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

Percentage Accurate: 68.6% → 87.8%

Time: 31.4s

Precision: binary64

Cost: 1096

Math

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

↓

\[\begin{array}{l} \mathbf{if}\;z \leq -7.2 \cdot 10^{+168}:\\ \;\;\;\;t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{elif}\;z \leq 9 \cdot 10^{+88}:\\ \;\;\;\;x - \frac{x - t}{\frac{a - z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;t + \frac{a - y}{\frac{z}{t - x}}\\ \end{array} \]

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 -7.2e+168)
   (+ t (/ (- a y) (/ (- z) x)))
   (if (<= z 9e+88)
     (- x (/ (- x t) (/ (- a z) (- y z))))
     (+ t (/ (- a y) (/ z (- t x)))))))

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 <= -7.2e+168) {
		tmp = t + ((a - y) / (-z / x));
	} else if (z <= 9e+88) {
		tmp = x - ((x - t) / ((a - z) / (y - z)));
	} else {
		tmp = t + ((a - y) / (z / (t - x)));
	}
	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 <= (-7.2d+168)) then
        tmp = t + ((a - y) / (-z / x))
    else if (z <= 9d+88) then
        tmp = x - ((x - t) / ((a - z) / (y - z)))
    else
        tmp = t + ((a - y) / (z / (t - x)))
    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 <= -7.2e+168) {
		tmp = t + ((a - y) / (-z / x));
	} else if (z <= 9e+88) {
		tmp = x - ((x - t) / ((a - z) / (y - z)));
	} else {
		tmp = t + ((a - y) / (z / (t - x)));
	}
	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 <= -7.2e+168:
		tmp = t + ((a - y) / (-z / x))
	elif z <= 9e+88:
		tmp = x - ((x - t) / ((a - z) / (y - z)))
	else:
		tmp = t + ((a - y) / (z / (t - x)))
	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 <= -7.2e+168)
		tmp = Float64(t + Float64(Float64(a - y) / Float64(Float64(-z) / x)));
	elseif (z <= 9e+88)
		tmp = Float64(x - Float64(Float64(x - t) / Float64(Float64(a - z) / Float64(y - z))));
	else
		tmp = Float64(t + Float64(Float64(a - y) / Float64(z / Float64(t - x))));
	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 <= -7.2e+168)
		tmp = t + ((a - y) / (-z / x));
	elseif (z <= 9e+88)
		tmp = x - ((x - t) / ((a - z) / (y - z)));
	else
		tmp = t + ((a - y) / (z / (t - x)));
	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, -7.2e+168], N[(t + N[(N[(a - y), $MachinePrecision] / N[((-z) / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 9e+88], N[(x - N[(N[(x - t), $MachinePrecision] / N[(N[(a - z), $MachinePrecision] / N[(y - z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t + N[(N[(a - y), $MachinePrecision] / N[(z / N[(t - x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Target

Original	68.6%
Target	83.8%
Herbie	87.8%

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

Derivation

1. Split input into 3 regimes

2. if z < -7.1999999999999999e168

   1. Initial program 17.5%

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

   2. Simplified 51.7%

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

      [Start] 17.5%	\[ x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]
      +-commutative [=>] 17.5%	\[ \color{blue}{\frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} + x} \]
      associate-*l/ [<=] 51.7%	\[ \color{blue}{\frac{y - z}{a - z} \cdot \left(t - x\right)} + x \]
      fma-def [=>] 51.7%	\[ \color{blue}{\mathsf{fma}\left(\frac{y - z}{a - z}, t - x, x\right)} \]

   3. Taylor expanded in z around inf 66.7%

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

   4. Simplified 93.4%

      \[\leadsto \color{blue}{t - \frac{y - a}{\frac{z}{t - x}}} \]
      Step-by-step derivation

      [Start] 66.7%	\[ \frac{\left(-1 \cdot y - -1 \cdot a\right) \cdot \left(t - x\right)}{z} + t \]
      +-commutative [=>] 66.7%	\[ \color{blue}{t + \frac{\left(-1 \cdot y - -1 \cdot a\right) \cdot \left(t - x\right)}{z}} \]
      associate-/l* [=>] 93.4%	\[ t + \color{blue}{\frac{-1 \cdot y - -1 \cdot a}{\frac{z}{t - x}}} \]
      distribute-lft-out-- [=>] 93.4%	\[ t + \frac{\color{blue}{-1 \cdot \left(y - a\right)}}{\frac{z}{t - x}} \]
      mul-1-neg [=>] 93.4%	\[ t + \frac{\color{blue}{-\left(y - a\right)}}{\frac{z}{t - x}} \]
      distribute-neg-frac [<=] 93.4%	\[ t + \color{blue}{\left(-\frac{y - a}{\frac{z}{t - x}}\right)} \]
      associate-/l* [<=] 66.7%	\[ t + \left(-\color{blue}{\frac{\left(y - a\right) \cdot \left(t - x\right)}{z}}\right) \]
      *-commutative [=>] 66.7%	\[ t + \left(-\frac{\color{blue}{\left(t - x\right) \cdot \left(y - a\right)}}{z}\right) \]
      distribute-rgt-out-- [<=] 66.7%	\[ t + \left(-\frac{\color{blue}{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}}{z}\right) \]
      unsub-neg [=>] 66.7%	\[ \color{blue}{t - \frac{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}{z}} \]
      distribute-rgt-out-- [=>] 66.7%	\[ t - \frac{\color{blue}{\left(t - x\right) \cdot \left(y - a\right)}}{z} \]
      *-commutative [<=] 66.7%	\[ t - \frac{\color{blue}{\left(y - a\right) \cdot \left(t - x\right)}}{z} \]
      associate-/l* [=>] 93.4%	\[ t - \color{blue}{\frac{y - a}{\frac{z}{t - x}}} \]

   5. Taylor expanded in t around 0 93.4%

      \[\leadsto t - \frac{y - a}{\color{blue}{-1 \cdot \frac{z}{x}}} \]

   6. Simplified 93.4%

      \[\leadsto t - \frac{y - a}{\color{blue}{\frac{-z}{x}}} \]
      Step-by-step derivation

      [Start] 93.4%	\[ t - \frac{y - a}{-1 \cdot \frac{z}{x}} \]
      associate-*r/ [=>] 93.4%	\[ t - \frac{y - a}{\color{blue}{\frac{-1 \cdot z}{x}}} \]
      neg-mul-1 [<=] 93.4%	\[ t - \frac{y - a}{\frac{\color{blue}{-z}}{x}} \]

   if -7.1999999999999999e168 < z < 9e88

   1. Initial program 84.8%

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

   2. Simplified 93.2%

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

      [Start] 84.8%	\[ x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]
      associate-*l/ [<=] 93.2%	\[ x + \color{blue}{\frac{y - z}{a - z} \cdot \left(t - x\right)} \]

   3. Applied egg-rr 93.6%

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

      [Start] 93.2%	\[ x + \frac{y - z}{a - z} \cdot \left(t - x\right) \]
      *-commutative [=>] 93.2%	\[ x + \color{blue}{\left(t - x\right) \cdot \frac{y - z}{a - z}} \]
      clear-num [=>] 93.1%	\[ x + \left(t - x\right) \cdot \color{blue}{\frac{1}{\frac{a - z}{y - z}}} \]
      un-div-inv [=>] 93.6%	\[ x + \color{blue}{\frac{t - x}{\frac{a - z}{y - z}}} \]

   if 9e88 < z

   1. Initial program 39.1%

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

   2. Simplified 65.7%

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

      [Start] 39.1%	\[ x + \frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} \]
      +-commutative [=>] 39.1%	\[ \color{blue}{\frac{\left(y - z\right) \cdot \left(t - x\right)}{a - z} + x} \]
      associate-*l/ [<=] 65.6%	\[ \color{blue}{\frac{y - z}{a - z} \cdot \left(t - x\right)} + x \]
      fma-def [=>] 65.7%	\[ \color{blue}{\mathsf{fma}\left(\frac{y - z}{a - z}, t - x, x\right)} \]

   3. Taylor expanded in z around inf 72.0%

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

   4. Simplified 86.9%

      \[\leadsto \color{blue}{t - \frac{y - a}{\frac{z}{t - x}}} \]
      Step-by-step derivation

      [Start] 72.0%	\[ \frac{\left(-1 \cdot y - -1 \cdot a\right) \cdot \left(t - x\right)}{z} + t \]
      +-commutative [=>] 72.0%	\[ \color{blue}{t + \frac{\left(-1 \cdot y - -1 \cdot a\right) \cdot \left(t - x\right)}{z}} \]
      associate-/l* [=>] 86.9%	\[ t + \color{blue}{\frac{-1 \cdot y - -1 \cdot a}{\frac{z}{t - x}}} \]
      distribute-lft-out-- [=>] 86.9%	\[ t + \frac{\color{blue}{-1 \cdot \left(y - a\right)}}{\frac{z}{t - x}} \]
      mul-1-neg [=>] 86.9%	\[ t + \frac{\color{blue}{-\left(y - a\right)}}{\frac{z}{t - x}} \]
      distribute-neg-frac [<=] 86.9%	\[ t + \color{blue}{\left(-\frac{y - a}{\frac{z}{t - x}}\right)} \]
      associate-/l* [<=] 72.0%	\[ t + \left(-\color{blue}{\frac{\left(y - a\right) \cdot \left(t - x\right)}{z}}\right) \]
      *-commutative [=>] 72.0%	\[ t + \left(-\frac{\color{blue}{\left(t - x\right) \cdot \left(y - a\right)}}{z}\right) \]
      distribute-rgt-out-- [<=] 71.9%	\[ t + \left(-\frac{\color{blue}{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}}{z}\right) \]
      unsub-neg [=>] 71.9%	\[ \color{blue}{t - \frac{y \cdot \left(t - x\right) - a \cdot \left(t - x\right)}{z}} \]
      distribute-rgt-out-- [=>] 72.0%	\[ t - \frac{\color{blue}{\left(t - x\right) \cdot \left(y - a\right)}}{z} \]
      *-commutative [<=] 72.0%	\[ t - \frac{\color{blue}{\left(y - a\right) \cdot \left(t - x\right)}}{z} \]
      associate-/l* [=>] 86.9%	\[ t - \color{blue}{\frac{y - a}{\frac{z}{t - x}}} \]

3. Recombined 3 regimes into one program.

4. Final simplification 92.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -7.2 \cdot 10^{+168}:\\ \;\;\;\;t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{elif}\;z \leq 9 \cdot 10^{+88}:\\ \;\;\;\;x - \frac{x - t}{\frac{a - z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;t + \frac{a - y}{\frac{z}{t - x}}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	87.8%
Cost	1096

\[\begin{array}{l} \mathbf{if}\;z \leq -7.2 \cdot 10^{+168}:\\ \;\;\;\;t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{elif}\;z \leq 9 \cdot 10^{+88}:\\ \;\;\;\;x - \frac{x - t}{\frac{a - z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;t + \frac{a - y}{\frac{z}{t - x}}\\ \end{array} \]

Alternative 2
Accuracy	46.5%
Cost	1833

\[\begin{array}{l} t_1 := \frac{y}{z} \cdot \left(x - t\right)\\ t_2 := x - \frac{y \cdot x}{a}\\ t_3 := \frac{-t}{\frac{z}{y - z}}\\ \mathbf{if}\;a \leq -3.2 \cdot 10^{+225}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{+171}:\\ \;\;\;\;\frac{t \cdot \left(y - z\right)}{a}\\ \mathbf{elif}\;a \leq -9 \cdot 10^{+35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.42 \cdot 10^{-71}:\\ \;\;\;\;\frac{-t}{\frac{a - z}{z}}\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{-101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-210}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+88} \lor \neg \left(a \leq 7.5 \cdot 10^{+161}\right) \land a \leq 2.8 \cdot 10^{+201}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Accuracy	46.4%
Cost	1701

\[\begin{array}{l} t_1 := x - \frac{y \cdot x}{a}\\ \mathbf{if}\;a \leq -3.2 \cdot 10^{+225}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -1.16 \cdot 10^{+166}:\\ \;\;\;\;\frac{t \cdot \left(y - z\right)}{a}\\ \mathbf{elif}\;a \leq -2.7 \cdot 10^{+35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.3 \cdot 10^{+14}:\\ \;\;\;\;\frac{-t}{\frac{a - z}{z}}\\ \mathbf{elif}\;a \leq -1.35 \cdot 10^{-36}:\\ \;\;\;\;\frac{\left(y - a\right) \cdot x}{z}\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-100}:\\ \;\;\;\;\frac{y}{\frac{a}{t - x}}\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+88} \lor \neg \left(a \leq 1.02 \cdot 10^{+163}\right) \land a \leq 2.8 \cdot 10^{+201}:\\ \;\;\;\;\frac{-t}{\frac{z}{y - z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 4
Accuracy	57.5%
Cost	1368

\[\begin{array}{l} t_1 := y \cdot \frac{t - x}{a - z}\\ t_2 := x - \frac{y \cdot x}{a}\\ \mathbf{if}\;x \leq -2.2 \cdot 10^{+209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{+108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -0.08:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.4 \cdot 10^{+113}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{elif}\;x \leq 1.18 \cdot 10^{+165}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.9 \cdot 10^{+166}:\\ \;\;\;\;t\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 5
Accuracy	55.8%
Cost	1368

\[\begin{array}{l} t_1 := y \cdot \frac{t - x}{a - z}\\ t_2 := x - \frac{y \cdot x}{a}\\ \mathbf{if}\;x \leq -4.2 \cdot 10^{+209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{+110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -0.00275:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+40}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{+164}:\\ \;\;\;\;x + x \cdot \frac{z}{a - z}\\ \mathbf{elif}\;x \leq 1.18 \cdot 10^{+203}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\left(y - a\right) \cdot x}{z}\\ \end{array} \]

Alternative 6
Accuracy	48.0%
Cost	1306

\[\begin{array}{l} \mathbf{if}\;a \leq -3.2 \cdot 10^{+225}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq -1.5 \cdot 10^{+171}:\\ \;\;\;\;\frac{t \cdot \left(y - z\right)}{a}\\ \mathbf{elif}\;a \leq -6.2 \cdot 10^{+27} \lor \neg \left(a \leq 2.9 \cdot 10^{+88}\right) \land \left(a \leq 1.05 \cdot 10^{+163} \lor \neg \left(a \leq 2.8 \cdot 10^{+201}\right)\right):\\ \;\;\;\;x - \frac{y \cdot x}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{-t}{\frac{z}{y - z}}\\ \end{array} \]

Alternative 7
Accuracy	37.3%
Cost	1240

\[\begin{array}{l} t_1 := y \cdot \frac{t}{a - z}\\ \mathbf{if}\;z \leq -1.25 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{+39}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -1 \cdot 10^{-272}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-245}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-95}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.3 \cdot 10^{+76}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 8
Accuracy	45.5%
Cost	1240

\[\begin{array}{l} t_1 := x - \frac{y \cdot x}{a}\\ \mathbf{if}\;z \leq -1.25 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -2.75 \cdot 10^{+180}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+24}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-236}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-199}:\\ \;\;\;\;\frac{t}{\frac{a}{y - z}}\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{+76}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 9
Accuracy	45.7%
Cost	1240

\[\begin{array}{l} t_1 := x - \frac{y \cdot x}{a}\\ \mathbf{if}\;z \leq -1.45 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq -9 \cdot 10^{+25}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 8.4 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-168}:\\ \;\;\;\;\frac{y}{\frac{a}{t - x}}\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 10
Accuracy	74.5%
Cost	1232

\[\begin{array}{l} t_1 := x + \frac{y - z}{\frac{a - z}{t}}\\ t_2 := t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{if}\;z \leq -6 \cdot 10^{+168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-169}:\\ \;\;\;\;x + \frac{t - x}{\frac{a}{y}}\\ \mathbf{elif}\;z \leq 9 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Accuracy	55.5%
Cost	1104

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := x - \frac{y \cdot x}{a}\\ \mathbf{if}\;x \leq -8 \cdot 10^{+200}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.5 \cdot 10^{+116}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -4.9 \cdot 10^{-7}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{+90}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{y - a}{\frac{z}{x}}\\ \end{array} \]

Alternative 12
Accuracy	63.8%
Cost	1104

\[\begin{array}{l} t_1 := t \cdot \frac{y - z}{a - z}\\ t_2 := x + \frac{y}{\frac{a}{t - x}}\\ \mathbf{if}\;a \leq -2.05 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{-177}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-85}:\\ \;\;\;\;y \cdot \frac{t - x}{a - z}\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+89}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 13
Accuracy	71.2%
Cost	1100

\[\begin{array}{l} t_1 := t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{if}\;z \leq -6.8 \cdot 10^{+168}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-223}:\\ \;\;\;\;x + \frac{y - z}{\frac{a - z}{t}}\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{+26}:\\ \;\;\;\;x + \frac{\left(t - x\right) \cdot \left(y - z\right)}{a}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Accuracy	72.9%
Cost	1100

\[\begin{array}{l} \mathbf{if}\;z \leq -2 \cdot 10^{+169}:\\ \;\;\;\;t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-222}:\\ \;\;\;\;x + \frac{y - z}{\frac{a - z}{t}}\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{+25}:\\ \;\;\;\;x + \frac{\left(t - x\right) \cdot \left(y - z\right)}{a}\\ \mathbf{else}:\\ \;\;\;\;t + \frac{a - y}{\frac{z}{t - x}}\\ \end{array} \]

Alternative 15
Accuracy	87.7%
Cost	1096

\[\begin{array}{l} \mathbf{if}\;z \leq -2.5 \cdot 10^{+169}:\\ \;\;\;\;t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{elif}\;z \leq 8.8 \cdot 10^{+88}:\\ \;\;\;\;x + \left(t - x\right) \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;t + \frac{a - y}{\frac{z}{t - x}}\\ \end{array} \]

Alternative 16
Accuracy	37.3%
Cost	1044

\[\begin{array}{l} \mathbf{if}\;z \leq -1.25 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+25}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{-79}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{-172}:\\ \;\;\;\;-\frac{y}{\frac{z}{t}}\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{+76}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 17
Accuracy	68.9%
Cost	1036

\[\begin{array}{l} t_1 := x + \frac{t - x}{\frac{a}{y}}\\ \mathbf{if}\;a \leq -1.05 \cdot 10^{+24}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-214}:\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;a \leq 2.85 \cdot 10^{+88}:\\ \;\;\;\;t + \frac{a - y}{\frac{-z}{x}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 18
Accuracy	38.3%
Cost	980

\[\begin{array}{l} \mathbf{if}\;z \leq -1.25 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;x \cdot \frac{y}{z}\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+24}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.1 \cdot 10^{-307}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{-167}:\\ \;\;\;\;t \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+76}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 19
Accuracy	38.3%
Cost	980

\[\begin{array}{l} \mathbf{if}\;z \leq -1.3 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{+23}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-307}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.12 \cdot 10^{-166}:\\ \;\;\;\;t \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 2.55 \cdot 10^{+76}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 20
Accuracy	46.4%
Cost	976

\[\begin{array}{l} \mathbf{if}\;z \leq -1.3 \cdot 10^{+193}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;\frac{y}{\frac{z}{x}}\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{+25}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+78}:\\ \;\;\;\;x - \frac{y \cdot x}{a}\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 21
Accuracy	71.2%
Cost	972

\[\begin{array}{l} t_1 := x + \frac{t - x}{\frac{a}{y}}\\ \mathbf{if}\;a \leq -9 \cdot 10^{+24}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.9 \cdot 10^{-79}:\\ \;\;\;\;t + \frac{y}{z} \cdot \left(x - t\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{+88}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 22
Accuracy	62.6%
Cost	841

\[\begin{array}{l} \mathbf{if}\;x \leq -0.0003 \lor \neg \left(x \leq 1.12 \cdot 10^{+39}\right):\\ \;\;\;\;x + \frac{t - x}{\frac{a}{y}}\\ \mathbf{else}:\\ \;\;\;\;t \cdot \frac{y - z}{a - z}\\ \end{array} \]

Alternative 23
Accuracy	38.5%
Cost	716

\[\begin{array}{l} \mathbf{if}\;z \leq -3.2 \cdot 10^{+24}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-245}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-168}:\\ \;\;\;\;y \cdot \frac{t}{a}\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+77}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 24
Accuracy	38.7%
Cost	716

\[\begin{array}{l} \mathbf{if}\;z \leq -1.8 \cdot 10^{+22}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-307}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 6.2 \cdot 10^{-168}:\\ \;\;\;\;t \cdot \frac{y}{a}\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{+75}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 25
Accuracy	39.2%
Cost	328

\[\begin{array}{l} \mathbf{if}\;z \leq -8 \cdot 10^{+25}:\\ \;\;\;\;t\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+78}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t\\ \end{array} \]

Alternative 26
Accuracy	25.2%
Cost	64

\[t \]

Reproduce

herbie shell --seed 2023263 
(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))))