$2, -1.20672205123045e+245], t$95$3, If[Less[t$95$2, -5.907522236933906e-275], t$95$1, If[Less[t$95$2, 5.658954423153415e-65], t$95$3, If[Less[t$95$2, 2.0087180502407133e+217], t$95$1, N[(N[(y * x), $MachinePrecision] / z), $MachinePrecision]]]]]]]]
\begin{array}{l}

\\
\begin{array}{l}
t_1 := x \cdot \frac{y}{z}\\
t_2 := \frac{\frac{y}{z} \cdot t}{t}\\
t_3 := \frac{y}{\frac{z}{x}}\\
\mathbf{if}\;t\_2 < -1.20672205123045 \cdot 10^{+245}:\\
\;\;\;\;t\_3\\

\mathbf{elif}\;t\_2 < -5.907522236933906 \cdot 10^{-275}:\\
\;\;\;\;t\_1\\

\mathbf{elif}\;t\_2 < 5.658954423153415 \cdot 10^{-65}:\\
\;\;\;\;t\_3\\

\mathbf{elif}\;t\_2 < 2.0087180502407133 \cdot 10^{+217}:\\
\;\;\;\;t\_1\\

\mathbf{else}:\\
\;\;\;\;\frac{y \cdot x}{z}\\


\end{array}
\end{array}

Reproduce

?
herbie shell --seed 2024191 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B"
  :precision binary64

  :alt
  (! :herbie-platform default (if (< (/ (* (/ y z) t) t) -120672205123045000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ y (/ z x)) (if (< (/ (* (/ y z) t) t) -2953761118466953/50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (* x (/ y z)) (if (< (/ (* (/ y z) t) t) 1131790884630683/20000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ y (/ z x)) (if (< (/ (* (/ y z) t) t) 20087180502407133000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (* x (/ y z)) (/ (* y x) z))))))

  (* x (/ (* (/ y z) t) t)))