Graphics.Rendering.Chart.Axis.Types:invLinMap from Chart-1.5.3

Percentage Accurate: 73.8% → 93.8%

Time: 37.1s

Precision: binary64

Cost: 1352

• could not determine a ground truth

  1. x = 5.508523892515958e+271
  2. y = -8.24990851045654e+153
  3. z = -3.219310755323823e+247
  4. t = -3.3340147131301236e-124
  5. a = 1.8418394727125254e+257

Math

\[x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]

↓

\[\begin{array}{l} \mathbf{if}\;z \leq -1.45 \cdot 10^{+16}:\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;z \leq 10^{-15}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;\left(t - \frac{y}{\frac{z}{t - x}}\right) + \frac{\left(t - x\right) \cdot a}{z}\\ \end{array} \]

FPCore

(FPCore (x y z t a) :precision binary64 (+ x (/ (* (- y z) (- t x)) (- a z))))

↓

(FPCore (x y z t a)
 :precision binary64
 (if (<= z -1.45e+16)
   (+ t (* (/ y z) (- x t)))
   (if (<= z 1e-15)
     (+ x (* (- t x) (/ (- y z) (- a z))))
     (+ (- t (/ y (/ z (- t x)))) (/ (* (- t x) a) z)))))

C

double code(double x, double y, double z, double t, double a) {
	return x + (((y - z) * (t - x)) / (a - z));
}

↓

double code(double x, double y, double z, double t, double a) {
	double tmp;
	if (z <= -1.45e+16) {
		tmp = t + ((y / z) * (x - t));
	} else if (z <= 1e-15) {
		tmp = x + ((t - x) * ((y - z) / (a - z)));
	} else {
		tmp = (t - (y / (z / (t - x)))) + (((t - x) * a) / z);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    code = x + (((y - z) * (t - x)) / (a - z))
end function

↓

real(8) function code(x, y, z, t, a)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8) :: tmp
    if (z <= (-1.45d+16)) then
        tmp = t + ((y / z) * (x - t))
    else if (z <= 1d-15) then
        tmp = x + ((t - x) * ((y - z) / (a - z)))
    else
        tmp = (t - (y / (z / (t - x)))) + (((t - x) * a) / z)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a) {
	return x + (((y - z) * (t - x)) / (a - z));
}

↓

public static double code(double x, double y, double z, double t, double a) {
	double tmp;
	if (z <= -1.45e+16) {
		tmp = t + ((y / z) * (x - t));
	} else if (z <= 1e-15) {
		tmp = x + ((t - x) * ((y - z) / (a - z)));
	} else {
		tmp = (t - (y / (z / (t - x)))) + (((t - x) * a) / z);
	}
	return tmp;
}

Python

def code(x, y, z, t, a):
	return x + (((y - z) * (t - x)) / (a - z))

↓

def code(x, y, z, t, a):
	tmp = 0
	if z <= -1.45e+16:
		tmp = t + ((y / z) * (x - t))
	elif z <= 1e-15:
		tmp = x + ((t - x) * ((y - z) / (a - z)))
	else:
		tmp = (t - (y / (z / (t - x)))) + (((t - x) * a) / z)
	return tmp

Julia

function code(x, y, z, t, a)
	return Float64(x + Float64(Float64(Float64(y - z) * Float64(t - x)) / Float64(a - z)))
end

↓

function code(x, y, z, t, a)
	tmp = 0.0
	if (z <= -1.45e+16)
		tmp = Float64(t + Float64(Float64(y / z) * Float64(x - t)));
	elseif (z <= 1e-15)
		tmp = Float64(x + Float64(Float64(t - x) * Float64(Float64(y - z) / Float64(a - z))));
	else
		tmp = Float64(Float64(t - Float64(y / Float64(z / Float64(t - x)))) + Float64(Float64(Float64(t - x) * a) / z));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a)
	tmp = x + (((y - z) * (t - x)) / (a - z));
end

↓

function tmp_2 = code(x, y, z, t, a)
	tmp = 0.0;
	if (z <= -1.45e+16)
		tmp = t + ((y / z) * (x - t));
	elseif (z <= 1e-15)
		tmp = x + ((t - x) * ((y - z) / (a - z)));
	else
		tmp = (t - (y / (z / (t - x)))) + (((t - x) * a) / z);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_] := N[(x + N[(N[(N[(y - z), $MachinePrecision] * N[(t - x), $MachinePrecision]), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_] := If[LessEqual[z, -1.45e+16], N[(t + N[(N[(y / z), $MachinePrecision] * N[(x - t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1e-15], N[(x + N[(N[(t - x), $MachinePrecision] * N[(N[(y - z), $MachinePrecision] / N[(a - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(t - N[(y / N[(z / N[(t - x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t - x), $MachinePrecision] * a), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision]]]

Target

Original	73.8%
Target	89.7%
Herbie	93.8%

\[\begin{array}{l} \mathbf{if}\;z < -1.2536131056095036 \cdot 10^{+188}:\\ \;\;\;\;t - \frac{y}{z} \cdot \left(t - x\right)\\ \mathbf{elif}\;z < 4.446702369113811 \cdot 10^{+64}:\\ \;\;\;\;x + \frac{y - z}{\frac{a - z}{t - x}}\\ \mathbf{else}:\\ \;\;\;\;t - \frac{y}{z} \cdot \left(t - x\right)\\ \end{array} \]

Derivation

1. Split input into 3 regimes

2. if z < -1.45e16

   1. Initial program 48.6%

      \[x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]

   2. Simplified 63.3%

      \[\leadsto \color{blue}{x + \frac{y - z}{a - z} \cdot \left(t - x\right)} \]
      Step-by-step derivation

      [Start] 48.6%	\[ x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]
      associate-*l/ [<=] 63.3%	\[ x + \color{blue}{\frac{y - z}{a - z} \cdot \left(t - x\right)} \]

   3. Taylor expanded in z around inf 91.6%

      \[\leadsto \color{blue}{\left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z}} \]

   4. Simplified 95.8%

      \[\leadsto \color{blue}{\left(t - \frac{y}{\frac{z}{t - x}}\right) + \frac{a \cdot \left(t - x\right)}{z}} \]
      Step-by-step derivation

      [Start] 91.6%	\[ \left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]
      sub-neg [=>] 91.6%	\[ \color{blue}{\left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right)} \]
      +-commutative [=>] 91.6%	\[ \color{blue}{\left(t + -1 \cdot \frac{y \cdot \left(t - x\right)}{z}\right)} + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      mul-1-neg [=>] 91.6%	\[ \left(t + \color{blue}{\left(-\frac{y \cdot \left(t - x\right)}{z}\right)}\right) + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      unsub-neg [=>] 91.6%	\[ \color{blue}{\left(t - \frac{y \cdot \left(t - x\right)}{z}\right)} + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      associate-/l* [=>] 95.8%	\[ \left(t - \color{blue}{\frac{y}{\frac{z}{t - x}}}\right) + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      mul-1-neg [=>] 95.8%	\[ \left(t - \frac{y}{\frac{z}{t - x}}\right) + \left(-\color{blue}{\left(-\frac{a \cdot \left(t - x\right)}{z}\right)}\right) \]
      remove-double-neg [=>] 95.8%	\[ \left(t - \frac{y}{\frac{z}{t - x}}\right) + \color{blue}{\frac{a \cdot \left(t - x\right)}{z}} \]

   5. Taylor expanded in a around 0 88.7%

      \[\leadsto \color{blue}{t - \frac{y \cdot \left(t - x\right)}{z}} \]

   6. Simplified 97.1%

      \[\leadsto \color{blue}{t - \left(t - x\right) \cdot \frac{y}{z}} \]
      Step-by-step derivation

      [Start] 88.7%	\[ t - \frac{y \cdot \left(t - x\right)}{z} \]
      associate-*l/ [<=] 97.1%	\[ t - \color{blue}{\frac{y}{z} \cdot \left(t - x\right)} \]
      *-commutative [=>] 97.1%	\[ t - \color{blue}{\left(t - x\right) \cdot \frac{y}{z}} \]

   if -1.45e16 < z < 1.0000000000000001e-15

   1. Initial program 90.0%

      \[x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]

   2. Simplified 92.0%

      \[\leadsto \color{blue}{x + \frac{y - z}{a - z} \cdot \left(t - x\right)} \]
      Step-by-step derivation

      [Start] 90.0%	\[ x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]
      associate-*l/ [<=] 92.0%	\[ x + \color{blue}{\frac{y - z}{a - z} \cdot \left(t - x\right)} \]

   if 1.0000000000000001e-15 < z

   1. Initial program 40.8%

      \[x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]

   2. Simplified 53.5%

      \[\leadsto \color{blue}{x + \frac{y - z}{a - z} \cdot \left(t - x\right)} \]
      Step-by-step derivation

      [Start] 40.8%	\[ x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]
      associate-*l/ [<=] 53.5%	\[ x + \color{blue}{\frac{y - z}{a - z} \cdot \left(t - x\right)} \]

   3. Taylor expanded in z around inf 88.8%

      \[\leadsto \color{blue}{\left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z}} \]

   4. Simplified 95.1%

      \[\leadsto \color{blue}{\left(t - \frac{y}{\frac{z}{t - x}}\right) + \frac{a \cdot \left(t - x\right)}{z}} \]
      Step-by-step derivation

      [Start] 88.8%	\[ \left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) - -1 \cdot \frac{a \cdot \left(t - x\right)}{z} \]
      sub-neg [=>] 88.8%	\[ \color{blue}{\left(-1 \cdot \frac{y \cdot \left(t - x\right)}{z} + t\right) + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right)} \]
      +-commutative [=>] 88.8%	\[ \color{blue}{\left(t + -1 \cdot \frac{y \cdot \left(t - x\right)}{z}\right)} + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      mul-1-neg [=>] 88.8%	\[ \left(t + \color{blue}{\left(-\frac{y \cdot \left(t - x\right)}{z}\right)}\right) + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      unsub-neg [=>] 88.8%	\[ \color{blue}{\left(t - \frac{y \cdot \left(t - x\right)}{z}\right)} + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      associate-/l* [=>] 95.1%	\[ \left(t - \color{blue}{\frac{y}{\frac{z}{t - x}}}\right) + \left(--1 \cdot \frac{a \cdot \left(t - x\right)}{z}\right) \]
      mul-1-neg [=>] 95.1%	\[ \left(t - \frac{y}{\frac{z}{t - x}}\right) + \left(-\color{blue}{\left(-\frac{a \cdot \left(t - x\right)}{z}\right)}\right) \]
      remove-double-neg [=>] 95.1%	\[ \left(t - \frac{y}{\frac{z}{t - x}}\right) + \color{blue}{\frac{a \cdot \left(t - x\right)}{z}} \]

3. Recombined 3 regimes into one program.

4. Final simplification 93.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.45 \cdot 10^{+16}:\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;z \leq 10^{-15}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;\left(t - \frac{y}{\frac{z}{t - x}}\right) + \frac{\left(t - x\right) \cdot a}{z}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	93.8%
Cost	1352

\[\begin{array}{l} \mathbf{if}\;z \leq -1.45 \cdot 10^{+16}:\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;z \leq 10^{-15}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;\left(t - \frac{y}{\frac{z}{t - x}}\right) + \frac{\left(t - x\right) \cdot a}{z}\\ \end{array} \]

Alternative 2
Accuracy	53.5%
Cost	1572

\[\begin{array}{l} t_1 := y \cdot \frac{t - x}{a}\\ t_2 := x \cdot \left(1 - \frac{y}{a}\right)\\ \mathbf{if}\;z \leq -2.1 \cdot 10^{+21}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-199}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-280}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{-44}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{+40}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{+97}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 4.1 \cdot 10^{+114}:\\ \;\;\;\;\frac{t \cdot \left(-y\right)}{z}\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 3
Accuracy	54.0%
Cost	1436

\[\begin{array}{l} t_1 := y \cdot \frac{t - x}{a}\\ t_2 := x \cdot \left(1 - \frac{y}{a}\right)\\ \mathbf{if}\;z \leq -1.7 \cdot 10^{+20}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -2.65 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.4 \cdot 10^{-280}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.56 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.8 \cdot 10^{-45}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{+34}:\\ \;\;\;\;\frac{-y}{\frac{a - z}{x}}\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 4
Accuracy	53.8%
Cost	1240

\[\begin{array}{l} t_1 := y \cdot \frac{t - x}{a}\\ t_2 := x \cdot \left(1 - \frac{y}{a}\right)\\ \mathbf{if}\;z \leq -1.65 \cdot 10^{+20}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-199}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.52 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.5 \cdot 10^{-280}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 10^{-15}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 5
Accuracy	93.3%
Cost	1097

\[\begin{array}{l} \mathbf{if}\;z \leq -4.5 \cdot 10^{+15} \lor \neg \left(z \leq 1.9 \cdot 10^{-15}\right):\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{else}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y - z}{a - z}\\ \end{array} \]

Alternative 6
Accuracy	64.0%
Cost	972

\[\begin{array}{l} \mathbf{if}\;a \leq -4.8 \cdot 10^{+122}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-56}:\\ \;\;\;\;y \cdot \frac{t - x}{a - z}\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{+15}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(1 - \frac{y}{a}\right)\\ \end{array} \]

Alternative 7
Accuracy	88.1%
Cost	969

\[\begin{array}{l} \mathbf{if}\;z \leq -4.5 \cdot 10^{+15} \lor \neg \left(z \leq 1.9 \cdot 10^{-15}\right):\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{else}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y}{a - z}\\ \end{array} \]

Alternative 8
Accuracy	59.8%
Cost	908

\[\begin{array}{l} t_1 := x + \frac{y}{\frac{a}{t}}\\ \mathbf{if}\;a \leq -4.8 \cdot 10^{+122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -6.7 \cdot 10^{-56}:\\ \;\;\;\;y \cdot \frac{t - x}{a}\\ \mathbf{elif}\;a \leq 1350000000:\\ \;\;\;\;\frac{-t}{\frac{z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 9
Accuracy	71.5%
Cost	841

\[\begin{array}{l} \mathbf{if}\;z \leq -3.05 \cdot 10^{-18} \lor \neg \left(z \leq 2.7 \cdot 10^{-24}\right):\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t - x}}\\ \end{array} \]

Alternative 10
Accuracy	79.4%
Cost	841

\[\begin{array}{l} \mathbf{if}\;z \leq -4.5 \cdot 10^{+15} \lor \neg \left(z \leq 7 \cdot 10^{-45}\right):\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t - x}}\\ \end{array} \]

Alternative 11
Accuracy	65.9%
Cost	840

\[\begin{array}{l} \mathbf{if}\;a \leq -1.04 \cdot 10^{+16}:\\ \;\;\;\;x + \frac{y}{\frac{a}{t}}\\ \mathbf{elif}\;a \leq 6 \cdot 10^{+15}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(1 - \frac{y}{a}\right)\\ \end{array} \]

Alternative 12
Accuracy	40.9%
Cost	712

\[\begin{array}{l} \mathbf{if}\;a \leq -4.7 \cdot 10^{+159}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -4.8 \cdot 10^{-64}:\\ \;\;\;\;t \cdot \frac{y}{a - z}\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{+15}:\\ \;\;\;\;t\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 13
Accuracy	54.1%
Cost	712

\[\begin{array}{l} \mathbf{if}\;z \leq -1.65 \cdot 10^{+20}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{-20}:\\ \;\;\;\;x \cdot \left(1 - \frac{y}{a}\right)\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 14
Accuracy	40.3%
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -4.7 \cdot 10^{+159}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -5.6 \cdot 10^{-58}:\\ \;\;\;\;t \cdot \frac{y}{a}\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+15}:\\ \;\;\;\;t\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 15
Accuracy	40.4%
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -4.7 \cdot 10^{+159}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-60}:\\ \;\;\;\;\frac{y}{\frac{a}{t}}\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{+15}:\\ \;\;\;\;t\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 16
Accuracy	42.0%
Cost	328

\[\begin{array}{l} \mathbf{if}\;a \leq -4 \cdot 10^{+15}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{+15}:\\ \;\;\;\;t\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 17
Accuracy	24.4%
Cost	64

\[t \]

Reproduce

herbie shell --seed 2023277 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.Axis.Types:invLinMap from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (if (< z -1.2536131056095036e+188) (- t (* (/ y z) (- t x))) (if (< z 4.446702369113811e+64) (+ x (/ (- y z) (/ (- a z) (- t x)))) (- t (* (/ y z) (- t x)))))

  (+ x (/ (* (- y z) (- t x)) (- a z))))