Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, J

Average Error: 31.73% → 5.4%

Time: 46.7s

Precision: binary64

Cost: 6608

\[ \begin{array}{c}[x, y] = \mathsf{sort}([x, y])\\ [t, a] = \mathsf{sort}([t, a])\\ \end{array} \]

Math

\[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

↓

\[\begin{array}{l} t_1 := \frac{x}{z} \cdot \frac{9 \cdot y}{c}\\ t_2 := \frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c}\\ t_3 := \frac{\frac{b}{c}}{z}\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_3 + \left(t_1 + \frac{t \cdot a}{c} \cdot -4\right)\\ \mathbf{elif}\;t_2 \leq -4 \cdot 10^{-119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_2 \leq 2 \cdot 10^{-69}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+299}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3 + \left(t_1 + -4 \cdot \left(a \cdot \frac{t}{c}\right)\right)\\ \end{array} \]

FPCore

(FPCore (x y z t a b c)
 :precision binary64
 (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)))

↓

(FPCore (x y z t a b c)
 :precision binary64
 (let* ((t_1 (* (/ x z) (/ (* 9.0 y) c)))
        (t_2 (/ (+ (+ (* (* x 9.0) y) (* a (* t (* z -4.0)))) b) (* z c)))
        (t_3 (/ (/ b c) z)))
   (if (<= t_2 (- INFINITY))
     (+ t_3 (+ t_1 (* (/ (* t a) c) -4.0)))
     (if (<= t_2 -4e-119)
       t_2
       (if (<= t_2 2e-69)
         (/ (+ (* a (* t -4.0)) (/ (+ b (* 9.0 (* x y))) z)) c)
         (if (<= t_2 5e+299) t_2 (+ t_3 (+ t_1 (* -4.0 (* a (/ t c)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c) {
	return ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
}

↓

double code(double x, double y, double z, double t, double a, double b, double c) {
	double t_1 = (x / z) * ((9.0 * y) / c);
	double t_2 = ((((x * 9.0) * y) + (a * (t * (z * -4.0)))) + b) / (z * c);
	double t_3 = (b / c) / z;
	double tmp;
	if (t_2 <= -((double) INFINITY)) {
		tmp = t_3 + (t_1 + (((t * a) / c) * -4.0));
	} else if (t_2 <= -4e-119) {
		tmp = t_2;
	} else if (t_2 <= 2e-69) {
		tmp = ((a * (t * -4.0)) + ((b + (9.0 * (x * y))) / z)) / c;
	} else if (t_2 <= 5e+299) {
		tmp = t_2;
	} else {
		tmp = t_3 + (t_1 + (-4.0 * (a * (t / c))));
	}
	return tmp;
}

Java

public static double code(double x, double y, double z, double t, double a, double b, double c) {
	return ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c) {
	double t_1 = (x / z) * ((9.0 * y) / c);
	double t_2 = ((((x * 9.0) * y) + (a * (t * (z * -4.0)))) + b) / (z * c);
	double t_3 = (b / c) / z;
	double tmp;
	if (t_2 <= -Double.POSITIVE_INFINITY) {
		tmp = t_3 + (t_1 + (((t * a) / c) * -4.0));
	} else if (t_2 <= -4e-119) {
		tmp = t_2;
	} else if (t_2 <= 2e-69) {
		tmp = ((a * (t * -4.0)) + ((b + (9.0 * (x * y))) / z)) / c;
	} else if (t_2 <= 5e+299) {
		tmp = t_2;
	} else {
		tmp = t_3 + (t_1 + (-4.0 * (a * (t / c))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c):
	return ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c)

↓

def code(x, y, z, t, a, b, c):
	t_1 = (x / z) * ((9.0 * y) / c)
	t_2 = ((((x * 9.0) * y) + (a * (t * (z * -4.0)))) + b) / (z * c)
	t_3 = (b / c) / z
	tmp = 0
	if t_2 <= -math.inf:
		tmp = t_3 + (t_1 + (((t * a) / c) * -4.0))
	elif t_2 <= -4e-119:
		tmp = t_2
	elif t_2 <= 2e-69:
		tmp = ((a * (t * -4.0)) + ((b + (9.0 * (x * y))) / z)) / c
	elif t_2 <= 5e+299:
		tmp = t_2
	else:
		tmp = t_3 + (t_1 + (-4.0 * (a * (t / c))))
	return tmp

Julia

function code(x, y, z, t, a, b, c)
	return Float64(Float64(Float64(Float64(Float64(x * 9.0) * y) - Float64(Float64(Float64(z * 4.0) * t) * a)) + b) / Float64(z * c))
end

↓

function code(x, y, z, t, a, b, c)
	t_1 = Float64(Float64(x / z) * Float64(Float64(9.0 * y) / c))
	t_2 = Float64(Float64(Float64(Float64(Float64(x * 9.0) * y) + Float64(a * Float64(t * Float64(z * -4.0)))) + b) / Float64(z * c))
	t_3 = Float64(Float64(b / c) / z)
	tmp = 0.0
	if (t_2 <= Float64(-Inf))
		tmp = Float64(t_3 + Float64(t_1 + Float64(Float64(Float64(t * a) / c) * -4.0)));
	elseif (t_2 <= -4e-119)
		tmp = t_2;
	elseif (t_2 <= 2e-69)
		tmp = Float64(Float64(Float64(a * Float64(t * -4.0)) + Float64(Float64(b + Float64(9.0 * Float64(x * y))) / z)) / c);
	elseif (t_2 <= 5e+299)
		tmp = t_2;
	else
		tmp = Float64(t_3 + Float64(t_1 + Float64(-4.0 * Float64(a * Float64(t / c)))));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a, b, c)
	tmp = ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
end

↓

function tmp_2 = code(x, y, z, t, a, b, c)
	t_1 = (x / z) * ((9.0 * y) / c);
	t_2 = ((((x * 9.0) * y) + (a * (t * (z * -4.0)))) + b) / (z * c);
	t_3 = (b / c) / z;
	tmp = 0.0;
	if (t_2 <= -Inf)
		tmp = t_3 + (t_1 + (((t * a) / c) * -4.0));
	elseif (t_2 <= -4e-119)
		tmp = t_2;
	elseif (t_2 <= 2e-69)
		tmp = ((a * (t * -4.0)) + ((b + (9.0 * (x * y))) / z)) / c;
	elseif (t_2 <= 5e+299)
		tmp = t_2;
	else
		tmp = t_3 + (t_1 + (-4.0 * (a * (t / c))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_] := N[(N[(N[(N[(N[(x * 9.0), $MachinePrecision] * y), $MachinePrecision] - N[(N[(N[(z * 4.0), $MachinePrecision] * t), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] / N[(z * c), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_] := Block[{t$95$1 = N[(N[(x / z), $MachinePrecision] * N[(N[(9.0 * y), $MachinePrecision] / c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(x * 9.0), $MachinePrecision] * y), $MachinePrecision] + N[(a * N[(t * N[(z * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] / N[(z * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(b / c), $MachinePrecision] / z), $MachinePrecision]}, If[LessEqual[t$95$2, (-Infinity)], N[(t$95$3 + N[(t$95$1 + N[(N[(N[(t * a), $MachinePrecision] / c), $MachinePrecision] * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$2, -4e-119], t$95$2, If[LessEqual[t$95$2, 2e-69], N[(N[(N[(a * N[(t * -4.0), $MachinePrecision]), $MachinePrecision] + N[(N[(b + N[(9.0 * N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision] / c), $MachinePrecision], If[LessEqual[t$95$2, 5e+299], t$95$2, N[(t$95$3 + N[(t$95$1 + N[(-4.0 * N[(a * N[(t / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Target

Original	31.73%
Target	22.17%
Herbie	5.4%

\[\begin{array}{l} \mathbf{if}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < -1.100156740804105 \cdot 10^{-171}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 0:\\ \;\;\;\;\frac{\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z}}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 1.1708877911747488 \cdot 10^{-53}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 2.876823679546137 \cdot 10^{+130}:\\ \;\;\;\;\left(\left(9 \cdot \frac{y}{c}\right) \cdot \frac{x}{z} + \frac{b}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 1.3838515042456319 \cdot 10^{+158}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\left(9 \cdot \left(\frac{y}{c \cdot z} \cdot x\right) + \frac{b}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}\\ \end{array} \]

Derivation

1. Split input into 4 regimes

2. if (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -inf.0

   1. Initial program 100

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Taylor expanded in x around 0 47.26

      \[\leadsto \color{blue}{\left(\frac{b}{c \cdot z} + 9 \cdot \frac{y \cdot x}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}} \]

   3. Simplified 29.95

      \[\leadsto \color{blue}{\frac{\frac{b}{c}}{z} + \left(\frac{x}{z} \cdot \frac{9 \cdot y}{c} - 4 \cdot \frac{a \cdot t}{c}\right)} \]
      Proof

      [Start] 47.26	\[ \left(\frac{b}{c \cdot z} + 9 \cdot \frac{y \cdot x}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c} \]
      associate--l+ [=>] 47.26	\[ \color{blue}{\frac{b}{c \cdot z} + \left(9 \cdot \frac{y \cdot x}{c \cdot z} - 4 \cdot \frac{a \cdot t}{c}\right)} \]
      associate-/r* [=>] 53.53	\[ \color{blue}{\frac{\frac{b}{c}}{z}} + \left(9 \cdot \frac{y \cdot x}{c \cdot z} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      *-commutative [<=] 53.53	\[ \frac{\frac{b}{c}}{z} + \left(9 \cdot \frac{y \cdot x}{\color{blue}{z \cdot c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-*r/ [=>] 53.69	\[ \frac{\frac{b}{c}}{z} + \left(\color{blue}{\frac{9 \cdot \left(y \cdot x\right)}{z \cdot c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-*r* [=>] 53.69	\[ \frac{\frac{b}{c}}{z} + \left(\frac{\color{blue}{\left(9 \cdot y\right) \cdot x}}{z \cdot c} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      *-commutative [<=] 53.69	\[ \frac{\frac{b}{c}}{z} + \left(\frac{\color{blue}{x \cdot \left(9 \cdot y\right)}}{z \cdot c} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      times-frac [=>] 29.95	\[ \frac{\frac{b}{c}}{z} + \left(\color{blue}{\frac{x}{z} \cdot \frac{9 \cdot y}{c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]

   if -inf.0 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -4.00000000000000005e-119 or 1.9999999999999999e-69 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 5.0000000000000003e299

   1. Initial program 1.1

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   if -4.00000000000000005e-119 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 1.9999999999999999e-69

   1. Initial program 31.31

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Simplified 1.73

      \[\leadsto \color{blue}{\frac{a \cdot \left(t \cdot -4\right) + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c}} \]
      Proof

      [Start] 31.31	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-/r* [=>] 2.07	\[ \color{blue}{\frac{\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z}}{c}} \]

   3. Taylor expanded in z around 0 1.67

      \[\leadsto \frac{a \cdot \left(t \cdot -4\right) + \color{blue}{\frac{9 \cdot \left(y \cdot x\right) + b}{z}}}{c} \]

   if 5.0000000000000003e299 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c))

   1. Initial program 97.01

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Taylor expanded in x around 0 44.61

      \[\leadsto \color{blue}{\left(\frac{b}{c \cdot z} + 9 \cdot \frac{y \cdot x}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}} \]

   3. Simplified 23.2

      \[\leadsto \color{blue}{\frac{\frac{b}{c}}{z} + \left(\frac{x}{z} \cdot \frac{9 \cdot y}{c} - 4 \cdot \frac{a \cdot t}{c}\right)} \]
      Proof

      [Start] 44.61	\[ \left(\frac{b}{c \cdot z} + 9 \cdot \frac{y \cdot x}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c} \]
      associate--l+ [=>] 44.61	\[ \color{blue}{\frac{b}{c \cdot z} + \left(9 \cdot \frac{y \cdot x}{c \cdot z} - 4 \cdot \frac{a \cdot t}{c}\right)} \]
      associate-/r* [=>] 45.72	\[ \color{blue}{\frac{\frac{b}{c}}{z}} + \left(9 \cdot \frac{y \cdot x}{c \cdot z} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      *-commutative [<=] 45.72	\[ \frac{\frac{b}{c}}{z} + \left(9 \cdot \frac{y \cdot x}{\color{blue}{z \cdot c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-*r/ [=>] 45.79	\[ \frac{\frac{b}{c}}{z} + \left(\color{blue}{\frac{9 \cdot \left(y \cdot x\right)}{z \cdot c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-*r* [=>] 45.79	\[ \frac{\frac{b}{c}}{z} + \left(\frac{\color{blue}{\left(9 \cdot y\right) \cdot x}}{z \cdot c} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      *-commutative [<=] 45.79	\[ \frac{\frac{b}{c}}{z} + \left(\frac{\color{blue}{x \cdot \left(9 \cdot y\right)}}{z \cdot c} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      times-frac [=>] 23.2	\[ \frac{\frac{b}{c}}{z} + \left(\color{blue}{\frac{x}{z} \cdot \frac{9 \cdot y}{c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]

   4. Applied egg-rr 12.05

      \[\leadsto \frac{\frac{b}{c}}{z} + \left(\frac{x}{z} \cdot \frac{9 \cdot y}{c} - 4 \cdot \color{blue}{\left(\frac{t}{c} \cdot a\right)}\right) \]
3. Recombined 4 regimes into one program.

4. Final simplification 5.4

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c} \leq -\infty:\\ \;\;\;\;\frac{\frac{b}{c}}{z} + \left(\frac{x}{z} \cdot \frac{9 \cdot y}{c} + \frac{t \cdot a}{c} \cdot -4\right)\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c} \leq -4 \cdot 10^{-119}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c} \leq 2 \cdot 10^{-69}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c} \leq 5 \cdot 10^{+299}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z} + \left(\frac{x}{z} \cdot \frac{9 \cdot y}{c} + -4 \cdot \left(a \cdot \frac{t}{c}\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	6.03%
Cost	6608

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c}\\ t_2 := \frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq -4 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 2 \cdot 10^{-69}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+299}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z} + \left(\frac{x}{z} \cdot \frac{9 \cdot y}{c} + -4 \cdot \left(a \cdot \frac{t}{c}\right)\right)\\ \end{array} \]

Alternative 2
Error	9.44%
Cost	6480

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c}\\ t_2 := a \cdot \left(t \cdot -4\right)\\ t_3 := \frac{t_2 + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_1 \leq -4 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 2 \cdot 10^{-69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+297}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{c} \cdot \left(\frac{x}{z} \cdot \left(9 \cdot y\right)\right) + t_2 \cdot \frac{1}{c}\\ \end{array} \]

Alternative 3
Error	9.37%
Cost	6352

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y + a \cdot \left(t \cdot \left(z \cdot -4\right)\right)\right) + b}{z \cdot c}\\ t_2 := a \cdot \left(t \cdot -4\right)\\ t_3 := \frac{t_2 + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_1 \leq -4 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 2 \cdot 10^{-69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+299}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{t_2 + \frac{x}{z} \cdot \left(9 \cdot y\right)}{c}\\ \end{array} \]

Alternative 4
Error	36.55%
Cost	2148

\[\begin{array}{l} t_1 := \frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ t_2 := a \cdot \left(t \cdot -4\right)\\ t_3 := \frac{1}{c} \cdot \frac{b + -4 \cdot \left(z \cdot \left(t \cdot a\right)\right)}{z}\\ \mathbf{if}\;a \leq -2.6 \cdot 10^{+84}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-137}:\\ \;\;\;\;\frac{t_2 + 9 \cdot \left(x \cdot \frac{y}{z}\right)}{c}\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-177}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7 \cdot 10^{-187}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-126}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 7.6 \cdot 10^{-54}:\\ \;\;\;\;\frac{t_2 + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \mathbf{elif}\;a \leq 10.5:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 9.2 \cdot 10^{+41}:\\ \;\;\;\;\frac{t \cdot a}{c} \cdot -4 + 9 \cdot \frac{x \cdot y}{z \cdot c}\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{+112}:\\ \;\;\;\;\frac{\frac{b}{z} + \left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_2 + \frac{x}{z} \cdot \left(9 \cdot y\right)}{c}\\ \end{array} \]

Alternative 5
Error	56%
Cost	2028

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{9}{z} \cdot \frac{x \cdot y}{c}\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -1.45 \cdot 10^{+79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{+66}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{+34}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -2200000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{-103}:\\ \;\;\;\;\frac{9}{z} \cdot \left(y \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq -7.8 \cdot 10^{-196}:\\ \;\;\;\;\frac{-4}{\frac{c}{t \cdot a}}\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{-236}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2 \cdot 10^{-233}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 1.8 \cdot 10^{-86}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{+29}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Error	56.14%
Cost	2028

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{9}{z} \cdot \frac{x \cdot y}{c}\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -3 \cdot 10^{+80}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{+65}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;b \leq -1.02 \cdot 10^{+34}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -24000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.45 \cdot 10^{-105}:\\ \;\;\;\;y \cdot \frac{9}{z \cdot \frac{c}{x}}\\ \mathbf{elif}\;b \leq -4.7 \cdot 10^{-195}:\\ \;\;\;\;\frac{-4}{\frac{c}{t \cdot a}}\\ \mathbf{elif}\;b \leq -8 \cdot 10^{-237}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.16 \cdot 10^{-233}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-87}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{+28}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 7
Error	56.2%
Cost	2028

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{9}{z} \cdot \frac{x \cdot y}{c}\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -1.05 \cdot 10^{+80}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+66}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;b \leq -1.22 \cdot 10^{+32}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -18500:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -8.6 \cdot 10^{-106}:\\ \;\;\;\;y \cdot \frac{9}{z \cdot \frac{c}{x}}\\ \mathbf{elif}\;b \leq -4.5 \cdot 10^{-196}:\\ \;\;\;\;\frac{-4}{\frac{c}{t \cdot a}}\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{-237}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 7.2 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-223}:\\ \;\;\;\;\frac{9}{\frac{c}{x} \cdot \frac{z}{y}}\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{-87}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 8
Error	55.96%
Cost	2028

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -6 \cdot 10^{+80}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.25 \cdot 10^{+66}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;b \leq -7 \cdot 10^{+33}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -53000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{-105}:\\ \;\;\;\;y \cdot \frac{9}{z \cdot \frac{c}{x}}\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{-196}:\\ \;\;\;\;\frac{-4}{\frac{c}{t \cdot a}}\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{-237}:\\ \;\;\;\;\frac{x \cdot y}{\frac{z \cdot c}{9}}\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2 \cdot 10^{-233}:\\ \;\;\;\;\frac{9}{\frac{c}{x} \cdot \frac{z}{y}}\\ \mathbf{elif}\;b \leq 9 \cdot 10^{-87}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \mathbf{elif}\;b \leq 3.3 \cdot 10^{+34}:\\ \;\;\;\;\frac{9}{z} \cdot \frac{x \cdot y}{c}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 9
Error	54.62%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := 9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -3.7 \cdot 10^{+81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3 \cdot 10^{+34}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -20500:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -6.5 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.18 \cdot 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{-86}:\\ \;\;\;\;\frac{\left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{elif}\;b \leq 5.6 \cdot 10^{+19}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Error	55.16%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := 9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -1.95 \cdot 10^{+80}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -4.1 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{+32}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -19500:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{-89}:\\ \;\;\;\;9 \cdot \frac{y}{\frac{c}{\frac{x}{z}}}\\ \mathbf{elif}\;b \leq 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{-86}:\\ \;\;\;\;\frac{\left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{+19}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	55%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := 9 \cdot \frac{y}{\frac{z}{\frac{x}{c}}}\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -3.5 \cdot 10^{+81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -4.4 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{+32}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -190000:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.7 \cdot 10^{-240}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-87}:\\ \;\;\;\;\frac{\left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{+19}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 12
Error	55.22%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -2.6 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{+66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -8.8 \cdot 10^{+33}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -9500000:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{-103}:\\ \;\;\;\;9 \cdot \frac{y}{\frac{z}{\frac{x}{c}}}\\ \mathbf{elif}\;b \leq 5.4 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{-240}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-86}:\\ \;\;\;\;\frac{\left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{elif}\;b \leq 1.42 \cdot 10^{+20}:\\ \;\;\;\;\left(y \cdot \frac{x}{z}\right) \cdot \frac{9}{c}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 13
Error	55.37%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -5.2 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.5 \cdot 10^{+33}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1500000:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -3.5 \cdot 10^{-103}:\\ \;\;\;\;9 \cdot \frac{y}{\frac{z}{\frac{x}{c}}}\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.02 \cdot 10^{-232}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-86}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \mathbf{elif}\;b \leq 9 \cdot 10^{+19}:\\ \;\;\;\;\left(y \cdot \frac{x}{z}\right) \cdot \frac{9}{c}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Error	55.32%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -2.05 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -3 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{+31}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1950000:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -2.1 \cdot 10^{-104}:\\ \;\;\;\;\frac{9}{z} \cdot \left(y \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.6 \cdot 10^{-227}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{-87}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \mathbf{elif}\;b \leq 1.46 \cdot 10^{+20}:\\ \;\;\;\;\left(y \cdot \frac{x}{z}\right) \cdot \frac{9}{c}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	34.14%
Cost	1620

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot -4\right)\\ t_2 := \frac{\frac{b}{z} + \left(t \cdot a\right) \cdot -4}{c}\\ t_3 := \frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \mathbf{if}\;b \leq -3.2 \cdot 10^{+84}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2 \cdot 10^{+34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.2 \cdot 10^{-79}:\\ \;\;\;\;\frac{t_1 + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \mathbf{elif}\;b \leq 1.65 \cdot 10^{+21}:\\ \;\;\;\;\frac{\frac{b}{z} + 9 \cdot \frac{x \cdot y}{z}}{c}\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{+40}:\\ \;\;\;\;\frac{t_1 + 9 \cdot \left(x \cdot \frac{y}{z}\right)}{c}\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{+148}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 16
Error	34.11%
Cost	1620

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot -4\right)\\ t_2 := \frac{\frac{b}{z} + \left(t \cdot a\right) \cdot -4}{c}\\ t_3 := \frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ t_4 := 9 \cdot \frac{x \cdot y}{z}\\ \mathbf{if}\;b \leq -4.3 \cdot 10^{+84}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.8 \cdot 10^{+30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-80}:\\ \;\;\;\;\frac{t_1 + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{+21}:\\ \;\;\;\;\frac{\frac{b}{z} + t_4}{c}\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+40}:\\ \;\;\;\;\frac{t_1 + t_4}{c}\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+147}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 17
Error	34.48%
Cost	1620

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot -4\right)\\ t_2 := \frac{\frac{b}{z} + \left(t \cdot a\right) \cdot -4}{c}\\ t_3 := \frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ t_4 := 9 \cdot \frac{x \cdot y}{z}\\ \mathbf{if}\;b \leq -3.1 \cdot 10^{+84}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{-87}:\\ \;\;\;\;\frac{t_1 + \frac{x}{z} \cdot \left(9 \cdot y\right)}{c}\\ \mathbf{elif}\;b \leq 2.5 \cdot 10^{+24}:\\ \;\;\;\;\frac{\frac{b}{z} + t_4}{c}\\ \mathbf{elif}\;b \leq 5 \cdot 10^{+38}:\\ \;\;\;\;\frac{t_1 + t_4}{c}\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{+148}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Error	15.02%
Cost	1481

\[\begin{array}{l} \mathbf{if}\;z \leq -9.2 \cdot 10^{-150} \lor \neg \left(z \leq 10^{-20}\right):\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{b + \left(x \cdot \left(9 \cdot y\right) + \left(t \cdot a\right) \cdot \left(z \cdot -4\right)\right)}{z \cdot c}\\ \end{array} \]

Alternative 19
Error	54.2%
Cost	1372

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := t \cdot \frac{a \cdot -4}{c}\\ t_3 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -2 \cdot 10^{+79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.05 \cdot 10^{+66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{+32}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -4.5 \cdot 10^{-29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{-65}:\\ \;\;\;\;\frac{b}{z \cdot c}\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{-135}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	54.16%
Cost	1372

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -2.3 \cdot 10^{+82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.55 \cdot 10^{+66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.7 \cdot 10^{+30}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.35 \cdot 10^{-29}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{-65}:\\ \;\;\;\;\frac{b}{z \cdot c}\\ \mathbf{elif}\;b \leq 7.8 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-79}:\\ \;\;\;\;\frac{-4}{\frac{c}{t \cdot a}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 21
Error	54.09%
Cost	1372

\[\begin{array}{l} t_1 := t \cdot \frac{a \cdot -4}{c}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -1.45 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -7.2 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -4.8 \cdot 10^{+31}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -3.7 \cdot 10^{-23}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;b \leq -5.6 \cdot 10^{-65}:\\ \;\;\;\;\frac{b}{z \cdot c}\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.08 \cdot 10^{-79}:\\ \;\;\;\;\frac{\left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 22
Error	41.68%
Cost	1366

\[\begin{array}{l} \mathbf{if}\;z \leq -3.95 \cdot 10^{+59}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{+47} \lor \neg \left(z \leq 1.6 \cdot 10^{+127}\right) \land \left(z \leq 1.8 \cdot 10^{+163} \lor \neg \left(z \leq 1.3 \cdot 10^{+285}\right)\right):\\ \;\;\;\;\frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{c} \cdot \left(t \cdot \left(a \cdot -4\right)\right)\\ \end{array} \]

Alternative 23
Error	29.41%
Cost	1356

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right) + 9 \cdot \left(x \cdot \frac{y}{z}\right)}{c}\\ \mathbf{if}\;z \leq -9 \cdot 10^{+258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.9 \cdot 10^{+48}:\\ \;\;\;\;\frac{\frac{b}{z} + \left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+35}:\\ \;\;\;\;\frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 24
Error	17.07%
Cost	1353

\[\begin{array}{l} \mathbf{if}\;z \leq -5.4 \cdot 10^{-151} \lor \neg \left(z \leq 10^{-116}\right):\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \end{array} \]

Alternative 25
Error	53.81%
Cost	976

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{b}{z \cdot c}\\ \mathbf{if}\;b \leq -2.6 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.9 \cdot 10^{+31}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 26
Error	53.73%
Cost	976

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := b \cdot \frac{\frac{1}{c}}{z}\\ \mathbf{if}\;b \leq -1.7 \cdot 10^{+80}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{+65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{+31}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 27
Error	29.85%
Cost	969

\[\begin{array}{l} \mathbf{if}\;z \leq -1.12 \cdot 10^{+49} \lor \neg \left(z \leq 2.1 \cdot 10^{+45}\right):\\ \;\;\;\;\frac{\frac{b}{z} + \left(t \cdot a\right) \cdot -4}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{b + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \end{array} \]

Alternative 28
Error	68.46%
Cost	320

\[\frac{b}{z \cdot c} \]

Reproduce

herbie shell --seed 2023088 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, J"
  :precision binary64

  :herbie-target
  (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) -1.100156740804105e-171) (/ (+ (- (* (* x 9.0) y) (* (* z 4.0) (* t a))) b) (* z c)) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 0.0) (/ (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) z) c) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 1.1708877911747488e-53) (/ (+ (- (* (* x 9.0) y) (* (* z 4.0) (* t a))) b) (* z c)) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 2.876823679546137e+130) (- (+ (* (* 9.0 (/ y c)) (/ x z)) (/ b (* c z))) (* 4.0 (/ (* a t) c))) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 1.3838515042456319e+158) (/ (+ (- (* (* x 9.0) y) (* (* z 4.0) (* t a))) b) (* z c)) (- (+ (* 9.0 (* (/ y (* c z)) x)) (/ b (* c z))) (* 4.0 (/ (* a t) c))))))))

  (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)))