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

Average Accuracy: 67.5% → 87.2%

Time: 36.2s

Precision: binary64

Cost: 6352

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

Math

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

↓

\[\begin{array}{l} t_1 := \frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;\frac{y}{\frac{c}{x} \cdot \frac{z}{9}}\\ \mathbf{elif}\;t_1 \leq -1 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{-183}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + x \cdot \left(9 \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+303}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \end{array} \]

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 (/ (+ (- (* y (* x 9.0)) (* (* (* z 4.0) t) a)) b) (* z c))))
   (if (<= t_1 (- INFINITY))
     (/ y (* (/ c x) (/ z 9.0)))
     (if (<= t_1 -1e+21)
       t_1
       (if (<= t_1 5e-183)
         (/ (+ (* a (* t -4.0)) (/ (+ b (* x (* 9.0 y))) z)) c)
         (if (<= t_1 5e+303) t_1 (* -4.0 (/ a (/ c t)))))))))

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 = (((y * (x * 9.0)) - (((z * 4.0) * t) * a)) + b) / (z * c);
	double tmp;
	if (t_1 <= -((double) INFINITY)) {
		tmp = y / ((c / x) * (z / 9.0));
	} else if (t_1 <= -1e+21) {
		tmp = t_1;
	} else if (t_1 <= 5e-183) {
		tmp = ((a * (t * -4.0)) + ((b + (x * (9.0 * y))) / z)) / c;
	} else if (t_1 <= 5e+303) {
		tmp = t_1;
	} else {
		tmp = -4.0 * (a / (c / t));
	}
	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 = (((y * (x * 9.0)) - (((z * 4.0) * t) * a)) + b) / (z * c);
	double tmp;
	if (t_1 <= -Double.POSITIVE_INFINITY) {
		tmp = y / ((c / x) * (z / 9.0));
	} else if (t_1 <= -1e+21) {
		tmp = t_1;
	} else if (t_1 <= 5e-183) {
		tmp = ((a * (t * -4.0)) + ((b + (x * (9.0 * y))) / z)) / c;
	} else if (t_1 <= 5e+303) {
		tmp = t_1;
	} else {
		tmp = -4.0 * (a / (c / t));
	}
	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 = (((y * (x * 9.0)) - (((z * 4.0) * t) * a)) + b) / (z * c)
	tmp = 0
	if t_1 <= -math.inf:
		tmp = y / ((c / x) * (z / 9.0))
	elif t_1 <= -1e+21:
		tmp = t_1
	elif t_1 <= 5e-183:
		tmp = ((a * (t * -4.0)) + ((b + (x * (9.0 * y))) / z)) / c
	elif t_1 <= 5e+303:
		tmp = t_1
	else:
		tmp = -4.0 * (a / (c / t))
	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(Float64(Float64(y * Float64(x * 9.0)) - Float64(Float64(Float64(z * 4.0) * t) * a)) + b) / Float64(z * c))
	tmp = 0.0
	if (t_1 <= Float64(-Inf))
		tmp = Float64(y / Float64(Float64(c / x) * Float64(z / 9.0)));
	elseif (t_1 <= -1e+21)
		tmp = t_1;
	elseif (t_1 <= 5e-183)
		tmp = Float64(Float64(Float64(a * Float64(t * -4.0)) + Float64(Float64(b + Float64(x * Float64(9.0 * y))) / z)) / c);
	elseif (t_1 <= 5e+303)
		tmp = t_1;
	else
		tmp = Float64(-4.0 * Float64(a / Float64(c / t)));
	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 = (((y * (x * 9.0)) - (((z * 4.0) * t) * a)) + b) / (z * c);
	tmp = 0.0;
	if (t_1 <= -Inf)
		tmp = y / ((c / x) * (z / 9.0));
	elseif (t_1 <= -1e+21)
		tmp = t_1;
	elseif (t_1 <= 5e-183)
		tmp = ((a * (t * -4.0)) + ((b + (x * (9.0 * y))) / z)) / c;
	elseif (t_1 <= 5e+303)
		tmp = t_1;
	else
		tmp = -4.0 * (a / (c / t));
	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[(N[(N[(y * N[(x * 9.0), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(z * 4.0), $MachinePrecision] * t), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] / N[(z * c), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$1, (-Infinity)], N[(y / N[(N[(c / x), $MachinePrecision] * N[(z / 9.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$1, -1e+21], t$95$1, If[LessEqual[t$95$1, 5e-183], N[(N[(N[(a * N[(t * -4.0), $MachinePrecision]), $MachinePrecision] + N[(N[(b + N[(x * N[(9.0 * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision] / c), $MachinePrecision], If[LessEqual[t$95$1, 5e+303], t$95$1, N[(-4.0 * N[(a / N[(c / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	67.5%
Target	77.1%
Herbie	87.2%

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

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 0.0%

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

   2. Simplified 24.4%

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

      [Start] 0.0	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-+l- [=>] 0.0	\[ \frac{\color{blue}{\left(x \cdot 9\right) \cdot y - \left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)}}{z \cdot c} \]
      associate-*l* [=>] 0.4	\[ \frac{\color{blue}{x \cdot \left(9 \cdot y\right)} - \left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)}{z \cdot c} \]
      fma-neg [=>] 0.4	\[ \frac{\color{blue}{\mathsf{fma}\left(x, 9 \cdot y, -\left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)\right)}}{z \cdot c} \]
      neg-sub0 [=>] 0.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{0 - \left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)}\right)}{z \cdot c} \]
      associate-+l- [<=] 0.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(0 - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}\right)}{z \cdot c} \]
      neg-sub0 [<=] 0.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(-\left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right)} + b\right)}{z \cdot c} \]
      distribute-lft-neg-in [=>] 0.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(-\left(z \cdot 4\right) \cdot t\right) \cdot a} + b\right)}{z \cdot c} \]
      *-commutative [=>] 0.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{a \cdot \left(-\left(z \cdot 4\right) \cdot t\right)} + b\right)}{z \cdot c} \]
      distribute-lft-neg-in [=>] 0.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, a \cdot \color{blue}{\left(\left(-z \cdot 4\right) \cdot t\right)} + b\right)}{z \cdot c} \]
      associate-*r* [=>] 23.9	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(a \cdot \left(-z \cdot 4\right)\right) \cdot t} + b\right)}{z \cdot c} \]
      *-commutative [=>] 23.9	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{t \cdot \left(a \cdot \left(-z \cdot 4\right)\right)} + b\right)}{z \cdot c} \]
      fma-def [=>] 23.9	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\mathsf{fma}\left(t, a \cdot \left(-z \cdot 4\right), b\right)}\right)}{z \cdot c} \]
      distribute-rgt-neg-in [<=] 23.9	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \color{blue}{-a \cdot \left(z \cdot 4\right)}, b\right)\right)}{z \cdot c} \]
      associate-*r* [=>] 24.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, -\color{blue}{\left(a \cdot z\right) \cdot 4}, b\right)\right)}{z \cdot c} \]
      distribute-rgt-neg-in [=>] 24.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \color{blue}{\left(a \cdot z\right) \cdot \left(-4\right)}, b\right)\right)}{z \cdot c} \]
      *-commutative [=>] 24.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \color{blue}{\left(z \cdot a\right)} \cdot \left(-4\right), b\right)\right)}{z \cdot c} \]
      metadata-eval [=>] 24.4	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \left(z \cdot a\right) \cdot \color{blue}{-4}, b\right)\right)}{z \cdot c} \]

   3. Taylor expanded in x around inf 5.1%

      \[\leadsto \color{blue}{9 \cdot \frac{y \cdot x}{c \cdot z}} \]

   4. Simplified 26.2%

      \[\leadsto \color{blue}{9 \cdot \left(\frac{x}{c} \cdot \frac{y}{z}\right)} \]
      Proof

      [Start] 5.1	\[ 9 \cdot \frac{y \cdot x}{c \cdot z} \]
      *-commutative [=>] 5.1	\[ 9 \cdot \frac{\color{blue}{x \cdot y}}{c \cdot z} \]
      times-frac [=>] 26.2	\[ 9 \cdot \color{blue}{\left(\frac{x}{c} \cdot \frac{y}{z}\right)} \]

   5. Taylor expanded in x around 0 5.1%

      \[\leadsto \color{blue}{9 \cdot \frac{y \cdot x}{c \cdot z}} \]

   6. Simplified 25.9%

      \[\leadsto \color{blue}{\frac{x}{c} \cdot \frac{9 \cdot y}{z}} \]
      Proof

      [Start] 5.1	\[ 9 \cdot \frac{y \cdot x}{c \cdot z} \]
      *-commutative [=>] 5.1	\[ \color{blue}{\frac{y \cdot x}{c \cdot z} \cdot 9} \]
      *-commutative [<=] 5.1	\[ \frac{\color{blue}{x \cdot y}}{c \cdot z} \cdot 9 \]
      times-frac [=>] 26.2	\[ \color{blue}{\left(\frac{x}{c} \cdot \frac{y}{z}\right)} \cdot 9 \]
      associate-*r* [<=] 26.0	\[ \color{blue}{\frac{x}{c} \cdot \left(\frac{y}{z} \cdot 9\right)} \]
      *-commutative [<=] 26.0	\[ \frac{x}{c} \cdot \color{blue}{\left(9 \cdot \frac{y}{z}\right)} \]
      associate-*r/ [=>] 25.9	\[ \frac{x}{c} \cdot \color{blue}{\frac{9 \cdot y}{z}} \]

   7. Applied egg-rr 29.0%

      \[\leadsto \color{blue}{\frac{y}{\frac{c}{x} \cdot \frac{z}{9}}} \]
      Proof

      [Start] 25.9	\[ \frac{x}{c} \cdot \frac{9 \cdot y}{z} \]
      *-commutative [=>] 25.9	\[ \color{blue}{\frac{9 \cdot y}{z} \cdot \frac{x}{c}} \]
      clear-num [=>] 25.8	\[ \frac{9 \cdot y}{z} \cdot \color{blue}{\frac{1}{\frac{c}{x}}} \]
      un-div-inv [=>] 26.2	\[ \color{blue}{\frac{\frac{9 \cdot y}{z}}{\frac{c}{x}}} \]
      *-commutative [=>] 26.2	\[ \frac{\frac{\color{blue}{y \cdot 9}}{z}}{\frac{c}{x}} \]
      associate-/l* [=>] 26.4	\[ \frac{\color{blue}{\frac{y}{\frac{z}{9}}}}{\frac{c}{x}} \]
      associate-/l/ [=>] 29.0	\[ \color{blue}{\frac{y}{\frac{c}{x} \cdot \frac{z}{9}}} \]

   if -inf.0 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -1e21 or 5.0000000000000002e-183 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 4.9999999999999997e303

   1. Initial program 98.9%

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

   if -1e21 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 5.0000000000000002e-183

   1. Initial program 72.8%

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

   2. Simplified 98.3%

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

      [Start] 72.8	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-/r* [=>] 98.3	\[ \color{blue}{\frac{\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z}}{c}} \]

   3. Applied egg-rr 98.3%

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

      [Start] 98.3	\[ \frac{a \cdot \left(t \cdot -4\right) + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c} \]
      fma-udef [=>] 98.3	\[ \frac{a \cdot \left(t \cdot -4\right) + \frac{\color{blue}{x \cdot \left(9 \cdot y\right) + b}}{z}}{c} \]

   if 4.9999999999999997e303 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c))

   1. Initial program 1.9%

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

   2. Taylor expanded in z around inf 53.5%

      \[\leadsto \color{blue}{-4 \cdot \frac{a \cdot t}{c}} \]

   3. Simplified 63.5%

      \[\leadsto \color{blue}{\frac{a}{\frac{c}{t}} \cdot -4} \]
      Proof

      [Start] 53.5	\[ -4 \cdot \frac{a \cdot t}{c} \]
      *-commutative [=>] 53.5	\[ \color{blue}{\frac{a \cdot t}{c} \cdot -4} \]
      associate-/l* [=>] 63.5	\[ \color{blue}{\frac{a}{\frac{c}{t}}} \cdot -4 \]

3. Recombined 4 regimes into one program.

4. Final simplification 87.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -\infty:\\ \;\;\;\;\frac{y}{\frac{c}{x} \cdot \frac{z}{9}}\\ \mathbf{elif}\;\frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -1 \cdot 10^{+21}:\\ \;\;\;\;\frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq 5 \cdot 10^{-183}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + x \cdot \left(9 \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;\frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq 5 \cdot 10^{+303}:\\ \;\;\;\;\frac{\left(y \cdot \left(x \cdot 9\right) - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	50.5%
Cost	2289

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ \mathbf{if}\;b \leq -2 \cdot 10^{+102}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.4 \cdot 10^{-52}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.6 \cdot 10^{-118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.18 \cdot 10^{-142}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{elif}\;b \leq -1.45 \cdot 10^{-177}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2 \cdot 10^{-246}:\\ \;\;\;\;\frac{\frac{t}{c}}{\frac{-0.25}{a}}\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{-301}:\\ \;\;\;\;9 \cdot \left(x \cdot \frac{\frac{y}{c}}{z}\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-88}:\\ \;\;\;\;\frac{t}{c \cdot \frac{-0.25}{a}}\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{+33} \lor \neg \left(b \leq 2.65 \cdot 10^{+73}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{-4 \cdot \left(t \cdot a\right)}{c}\\ \end{array} \]

Alternative 2
Accuracy	41.3%
Cost	2160

\[\begin{array}{l} t_1 := \frac{\frac{b}{z}}{c}\\ t_2 := 9 \cdot \left(\frac{x}{z} \cdot \frac{y}{c}\right)\\ t_3 := 9 \cdot \left(\frac{x}{c} \cdot \frac{y}{z}\right)\\ t_4 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_5 := t \cdot \frac{a \cdot -4}{c}\\ \mathbf{if}\;x \leq -7.5 \cdot 10^{+271}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.35 \cdot 10^{+227}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.9 \cdot 10^{+171}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{+83}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -4.2 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.55 \cdot 10^{-22}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{-134}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{elif}\;x \leq -6.8 \cdot 10^{-233}:\\ \;\;\;\;\frac{b}{z \cdot c}\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{-300}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 3.55 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-107}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Accuracy	41.2%
Cost	1764

\[\begin{array}{l} t_1 := \frac{b}{z \cdot c}\\ \mathbf{if}\;y \leq -2.6 \cdot 10^{-124}:\\ \;\;\;\;9 \cdot \left(\frac{x}{c} \cdot \frac{y}{z}\right)\\ \mathbf{elif}\;y \leq -4.3 \cdot 10^{-274}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-259}:\\ \;\;\;\;\frac{-4}{\frac{\frac{c}{a}}{t}}\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{-194}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-134}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+101}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+185}:\\ \;\;\;\;9 \cdot \left(x \cdot \frac{\frac{y}{c}}{z}\right)\\ \mathbf{elif}\;y \leq 4.05 \cdot 10^{+220}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;9 \cdot \left(\frac{x}{z} \cdot \frac{y}{c}\right)\\ \end{array} \]

Alternative 4
Accuracy	40.9%
Cost	1764

\[\begin{array}{l} t_1 := \frac{b}{z \cdot c}\\ \mathbf{if}\;y \leq -1.55 \cdot 10^{-122}:\\ \;\;\;\;9 \cdot \left(\frac{x}{c} \cdot \frac{y}{z}\right)\\ \mathbf{elif}\;y \leq -1.85 \cdot 10^{-274}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 8 \cdot 10^{-259}:\\ \;\;\;\;\frac{-4}{\frac{\frac{c}{a}}{t}}\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{-196}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;y \leq 1.85 \cdot 10^{-134}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 6.4 \cdot 10^{+98}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+185}:\\ \;\;\;\;9 \cdot \left(x \cdot \frac{\frac{y}{c}}{z}\right)\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{+220}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;9 \cdot \frac{y}{\frac{c}{\frac{x}{z}}}\\ \end{array} \]

Alternative 5
Accuracy	40.9%
Cost	1764

\[\begin{array}{l} t_1 := \frac{b}{z \cdot c}\\ \mathbf{if}\;y \leq -1.5 \cdot 10^{-122}:\\ \;\;\;\;9 \cdot \left(\frac{x}{c} \cdot \frac{y}{z}\right)\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-274}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 8.6 \cdot 10^{-259}:\\ \;\;\;\;\frac{-4}{\frac{\frac{c}{a}}{t}}\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{-195}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-134}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{+98}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+185}:\\ \;\;\;\;9 \cdot \left(x \cdot \frac{\frac{y}{c}}{z}\right)\\ \mathbf{elif}\;y \leq 2.02 \cdot 10^{+220}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \frac{9}{\frac{c}{\frac{x}{z}}}\\ \end{array} \]

Alternative 6
Accuracy	67.1%
Cost	1752

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot -4\right)\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ \mathbf{if}\;z \leq -1.52 \cdot 10^{+60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.8 \cdot 10^{-78}:\\ \;\;\;\;\frac{t_1 + \frac{y \cdot \left(x \cdot 9\right)}{z}}{c}\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{-197}:\\ \;\;\;\;\frac{b + -4 \cdot \left(a \cdot \left(z \cdot t\right)\right)}{z \cdot c}\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{+36}:\\ \;\;\;\;\frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{+177}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+224}:\\ \;\;\;\;\frac{\frac{b}{z} + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{t_1 + 9 \cdot \left(y \cdot \frac{x}{z}\right)}{c}\\ \end{array} \]

Alternative 7
Accuracy	58.8%
Cost	1628

\[\begin{array}{l} t_1 := b + 9 \cdot \left(x \cdot y\right)\\ t_2 := \frac{t_1}{z \cdot c}\\ t_3 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ \mathbf{if}\;a \leq -1.15 \cdot 10^{-142}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{-125}:\\ \;\;\;\;\frac{\frac{t_1}{z}}{c}\\ \mathbf{elif}\;a \leq 1.55 \cdot 10^{-114}:\\ \;\;\;\;\frac{1}{z} \cdot \frac{b}{c}\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{+55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+80}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.3 \cdot 10^{+228}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \end{array} \]

Alternative 8
Accuracy	62.9%
Cost	1628

\[\begin{array}{l} t_1 := \frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ t_3 := -4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{if}\;a \leq -6 \cdot 10^{+37}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-150}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + 9 \cdot \left(y \cdot \frac{x}{z}\right)}{c}\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-227}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{-136}:\\ \;\;\;\;\frac{\frac{b}{z} + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{+227}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 9
Accuracy	68.4%
Cost	1625

\[\begin{array}{l} t_1 := \frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ \mathbf{if}\;z \leq -8 \cdot 10^{+17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.76 \cdot 10^{-66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{-197}:\\ \;\;\;\;\frac{b + -4 \cdot \left(a \cdot \left(z \cdot t\right)\right)}{z \cdot c}\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+177} \lor \neg \left(z \leq 1.05 \cdot 10^{+224}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{z} + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \end{array} \]

Alternative 10
Accuracy	75.0%
Cost	1616

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right) + \frac{b + x \cdot \left(9 \cdot y\right)}{z}}{c}\\ t_2 := -4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{if}\;a \leq -6 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.4 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 8.2 \cdot 10^{-228}:\\ \;\;\;\;\frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+248}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Accuracy	45.6%
Cost	1504

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{b}{z \cdot c}\\ \mathbf{if}\;b \leq -8.2 \cdot 10^{+93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.08 \cdot 10^{+46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.75 \cdot 10^{-41}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.35 \cdot 10^{-118}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq -2.15 \cdot 10^{-246}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-301}:\\ \;\;\;\;9 \cdot \left(\frac{x}{c} \cdot \frac{y}{z}\right)\\ \mathbf{elif}\;b \leq 5.1 \cdot 10^{+74}:\\ \;\;\;\;\frac{t}{c \cdot \frac{-0.25}{a}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 12
Accuracy	59.2%
Cost	1496

\[\begin{array}{l} t_1 := \frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ \mathbf{if}\;a \leq -1.06 \cdot 10^{-142}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;a \leq 9.8 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-135}:\\ \;\;\;\;\frac{\frac{b}{z} + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{+55}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{+229}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \end{array} \]

Alternative 13
Accuracy	59.1%
Cost	1364

\[\begin{array}{l} t_1 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ t_2 := \frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ \mathbf{if}\;a \leq -1.15 \cdot 10^{-142}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{elif}\;a \leq 9 \cdot 10^{-144}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{+54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{+226}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \left(a \cdot \frac{t}{c}\right)\\ \end{array} \]

Alternative 14
Accuracy	45.5%
Cost	1240

\[\begin{array}{l} t_1 := -4 \cdot \left(a \cdot \frac{t}{c}\right)\\ t_2 := \frac{b}{z \cdot c}\\ \mathbf{if}\;b \leq -6.4 \cdot 10^{+92}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-41}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.35 \cdot 10^{-118}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{-43}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Accuracy	46.3%
Cost	1240

\[\begin{array}{l} t_1 := -4 \cdot \left(a \cdot \frac{t}{c}\right)\\ t_2 := \frac{b}{z \cdot c}\\ \mathbf{if}\;b \leq -1.65 \cdot 10^{+92}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -3.5 \cdot 10^{+46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-42}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.25 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.35 \cdot 10^{-118}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 5.4 \cdot 10^{+74}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Accuracy	46.2%
Cost	1240

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{b}{z \cdot c}\\ \mathbf{if}\;b \leq -2.05 \cdot 10^{+93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{+46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.32 \cdot 10^{-44}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.35 \cdot 10^{-118}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 3.2 \cdot 10^{+75}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 17
Accuracy	46.2%
Cost	1240

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{b}{z \cdot c}\\ \mathbf{if}\;b \leq -7 \cdot 10^{+93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{+45}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-41}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.25 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.35 \cdot 10^{-118}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 8.8 \cdot 10^{+74}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 18
Accuracy	32.6%
Cost	320

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

Reproduce

herbie shell --seed 2023133 
(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)))