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

Percentage Accurate: 68.3% → 88.9%

Time: 19.9s

Precision: binary64

Cost: 1353

Math

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

↓

\[\begin{array}{l} t_1 := \frac{t}{y - x}\\ \mathbf{if}\;t \leq -7.5 \cdot 10^{+198} \lor \neg \left(t \leq 6 \cdot 10^{+153}\right):\\ \;\;\;\;\left(y - \frac{z}{t_1}\right) + \frac{a}{t_1}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{a - t}{z - t}}\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a)
 :precision binary64
 (let* ((t_1 (/ t (- y x))))
   (if (or (<= t -7.5e+198) (not (<= t 6e+153)))
     (+ (- y (/ z t_1)) (/ a t_1))
     (+ x (/ (- y x) (/ (- a t) (- z t)))))))

C

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

↓

double code(double x, double y, double z, double t, double a) {
	double t_1 = t / (y - x);
	double tmp;
	if ((t <= -7.5e+198) || !(t <= 6e+153)) {
		tmp = (y - (z / t_1)) + (a / t_1);
	} else {
		tmp = x + ((y - x) / ((a - t) / (z - t)));
	}
	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 - x) * (z - t)) / (a - t))
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) :: t_1
    real(8) :: tmp
    t_1 = t / (y - x)
    if ((t <= (-7.5d+198)) .or. (.not. (t <= 6d+153))) then
        tmp = (y - (z / t_1)) + (a / t_1)
    else
        tmp = x + ((y - x) / ((a - t) / (z - t)))
    end if
    code = tmp
end function

Java

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

↓

public static double code(double x, double y, double z, double t, double a) {
	double t_1 = t / (y - x);
	double tmp;
	if ((t <= -7.5e+198) || !(t <= 6e+153)) {
		tmp = (y - (z / t_1)) + (a / t_1);
	} else {
		tmp = x + ((y - x) / ((a - t) / (z - t)));
	}
	return tmp;
}

Python

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

↓

def code(x, y, z, t, a):
	t_1 = t / (y - x)
	tmp = 0
	if (t <= -7.5e+198) or not (t <= 6e+153):
		tmp = (y - (z / t_1)) + (a / t_1)
	else:
		tmp = x + ((y - x) / ((a - t) / (z - t)))
	return tmp

Julia

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

↓

function code(x, y, z, t, a)
	t_1 = Float64(t / Float64(y - x))
	tmp = 0.0
	if ((t <= -7.5e+198) || !(t <= 6e+153))
		tmp = Float64(Float64(y - Float64(z / t_1)) + Float64(a / t_1));
	else
		tmp = Float64(x + Float64(Float64(y - x) / Float64(Float64(a - t) / Float64(z - t))));
	end
	return tmp
end

MATLAB

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

↓

function tmp_2 = code(x, y, z, t, a)
	t_1 = t / (y - x);
	tmp = 0.0;
	if ((t <= -7.5e+198) || ~((t <= 6e+153)))
		tmp = (y - (z / t_1)) + (a / t_1);
	else
		tmp = x + ((y - x) / ((a - t) / (z - t)));
	end
	tmp_2 = tmp;
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_] := Block[{t$95$1 = N[(t / N[(y - x), $MachinePrecision]), $MachinePrecision]}, If[Or[LessEqual[t, -7.5e+198], N[Not[LessEqual[t, 6e+153]], $MachinePrecision]], N[(N[(y - N[(z / t$95$1), $MachinePrecision]), $MachinePrecision] + N[(a / t$95$1), $MachinePrecision]), $MachinePrecision], N[(x + N[(N[(y - x), $MachinePrecision] / N[(N[(a - t), $MachinePrecision] / N[(z - t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Target

Original	68.3%
Target	86.7%
Herbie	88.9%

\[\begin{array}{l} \mathbf{if}\;a < -1.6153062845442575 \cdot 10^{-142}:\\ \;\;\;\;x + \frac{y - x}{1} \cdot \frac{z - t}{a - t}\\ \mathbf{elif}\;a < 3.774403170083174 \cdot 10^{-182}:\\ \;\;\;\;y - \frac{z}{t} \cdot \left(y - x\right)\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{1} \cdot \frac{z - t}{a - t}\\ \end{array} \]

Derivation

1. Split input into 2 regimes

2. if t < -7.5000000000000002e198 or 6.00000000000000037e153 < t

   1. Initial program 22.7%

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

   2. Simplified 65.0%

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

      [Start] 22.7%	\[ x + \frac{\left(y - x\right) \cdot \left(z - t\right)}{a - t} \]
      associate-/l* [=>] 65.0%	\[ x + \color{blue}{\frac{y - x}{\frac{a - t}{z - t}}} \]

   3. Taylor expanded in t around inf 60.8%

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

   4. Simplified 88.9%

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

      [Start] 60.8%	\[ \left(-1 \cdot \frac{z \cdot \left(y - x\right)}{t} + y\right) - -1 \cdot \frac{a \cdot \left(y - x\right)}{t} \]
      sub-neg [=>] 60.8%	\[ \color{blue}{\left(-1 \cdot \frac{z \cdot \left(y - x\right)}{t} + y\right) + \left(--1 \cdot \frac{a \cdot \left(y - x\right)}{t}\right)} \]
      +-commutative [=>] 60.8%	\[ \color{blue}{\left(y + -1 \cdot \frac{z \cdot \left(y - x\right)}{t}\right)} + \left(--1 \cdot \frac{a \cdot \left(y - x\right)}{t}\right) \]
      mul-1-neg [=>] 60.8%	\[ \left(y + \color{blue}{\left(-\frac{z \cdot \left(y - x\right)}{t}\right)}\right) + \left(--1 \cdot \frac{a \cdot \left(y - x\right)}{t}\right) \]
      unsub-neg [=>] 60.8%	\[ \color{blue}{\left(y - \frac{z \cdot \left(y - x\right)}{t}\right)} + \left(--1 \cdot \frac{a \cdot \left(y - x\right)}{t}\right) \]
      associate-/l* [=>] 67.6%	\[ \left(y - \color{blue}{\frac{z}{\frac{t}{y - x}}}\right) + \left(--1 \cdot \frac{a \cdot \left(y - x\right)}{t}\right) \]
      mul-1-neg [=>] 67.6%	\[ \left(y - \frac{z}{\frac{t}{y - x}}\right) + \left(-\color{blue}{\left(-\frac{a \cdot \left(y - x\right)}{t}\right)}\right) \]
      remove-double-neg [=>] 67.6%	\[ \left(y - \frac{z}{\frac{t}{y - x}}\right) + \color{blue}{\frac{a \cdot \left(y - x\right)}{t}} \]
      associate-/l* [=>] 88.9%	\[ \left(y - \frac{z}{\frac{t}{y - x}}\right) + \color{blue}{\frac{a}{\frac{t}{y - x}}} \]

   if -7.5000000000000002e198 < t < 6.00000000000000037e153

   1. Initial program 80.4%

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

   2. Simplified 93.0%

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

      [Start] 80.4%	\[ x + \frac{\left(y - x\right) \cdot \left(z - t\right)}{a - t} \]
      associate-/l* [=>] 93.0%	\[ x + \color{blue}{\frac{y - x}{\frac{a - t}{z - t}}} \]

3. Recombined 2 regimes into one program.

4. Final simplification 92.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7.5 \cdot 10^{+198} \lor \neg \left(t \leq 6 \cdot 10^{+153}\right):\\ \;\;\;\;\left(y - \frac{z}{\frac{t}{y - x}}\right) + \frac{a}{\frac{t}{y - x}}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{a - t}{z - t}}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	88.9%
Cost	1353

\[\begin{array}{l} t_1 := \frac{t}{y - x}\\ \mathbf{if}\;t \leq -7.5 \cdot 10^{+198} \lor \neg \left(t \leq 6 \cdot 10^{+153}\right):\\ \;\;\;\;\left(y - \frac{z}{t_1}\right) + \frac{a}{t_1}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{a - t}{z - t}}\\ \end{array} \]

Alternative 2
Accuracy	90.5%
Cost	2761

\[\begin{array}{l} t_1 := x - \frac{\left(y - x\right) \cdot \left(t - z\right)}{a - t}\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-266} \lor \neg \left(t_1 \leq 0\right):\\ \;\;\;\;x + \frac{y - x}{\frac{a - t}{z - t}}\\ \mathbf{else}:\\ \;\;\;\;y - \frac{z \cdot \left(y - x\right) + a \cdot \left(x - y\right)}{t}\\ \end{array} \]

Alternative 3
Accuracy	90.5%
Cost	2633

\[\begin{array}{l} t_1 := x - \frac{\left(y - x\right) \cdot \left(t - z\right)}{a - t}\\ \mathbf{if}\;t_1 \leq -1 \cdot 10^{-266} \lor \neg \left(t_1 \leq 0\right):\\ \;\;\;\;x + \frac{y - x}{\frac{a - t}{z - t}}\\ \mathbf{else}:\\ \;\;\;\;y + \frac{\left(y - x\right) \cdot \left(a - z\right)}{t}\\ \end{array} \]

Alternative 4
Accuracy	78.2%
Cost	1360

\[\begin{array}{l} t_1 := x - \frac{\left(y - x\right) \cdot \left(t - z\right)}{a - t}\\ t_2 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -2.1 \cdot 10^{+69}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -7.6 \cdot 10^{-204}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{-279}:\\ \;\;\;\;x - \frac{x - y}{\frac{a}{z}}\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 5
Accuracy	52.3%
Cost	1240

\[\begin{array}{l} t_1 := \frac{y}{1 - \frac{a}{t}}\\ \mathbf{if}\;t \leq -1.26 \cdot 10^{+141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -9 \cdot 10^{+39}:\\ \;\;\;\;\left(z - a\right) \cdot \frac{x}{t}\\ \mathbf{elif}\;t \leq -1.8 \cdot 10^{-7}:\\ \;\;\;\;x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{elif}\;t \leq -8.7 \cdot 10^{-100}:\\ \;\;\;\;y \cdot \frac{z}{a - t}\\ \mathbf{elif}\;t \leq -9 \cdot 10^{-146}:\\ \;\;\;\;z \cdot \frac{y - x}{a}\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{+130}:\\ \;\;\;\;x + \frac{y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 6
Accuracy	52.2%
Cost	1240

\[\begin{array}{l} t_1 := \frac{y}{1 - \frac{a}{t}}\\ \mathbf{if}\;t \leq -1.4 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -5 \cdot 10^{+37}:\\ \;\;\;\;\left(z - a\right) \cdot \frac{x}{t}\\ \mathbf{elif}\;t \leq -7.8 \cdot 10^{-7}:\\ \;\;\;\;x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{elif}\;t \leq -1.05 \cdot 10^{-91}:\\ \;\;\;\;\frac{y \cdot z}{a - t}\\ \mathbf{elif}\;t \leq -7.2 \cdot 10^{-146}:\\ \;\;\;\;z \cdot \frac{y - x}{a}\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{+129}:\\ \;\;\;\;x + \frac{y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Accuracy	52.1%
Cost	1240

\[\begin{array}{l} t_1 := \frac{y}{1 - \frac{a}{t}}\\ \mathbf{if}\;t \leq -1.1 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{+34}:\\ \;\;\;\;\left(z - a\right) \cdot \frac{x}{t}\\ \mathbf{elif}\;t \leq -7.8 \cdot 10^{-7}:\\ \;\;\;\;x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-97}:\\ \;\;\;\;\frac{y \cdot z}{a - t}\\ \mathbf{elif}\;t \leq -9 \cdot 10^{-146}:\\ \;\;\;\;\frac{y - x}{\frac{a}{z}}\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{+129}:\\ \;\;\;\;x + \frac{y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 8
Accuracy	53.4%
Cost	1240

\[\begin{array}{l} t_1 := \frac{y}{1 - \frac{a}{t}}\\ \mathbf{if}\;t \leq -2.65 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -3.6 \cdot 10^{+23}:\\ \;\;\;\;\frac{z \cdot \left(x - y\right)}{t}\\ \mathbf{elif}\;t \leq -3 \cdot 10^{-73}:\\ \;\;\;\;x + y \cdot \frac{z}{a}\\ \mathbf{elif}\;t \leq -3.7 \cdot 10^{-91}:\\ \;\;\;\;\frac{-y}{\frac{t}{z - t}}\\ \mathbf{elif}\;t \leq -6.8 \cdot 10^{-147}:\\ \;\;\;\;\frac{y - x}{\frac{a}{z}}\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+131}:\\ \;\;\;\;x + \frac{y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 9
Accuracy	56.9%
Cost	1236

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -2.2 \cdot 10^{-99}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -7.8 \cdot 10^{-162}:\\ \;\;\;\;x - z \cdot \frac{x}{a}\\ \mathbf{elif}\;t \leq -4.25 \cdot 10^{-212}:\\ \;\;\;\;y \cdot \frac{z}{a - t}\\ \mathbf{elif}\;t \leq 8.2 \cdot 10^{-305}:\\ \;\;\;\;x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+79}:\\ \;\;\;\;x + \frac{y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 10
Accuracy	58.2%
Cost	1236

\[\begin{array}{l} t_1 := z \cdot \frac{y - x}{a - t}\\ t_2 := y \cdot \frac{z - t}{a - t}\\ t_3 := x + \frac{y}{\frac{a}{z}}\\ \mathbf{if}\;t \leq -2.8 \cdot 10^{+140}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-149}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-167}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-123}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 8.5 \cdot 10^{+79}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Accuracy	47.4%
Cost	1108

\[\begin{array}{l} t_1 := x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{if}\;t \leq -1.1 \cdot 10^{+140}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{+37}:\\ \;\;\;\;\left(z - a\right) \cdot \frac{x}{t}\\ \mathbf{elif}\;t \leq -1.35 \cdot 10^{-161}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -4.4 \cdot 10^{-212}:\\ \;\;\;\;y \cdot \frac{z}{a - t}\\ \mathbf{elif}\;t \leq 2.42 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 12
Accuracy	63.9%
Cost	1105

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -9 \cdot 10^{+141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.12 \cdot 10^{-63}:\\ \;\;\;\;z \cdot \frac{y - x}{a - t}\\ \mathbf{elif}\;t \leq -4.5 \cdot 10^{-91} \lor \neg \left(t \leq 2.2 \cdot 10^{+80}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x + \frac{z}{\frac{a}{y - x}}\\ \end{array} \]

Alternative 13
Accuracy	64.6%
Cost	1105

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -1.05 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.1 \cdot 10^{-63}:\\ \;\;\;\;z \cdot \frac{y - x}{a - t}\\ \mathbf{elif}\;t \leq -4.9 \cdot 10^{-91} \lor \neg \left(t \leq 8.5 \cdot 10^{+79}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x - \frac{x - y}{\frac{a}{z}}\\ \end{array} \]

Alternative 14
Accuracy	64.6%
Cost	1104

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -3.7 \cdot 10^{+141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-63}:\\ \;\;\;\;z \cdot \frac{y - x}{a - t}\\ \mathbf{elif}\;t \leq -4.9 \cdot 10^{-91}:\\ \;\;\;\;\frac{y}{\frac{a - t}{z - t}}\\ \mathbf{elif}\;t \leq 9.6 \cdot 10^{+79}:\\ \;\;\;\;x - \frac{x - y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 15
Accuracy	66.1%
Cost	1104

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -2.8 \cdot 10^{+107}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-8}:\\ \;\;\;\;x + t \cdot \frac{x - y}{a - t}\\ \mathbf{elif}\;t \leq -4.3 \cdot 10^{-91}:\\ \;\;\;\;\frac{z \cdot \left(y - x\right)}{a - t}\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+79}:\\ \;\;\;\;x - \frac{x - y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 16
Accuracy	66.2%
Cost	1104

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -1.5 \cdot 10^{+109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-9}:\\ \;\;\;\;x - \frac{t}{\frac{a - t}{y - x}}\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{-91}:\\ \;\;\;\;\frac{z \cdot \left(y - x\right)}{a - t}\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+79}:\\ \;\;\;\;x - \frac{x - y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Accuracy	37.6%
Cost	980

\[\begin{array}{l} t_1 := z \cdot \frac{y}{a}\\ \mathbf{if}\;t \leq -1.48 \cdot 10^{+116}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -2.7 \cdot 10^{-27}:\\ \;\;\;\;x\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-287}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.4 \cdot 10^{-279}:\\ \;\;\;\;x\\ \mathbf{elif}\;t \leq 1.65 \cdot 10^{-242}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.72 \cdot 10^{+129}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 18
Accuracy	36.5%
Cost	980

\[\begin{array}{l} t_1 := z \cdot \frac{y}{a}\\ \mathbf{if}\;t \leq -7.3 \cdot 10^{+140}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-47}:\\ \;\;\;\;x \cdot \frac{z}{t}\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-287}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-283}:\\ \;\;\;\;x\\ \mathbf{elif}\;t \leq 9.1 \cdot 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 7.4 \cdot 10^{+129}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 19
Accuracy	36.7%
Cost	980

\[\begin{array}{l} t_1 := \frac{y}{\frac{a}{z}}\\ \mathbf{if}\;t \leq -3.5 \cdot 10^{+142}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -3.1 \cdot 10^{-47}:\\ \;\;\;\;x \cdot \frac{z}{t}\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-287}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{-286}:\\ \;\;\;\;x\\ \mathbf{elif}\;t \leq 2.95 \cdot 10^{-242}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 8.4 \cdot 10^{+129}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 20
Accuracy	47.8%
Cost	976

\[\begin{array}{l} t_1 := x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{if}\;t \leq -4 \cdot 10^{+141}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -3.95 \cdot 10^{-162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-213}:\\ \;\;\;\;y \cdot \frac{z}{a - t}\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 21
Accuracy	67.7%
Cost	972

\[\begin{array}{l} t_1 := y \cdot \frac{z - t}{a - t}\\ \mathbf{if}\;t \leq -5.2 \cdot 10^{+131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{-47}:\\ \;\;\;\;y + \frac{\left(y - x\right) \cdot \left(a - z\right)}{t}\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{+82}:\\ \;\;\;\;x - \frac{x - y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 22
Accuracy	53.2%
Cost	844

\[\begin{array}{l} \mathbf{if}\;t \leq -1 \cdot 10^{+141}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -1.9 \cdot 10^{+24}:\\ \;\;\;\;\left(z - a\right) \cdot \frac{x}{t}\\ \mathbf{elif}\;t \leq 5.4 \cdot 10^{+130}:\\ \;\;\;\;x + y \cdot \frac{z}{a}\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 23
Accuracy	53.0%
Cost	844

\[\begin{array}{l} \mathbf{if}\;t \leq -1.15 \cdot 10^{+140}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq -3 \cdot 10^{+17}:\\ \;\;\;\;\left(z - a\right) \cdot \frac{x}{t}\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+129}:\\ \;\;\;\;x + \frac{y}{\frac{a}{z}}\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 24
Accuracy	48.7%
Cost	712

\[\begin{array}{l} \mathbf{if}\;t \leq -3.8 \cdot 10^{+141}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+130}:\\ \;\;\;\;x \cdot \left(1 - \frac{z}{a}\right)\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 25
Accuracy	38.8%
Cost	328

\[\begin{array}{l} \mathbf{if}\;t \leq -3.1 \cdot 10^{+115}:\\ \;\;\;\;y\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+129}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array} \]

Alternative 26
Accuracy	25.1%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023171 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.Axis.Types:linMap from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (if (< a -1.6153062845442575e-142) (+ x (* (/ (- y x) 1.0) (/ (- z t) (- a t)))) (if (< a 3.774403170083174e-182) (- y (* (/ z t) (- y x))) (+ x (* (/ (- y x) 1.0) (/ (- z t) (- a t))))))

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