Development.Shake.Progress:decay from shake-0.15.5

Average Accuracy: 64.3% → 92.0%

Time: 38.2s

Precision: binary64

Cost: 11660

Math

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

↓

\[\begin{array}{l} t_1 := y + z \cdot \left(b - y\right)\\ t_2 := z \cdot \left(t - a\right)\\ t_3 := \frac{t - a}{b - y}\\ t_4 := \frac{t_2}{t_1} + \frac{x \cdot y}{t_1}\\ t_5 := \frac{t_2 + x \cdot y}{t_1}\\ t_6 := \frac{y}{b - y}\\ \mathbf{if}\;t_5 \leq -\infty:\\ \;\;\;\;\frac{x}{1 - z}\\ \mathbf{elif}\;t_5 \leq -5 \cdot 10^{-261}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t_5 \leq 4 \cdot 10^{-301}:\\ \;\;\;\;\frac{x \cdot t_6 - y \cdot \frac{t - a}{{\left(b - y\right)}^{2}}}{z} + t_3\\ \mathbf{elif}\;t_5 \leq 10^{+294}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3 + t_6 \cdot \frac{x}{z}\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b)
 :precision binary64
 (let* ((t_1 (+ y (* z (- b y))))
        (t_2 (* z (- t a)))
        (t_3 (/ (- t a) (- b y)))
        (t_4 (+ (/ t_2 t_1) (/ (* x y) t_1)))
        (t_5 (/ (+ t_2 (* x y)) t_1))
        (t_6 (/ y (- b y))))
   (if (<= t_5 (- INFINITY))
     (/ x (- 1.0 z))
     (if (<= t_5 -5e-261)
       t_4
       (if (<= t_5 4e-301)
         (+ (/ (- (* x t_6) (* y (/ (- t a) (pow (- b y) 2.0)))) z) t_3)
         (if (<= t_5 1e+294) t_4 (+ t_3 (* t_6 (/ x z)))))))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = y + (z * (b - y));
	double t_2 = z * (t - a);
	double t_3 = (t - a) / (b - y);
	double t_4 = (t_2 / t_1) + ((x * y) / t_1);
	double t_5 = (t_2 + (x * y)) / t_1;
	double t_6 = y / (b - y);
	double tmp;
	if (t_5 <= -((double) INFINITY)) {
		tmp = x / (1.0 - z);
	} else if (t_5 <= -5e-261) {
		tmp = t_4;
	} else if (t_5 <= 4e-301) {
		tmp = (((x * t_6) - (y * ((t - a) / pow((b - y), 2.0)))) / z) + t_3;
	} else if (t_5 <= 1e+294) {
		tmp = t_4;
	} else {
		tmp = t_3 + (t_6 * (x / z));
	}
	return tmp;
}

Java

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

↓

public static double code(double x, double y, double z, double t, double a, double b) {
	double t_1 = y + (z * (b - y));
	double t_2 = z * (t - a);
	double t_3 = (t - a) / (b - y);
	double t_4 = (t_2 / t_1) + ((x * y) / t_1);
	double t_5 = (t_2 + (x * y)) / t_1;
	double t_6 = y / (b - y);
	double tmp;
	if (t_5 <= -Double.POSITIVE_INFINITY) {
		tmp = x / (1.0 - z);
	} else if (t_5 <= -5e-261) {
		tmp = t_4;
	} else if (t_5 <= 4e-301) {
		tmp = (((x * t_6) - (y * ((t - a) / Math.pow((b - y), 2.0)))) / z) + t_3;
	} else if (t_5 <= 1e+294) {
		tmp = t_4;
	} else {
		tmp = t_3 + (t_6 * (x / z));
	}
	return tmp;
}

Python

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

↓

def code(x, y, z, t, a, b):
	t_1 = y + (z * (b - y))
	t_2 = z * (t - a)
	t_3 = (t - a) / (b - y)
	t_4 = (t_2 / t_1) + ((x * y) / t_1)
	t_5 = (t_2 + (x * y)) / t_1
	t_6 = y / (b - y)
	tmp = 0
	if t_5 <= -math.inf:
		tmp = x / (1.0 - z)
	elif t_5 <= -5e-261:
		tmp = t_4
	elif t_5 <= 4e-301:
		tmp = (((x * t_6) - (y * ((t - a) / math.pow((b - y), 2.0)))) / z) + t_3
	elif t_5 <= 1e+294:
		tmp = t_4
	else:
		tmp = t_3 + (t_6 * (x / z))
	return tmp

Julia

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

↓

function code(x, y, z, t, a, b)
	t_1 = Float64(y + Float64(z * Float64(b - y)))
	t_2 = Float64(z * Float64(t - a))
	t_3 = Float64(Float64(t - a) / Float64(b - y))
	t_4 = Float64(Float64(t_2 / t_1) + Float64(Float64(x * y) / t_1))
	t_5 = Float64(Float64(t_2 + Float64(x * y)) / t_1)
	t_6 = Float64(y / Float64(b - y))
	tmp = 0.0
	if (t_5 <= Float64(-Inf))
		tmp = Float64(x / Float64(1.0 - z));
	elseif (t_5 <= -5e-261)
		tmp = t_4;
	elseif (t_5 <= 4e-301)
		tmp = Float64(Float64(Float64(Float64(x * t_6) - Float64(y * Float64(Float64(t - a) / (Float64(b - y) ^ 2.0)))) / z) + t_3);
	elseif (t_5 <= 1e+294)
		tmp = t_4;
	else
		tmp = Float64(t_3 + Float64(t_6 * Float64(x / z)));
	end
	return tmp
end

MATLAB

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

↓

function tmp_2 = code(x, y, z, t, a, b)
	t_1 = y + (z * (b - y));
	t_2 = z * (t - a);
	t_3 = (t - a) / (b - y);
	t_4 = (t_2 / t_1) + ((x * y) / t_1);
	t_5 = (t_2 + (x * y)) / t_1;
	t_6 = y / (b - y);
	tmp = 0.0;
	if (t_5 <= -Inf)
		tmp = x / (1.0 - z);
	elseif (t_5 <= -5e-261)
		tmp = t_4;
	elseif (t_5 <= 4e-301)
		tmp = (((x * t_6) - (y * ((t - a) / ((b - y) ^ 2.0)))) / z) + t_3;
	elseif (t_5 <= 1e+294)
		tmp = t_4;
	else
		tmp = t_3 + (t_6 * (x / z));
	end
	tmp_2 = tmp;
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_] := Block[{t$95$1 = N[(y + N[(z * N[(b - y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(z * N[(t - a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t - a), $MachinePrecision] / N[(b - y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t$95$2 / t$95$1), $MachinePrecision] + N[(N[(x * y), $MachinePrecision] / t$95$1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t$95$2 + N[(x * y), $MachinePrecision]), $MachinePrecision] / t$95$1), $MachinePrecision]}, Block[{t$95$6 = N[(y / N[(b - y), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$5, (-Infinity)], N[(x / N[(1.0 - z), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$5, -5e-261], t$95$4, If[LessEqual[t$95$5, 4e-301], N[(N[(N[(N[(x * t$95$6), $MachinePrecision] - N[(y * N[(N[(t - a), $MachinePrecision] / N[Power[N[(b - y), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / z), $MachinePrecision] + t$95$3), $MachinePrecision], If[LessEqual[t$95$5, 1e+294], t$95$4, N[(t$95$3 + N[(t$95$6 * N[(x / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Target

Original	64.3%
Target	72.8%
Herbie	92.0%

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

Derivation

1. Split input into 4 regimes

2. if (/.f64 (+.f64 (*.f64 x y) (*.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))) < -inf.0

   1. Initial program 0.0%

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

   2. Simplified 0.0%

      \[\leadsto \color{blue}{\frac{\mathsf{fma}\left(x, y, z \cdot \left(t - a\right)\right)}{y + z \cdot \left(b - y\right)}} \]
      Proof

      [Start] 0.0	\[ \frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)} \]
      fma-def [=>] 0.0	\[ \frac{\color{blue}{\mathsf{fma}\left(x, y, z \cdot \left(t - a\right)\right)}}{y + z \cdot \left(b - y\right)} \]

   3. Taylor expanded in y around inf 52.2%

      \[\leadsto \color{blue}{\frac{x}{-1 \cdot z + 1}} \]

   4. Simplified 52.2%

      \[\leadsto \color{blue}{\frac{x}{1 - z}} \]
      Proof

      [Start] 52.2	\[ \frac{x}{-1 \cdot z + 1} \]
      +-commutative [=>] 52.2	\[ \frac{x}{\color{blue}{1 + -1 \cdot z}} \]
      mul-1-neg [=>] 52.2	\[ \frac{x}{1 + \color{blue}{\left(-z\right)}} \]
      unsub-neg [=>] 52.2	\[ \frac{x}{\color{blue}{1 - z}} \]

   if -inf.0 < (/.f64 (+.f64 (*.f64 x y) (*.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))) < -4.99999999999999981e-261 or 4.00000000000000027e-301 < (/.f64 (+.f64 (*.f64 x y) (*.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))) < 1.00000000000000007e294

   1. Initial program 99.5%

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

   2. Taylor expanded in x around inf 99.5%

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

   if -4.99999999999999981e-261 < (/.f64 (+.f64 (*.f64 x y) (*.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y)))) < 4.00000000000000027e-301

   1. Initial program 33.4%

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

   2. Taylor expanded in z around -inf 84.3%

      \[\leadsto \color{blue}{\left(\frac{t}{b - y} + -1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z}\right) - \frac{a}{b - y}} \]

   3. Simplified 93.1%

      \[\leadsto \color{blue}{\frac{1 \cdot \left(\frac{y}{b - y} \cdot x - \frac{t - a}{{\left(b - y\right)}^{2}} \cdot y\right)}{z} + \frac{t - a}{b - y}} \]
      Proof

      [Start] 84.3	\[ \left(\frac{t}{b - y} + -1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z}\right) - \frac{a}{b - y} \]
      +-commutative [=>] 84.3	\[ \color{blue}{\left(-1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z} + \frac{t}{b - y}\right)} - \frac{a}{b - y} \]
      associate--l+ [=>] 84.3	\[ \color{blue}{-1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z} + \left(\frac{t}{b - y} - \frac{a}{b - y}\right)} \]

   if 1.00000000000000007e294 < (/.f64 (+.f64 (*.f64 x y) (*.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

   1. Initial program 2.2%

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

   2. Taylor expanded in z around -inf 36.3%

      \[\leadsto \color{blue}{\left(\frac{t}{b - y} + -1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z}\right) - \frac{a}{b - y}} \]

   3. Simplified 82.0%

      \[\leadsto \color{blue}{\frac{1 \cdot \left(\frac{y}{b - y} \cdot x - \frac{t - a}{{\left(b - y\right)}^{2}} \cdot y\right)}{z} + \frac{t - a}{b - y}} \]
      Proof

      [Start] 36.3	\[ \left(\frac{t}{b - y} + -1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z}\right) - \frac{a}{b - y} \]
      +-commutative [=>] 36.3	\[ \color{blue}{\left(-1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z} + \frac{t}{b - y}\right)} - \frac{a}{b - y} \]
      associate--l+ [=>] 36.3	\[ \color{blue}{-1 \cdot \frac{-1 \cdot \frac{y \cdot x}{b - y} - -1 \cdot \frac{\left(t - a\right) \cdot y}{{\left(b - y\right)}^{2}}}{z} + \left(\frac{t}{b - y} - \frac{a}{b - y}\right)} \]

   4. Taylor expanded in x around inf 58.7%

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

   5. Simplified 84.7%

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

      [Start] 58.7	\[ \frac{y \cdot x}{\left(b - y\right) \cdot z} + \frac{t - a}{b - y} \]
      times-frac [=>] 84.7	\[ \color{blue}{\frac{y}{b - y} \cdot \frac{x}{z}} + \frac{t - a}{b - y} \]

3. Recombined 4 regimes into one program.

4. Final simplification 92.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y + z \cdot \left(b - y\right)} \leq -\infty:\\ \;\;\;\;\frac{x}{1 - z}\\ \mathbf{elif}\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y + z \cdot \left(b - y\right)} \leq -5 \cdot 10^{-261}:\\ \;\;\;\;\frac{z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)} + \frac{x \cdot y}{y + z \cdot \left(b - y\right)}\\ \mathbf{elif}\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y + z \cdot \left(b - y\right)} \leq 4 \cdot 10^{-301}:\\ \;\;\;\;\frac{x \cdot \frac{y}{b - y} - y \cdot \frac{t - a}{{\left(b - y\right)}^{2}}}{z} + \frac{t - a}{b - y}\\ \mathbf{elif}\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y + z \cdot \left(b - y\right)} \leq 10^{+294}:\\ \;\;\;\;\frac{z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)} + \frac{x \cdot y}{y + z \cdot \left(b - y\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{t - a}{b - y} + \frac{y}{b - y} \cdot \frac{x}{z}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	92.1%
Cost	6225

\[\begin{array}{l} t_1 := y + z \cdot \left(b - y\right)\\ t_2 := z \cdot \left(t - a\right)\\ t_3 := \frac{t_2 + x \cdot y}{t_1}\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;\frac{x}{1 - z}\\ \mathbf{elif}\;t_3 \leq -5 \cdot 10^{-261} \lor \neg \left(t_3 \leq 4 \cdot 10^{-301}\right) \land t_3 \leq 10^{+294}:\\ \;\;\;\;\frac{t_2}{t_1} + \frac{x \cdot y}{t_1}\\ \mathbf{else}:\\ \;\;\;\;\frac{t - a}{b - y} + \frac{y}{b - y} \cdot \frac{x}{z}\\ \end{array} \]

Alternative 2
Accuracy	92.1%
Cost	5713

\[\begin{array}{l} t_1 := \frac{z \cdot \left(t - a\right) + x \cdot y}{y + z \cdot \left(b - y\right)}\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;\frac{x}{1 - z}\\ \mathbf{elif}\;t_1 \leq -5 \cdot 10^{-261} \lor \neg \left(t_1 \leq 4 \cdot 10^{-301}\right) \land t_1 \leq 10^{+294}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{t - a}{b - y} + \frac{y}{b - y} \cdot \frac{x}{z}\\ \end{array} \]

Alternative 3
Accuracy	52.3%
Cost	1628

\[\begin{array}{l} t_1 := \frac{t - a}{b - y}\\ t_2 := \frac{x}{1 - z}\\ \mathbf{if}\;x \leq -4.8 \cdot 10^{+239}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -7 \cdot 10^{+192}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.25 \cdot 10^{+118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.25 \cdot 10^{+78}:\\ \;\;\;\;\frac{-a}{\left(b + \frac{y}{z}\right) - y}\\ \mathbf{elif}\;x \leq -1.05 \cdot 10^{-24}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 0.205:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.9 \cdot 10^{+16}:\\ \;\;\;\;\frac{x \cdot y}{y + z \cdot \left(b - y\right)}\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{+181}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 4
Accuracy	81.4%
Cost	1353

\[\begin{array}{l} \mathbf{if}\;z \leq -1.65 \cdot 10^{-17} \lor \neg \left(z \leq 0.000175\right):\\ \;\;\;\;\frac{t - a}{b - y} + \frac{y}{b - y} \cdot \frac{x}{z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x \cdot y + z \cdot t}{y + z \cdot \left(b - y\right)}\\ \end{array} \]

Alternative 5
Accuracy	71.2%
Cost	1225

\[\begin{array}{l} \mathbf{if}\;z \leq -4.5 \cdot 10^{+47} \lor \neg \left(z \leq 3.9 \cdot 10^{-5}\right):\\ \;\;\;\;\frac{t - a}{b - y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x \cdot y + z \cdot t}{y + z \cdot \left(b - y\right)}\\ \end{array} \]

Alternative 6
Accuracy	66.1%
Cost	1224

\[\begin{array}{l} t_1 := \frac{t - a}{b - y}\\ \mathbf{if}\;z \leq -3.9 \cdot 10^{+43}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-115}:\\ \;\;\;\;t_1 + \frac{y}{z} \cdot \frac{x}{b}\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-107}:\\ \;\;\;\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Accuracy	66.7%
Cost	1224

\[\begin{array}{l} t_1 := z \cdot \left(t - a\right) + x \cdot y\\ t_2 := \frac{t - a}{b - y}\\ \mathbf{if}\;z \leq -8.5 \cdot 10^{+50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-115}:\\ \;\;\;\;\frac{t_1}{z \cdot \left(b - y\right)}\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{-108}:\\ \;\;\;\;\frac{t_1}{y}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 8
Accuracy	39.0%
Cost	1113

\[\begin{array}{l} t_1 := \frac{x}{1 - z}\\ t_2 := \frac{t}{b - y}\\ \mathbf{if}\;t \leq -34:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-136}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-96}:\\ \;\;\;\;\frac{-a}{b}\\ \mathbf{elif}\;t \leq 10500000000000 \lor \neg \left(t \leq 3.6 \cdot 10^{+147}\right) \land t \leq 7.8 \cdot 10^{+202}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 9
Accuracy	52.2%
Cost	1112

\[\begin{array}{l} t_1 := \frac{a - t}{y}\\ t_2 := \frac{x}{1 - z}\\ t_3 := \frac{t - a}{b}\\ \mathbf{if}\;y \leq -7 \cdot 10^{+212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1 \cdot 10^{+179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-58}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.95 \cdot 10^{-18}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{+28}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 10
Accuracy	65.9%
Cost	1100

\[\begin{array}{l} t_1 := \frac{t - a}{b - y}\\ \mathbf{if}\;z \leq -3 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-112}:\\ \;\;\;\;\frac{\left(t + \frac{x \cdot y}{z}\right) - a}{b}\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-110}:\\ \;\;\;\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 11
Accuracy	31.5%
Cost	1048

\[\begin{array}{l} t_1 := \frac{-a}{b}\\ \mathbf{if}\;y \leq -5.6 \cdot 10^{+250}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq -4.5 \cdot 10^{+139}:\\ \;\;\;\;\frac{a}{y}\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-128}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 9.2 \cdot 10^{-8}:\\ \;\;\;\;\frac{-t}{y}\\ \mathbf{elif}\;y \leq 1.36 \cdot 10^{+35}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 12
Accuracy	65.6%
Cost	969

\[\begin{array}{l} \mathbf{if}\;z \leq -5 \cdot 10^{-102} \lor \neg \left(z \leq 1.7 \cdot 10^{-107}\right):\\ \;\;\;\;\frac{t - a}{b - y}\\ \mathbf{else}:\\ \;\;\;\;\frac{z \cdot \left(t - a\right) + x \cdot y}{y}\\ \end{array} \]

Alternative 13
Accuracy	52.5%
Cost	848

\[\begin{array}{l} t_1 := \frac{t - a}{b}\\ t_2 := \frac{x}{1 - z}\\ \mathbf{if}\;y \leq -3 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-12}:\\ \;\;\;\;\frac{-t}{y}\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Accuracy	63.2%
Cost	713

\[\begin{array}{l} \mathbf{if}\;z \leq -1.55 \cdot 10^{-118} \lor \neg \left(z \leq 3.5 \cdot 10^{-55}\right):\\ \;\;\;\;\frac{t - a}{b - y}\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 15
Accuracy	35.7%
Cost	652

\[\begin{array}{l} \mathbf{if}\;z \leq -4.3 \cdot 10^{+51}:\\ \;\;\;\;\frac{-a}{b}\\ \mathbf{elif}\;z \leq 200000000:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.48 \cdot 10^{+165}:\\ \;\;\;\;\frac{-x}{z}\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{y}\\ \end{array} \]

Alternative 16
Accuracy	36.5%
Cost	652

\[\begin{array}{l} \mathbf{if}\;z \leq -3.2 \cdot 10^{+14}:\\ \;\;\;\;\frac{-a}{b}\\ \mathbf{elif}\;z \leq 200000000:\\ \;\;\;\;x + x \cdot z\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{+165}:\\ \;\;\;\;\frac{-x}{z}\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{y}\\ \end{array} \]

Alternative 17
Accuracy	45.4%
Cost	585

\[\begin{array}{l} \mathbf{if}\;z \leq -0.0059 \lor \neg \left(z \leq 5.8 \cdot 10^{-25}\right):\\ \;\;\;\;\frac{t}{b - y}\\ \mathbf{else}:\\ \;\;\;\;x + x \cdot z\\ \end{array} \]

Alternative 18
Accuracy	36.6%
Cost	521

\[\begin{array}{l} \mathbf{if}\;z \leq -4.3 \cdot 10^{+51} \lor \neg \left(z \leq 0.0028\right):\\ \;\;\;\;\frac{-a}{b}\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 19
Accuracy	33.9%
Cost	456

\[\begin{array}{l} \mathbf{if}\;z \leq -4 \cdot 10^{+31}:\\ \;\;\;\;\frac{a}{y}\\ \mathbf{elif}\;z \leq 145000:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{y}\\ \end{array} \]

Alternative 20
Accuracy	26.6%
Cost	64

\[x \]

Reproduce

herbie shell --seed 2023133 
(FPCore (x y z t a b)
  :name "Development.Shake.Progress:decay from shake-0.15.5"
  :precision binary64

  :herbie-target
  (- (/ (+ (* z t) (* y x)) (+ y (* z (- b y)))) (/ a (+ (- b y) (/ y z))))

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