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

Average Error: 20.4 → 8.2

Time: 57.3s

Precision: binary64

Cost: 6352

Math

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

↓

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{if}\;t_1 \leq -5 \cdot 10^{+300}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c} + \frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;t_1 \leq -5 \cdot 10^{-313}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 0:\\ \;\;\;\;\frac{\frac{\left(x \cdot \left(9 \cdot y\right) - t \cdot \left(z \cdot \left(4 \cdot a\right)\right)\right) + b}{z}}{c}\\ \mathbf{elif}\;t_1 \leq 10^{+305}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{c \cdot \frac{-0.25}{t}}\\ \end{array} \]

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 (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))))
   (if (<= t_1 -5e+300)
     (+ (* -4.0 (/ (* a t) c)) (/ (/ b c) z))
     (if (<= t_1 -5e-313)
       t_1
       (if (<= t_1 0.0)
         (/ (/ (+ (- (* x (* 9.0 y)) (* t (* z (* 4.0 a)))) b) z) c)
         (if (<= t_1 1e+305) t_1 (/ a (* c (/ -0.25 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 = ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
	double tmp;
	if (t_1 <= -5e+300) {
		tmp = (-4.0 * ((a * t) / c)) + ((b / c) / z);
	} else if (t_1 <= -5e-313) {
		tmp = t_1;
	} else if (t_1 <= 0.0) {
		tmp = ((((x * (9.0 * y)) - (t * (z * (4.0 * a)))) + b) / z) / c;
	} else if (t_1 <= 1e+305) {
		tmp = t_1;
	} else {
		tmp = a / (c * (-0.25 / t));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c)
    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), intent (in) :: b
    real(8), intent (in) :: c
    code = ((((x * 9.0d0) * y) - (((z * 4.0d0) * t) * a)) + b) / (z * c)
end function

↓

real(8) function code(x, y, z, t, a, b, c)
    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), intent (in) :: b
    real(8), intent (in) :: c
    real(8) :: t_1
    real(8) :: tmp
    t_1 = ((((x * 9.0d0) * y) - (((z * 4.0d0) * t) * a)) + b) / (z * c)
    if (t_1 <= (-5d+300)) then
        tmp = ((-4.0d0) * ((a * t) / c)) + ((b / c) / z)
    else if (t_1 <= (-5d-313)) then
        tmp = t_1
    else if (t_1 <= 0.0d0) then
        tmp = ((((x * (9.0d0 * y)) - (t * (z * (4.0d0 * a)))) + b) / z) / c
    else if (t_1 <= 1d+305) then
        tmp = t_1
    else
        tmp = a / (c * ((-0.25d0) / t))
    end if
    code = tmp
end function

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 * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
	double tmp;
	if (t_1 <= -5e+300) {
		tmp = (-4.0 * ((a * t) / c)) + ((b / c) / z);
	} else if (t_1 <= -5e-313) {
		tmp = t_1;
	} else if (t_1 <= 0.0) {
		tmp = ((((x * (9.0 * y)) - (t * (z * (4.0 * a)))) + b) / z) / c;
	} else if (t_1 <= 1e+305) {
		tmp = t_1;
	} else {
		tmp = a / (c * (-0.25 / 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 = ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c)
	tmp = 0
	if t_1 <= -5e+300:
		tmp = (-4.0 * ((a * t) / c)) + ((b / c) / z)
	elif t_1 <= -5e-313:
		tmp = t_1
	elif t_1 <= 0.0:
		tmp = ((((x * (9.0 * y)) - (t * (z * (4.0 * a)))) + b) / z) / c
	elif t_1 <= 1e+305:
		tmp = t_1
	else:
		tmp = a / (c * (-0.25 / 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(Float64(x * 9.0) * y) - Float64(Float64(Float64(z * 4.0) * t) * a)) + b) / Float64(z * c))
	tmp = 0.0
	if (t_1 <= -5e+300)
		tmp = Float64(Float64(-4.0 * Float64(Float64(a * t) / c)) + Float64(Float64(b / c) / z));
	elseif (t_1 <= -5e-313)
		tmp = t_1;
	elseif (t_1 <= 0.0)
		tmp = Float64(Float64(Float64(Float64(Float64(x * Float64(9.0 * y)) - Float64(t * Float64(z * Float64(4.0 * a)))) + b) / z) / c);
	elseif (t_1 <= 1e+305)
		tmp = t_1;
	else
		tmp = Float64(a / Float64(c * Float64(-0.25 / 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 = ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
	tmp = 0.0;
	if (t_1 <= -5e+300)
		tmp = (-4.0 * ((a * t) / c)) + ((b / c) / z);
	elseif (t_1 <= -5e-313)
		tmp = t_1;
	elseif (t_1 <= 0.0)
		tmp = ((((x * (9.0 * y)) - (t * (z * (4.0 * a)))) + b) / z) / c;
	elseif (t_1 <= 1e+305)
		tmp = t_1;
	else
		tmp = a / (c * (-0.25 / 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[(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]}, If[LessEqual[t$95$1, -5e+300], N[(N[(-4.0 * N[(N[(a * t), $MachinePrecision] / c), $MachinePrecision]), $MachinePrecision] + N[(N[(b / c), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$1, -5e-313], t$95$1, If[LessEqual[t$95$1, 0.0], N[(N[(N[(N[(N[(x * N[(9.0 * y), $MachinePrecision]), $MachinePrecision] - N[(t * N[(z * N[(4.0 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] / z), $MachinePrecision] / c), $MachinePrecision], If[LessEqual[t$95$1, 1e+305], t$95$1, N[(a / N[(c * N[(-0.25 / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	20.4
Target	14.6
Herbie	8.2

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

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)) < -5.00000000000000026e300

   1. Initial program 59.8

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

   2. Simplified 45.7

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

      [Start] 59.8	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      rational.json-simplify-2 [=>] 59.8	\[ \frac{\left(\color{blue}{y \cdot \left(x \cdot 9\right)} - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      rational.json-simplify-43 [=>] 59.4	\[ \frac{\left(\color{blue}{x \cdot \left(9 \cdot y\right)} - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      rational.json-simplify-2 [=>] 59.4	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - \color{blue}{a \cdot \left(\left(z \cdot 4\right) \cdot t\right)}\right) + b}{z \cdot c} \]
      rational.json-simplify-2 [=>] 59.4	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - a \cdot \color{blue}{\left(t \cdot \left(z \cdot 4\right)\right)}\right) + b}{z \cdot c} \]
      rational.json-simplify-43 [=>] 59.3	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - a \cdot \color{blue}{\left(z \cdot \left(4 \cdot t\right)\right)}\right) + b}{z \cdot c} \]
      rational.json-simplify-43 [=>] 45.7	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - \color{blue}{z \cdot \left(\left(4 \cdot t\right) \cdot a\right)}\right) + b}{z \cdot c} \]

   3. Taylor expanded in x around 0 60.2

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

   4. Simplified 60.2

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

      [Start] 60.2	\[ \frac{b - 4 \cdot \left(a \cdot \left(t \cdot z\right)\right)}{c \cdot z} \]
      rational.json-simplify-2 [<=] 60.2	\[ \frac{b - 4 \cdot \left(a \cdot \left(t \cdot z\right)\right)}{\color{blue}{z \cdot c}} \]

   5. Taylor expanded in b around 0 32.2

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

   6. Simplified 32.3

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

      [Start] 32.2	\[ \frac{b}{c \cdot z} + -4 \cdot \frac{a \cdot t}{c} \]
      rational.json-simplify-1 [=>] 32.2	\[ \color{blue}{-4 \cdot \frac{a \cdot t}{c} + \frac{b}{c \cdot z}} \]
      rational.json-simplify-46 [=>] 32.3	\[ -4 \cdot \frac{a \cdot t}{c} + \color{blue}{\frac{\frac{b}{c}}{z}} \]

   if -5.00000000000000026e300 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -5.00000000002e-313 or 0.0 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 9.9999999999999994e304

   1. Initial program 0.7

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

   if -5.00000000002e-313 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 0.0

   1. Initial program 36.8

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

   2. Applied egg-rr 10.6

      \[\leadsto \color{blue}{\frac{\left(x \cdot \left(9 \cdot y\right) - t \cdot \left(z \cdot \left(4 \cdot a\right)\right)\right) + b}{z} \cdot \frac{1}{c}} \]

   3. Applied egg-rr 10.6

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

   if 9.9999999999999994e304 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c))

   1. Initial program 63.3

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

   2. Simplified 56.3

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

      [Start] 63.3	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      rational.json-simplify-2 [=>] 63.3	\[ \frac{\left(\color{blue}{y \cdot \left(x \cdot 9\right)} - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      rational.json-simplify-43 [=>] 63.1	\[ \frac{\left(\color{blue}{x \cdot \left(9 \cdot y\right)} - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      rational.json-simplify-2 [=>] 63.1	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - \color{blue}{a \cdot \left(\left(z \cdot 4\right) \cdot t\right)}\right) + b}{z \cdot c} \]
      rational.json-simplify-2 [=>] 63.1	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - a \cdot \color{blue}{\left(t \cdot \left(z \cdot 4\right)\right)}\right) + b}{z \cdot c} \]
      rational.json-simplify-43 [=>] 63.0	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - a \cdot \color{blue}{\left(z \cdot \left(4 \cdot t\right)\right)}\right) + b}{z \cdot c} \]
      rational.json-simplify-43 [=>] 56.3	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - \color{blue}{z \cdot \left(\left(4 \cdot t\right) \cdot a\right)}\right) + b}{z \cdot c} \]

   3. Taylor expanded in z around inf 31.9

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

   4. Simplified 22.3

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

      [Start] 31.9	\[ -4 \cdot \frac{a \cdot t}{c} \]
      rational.json-simplify-2 [=>] 31.9	\[ -4 \cdot \frac{\color{blue}{t \cdot a}}{c} \]
      rational.json-simplify-49 [=>] 22.3	\[ -4 \cdot \color{blue}{\left(a \cdot \frac{t}{c}\right)} \]
      rational.json-simplify-43 [=>] 22.3	\[ \color{blue}{a \cdot \left(\frac{t}{c} \cdot -4\right)} \]

   5. Applied egg-rr 24.4

      \[\leadsto \color{blue}{\frac{t}{c \cdot \frac{-0.25}{a}}} \]

   6. Applied egg-rr 32.0

      \[\leadsto \color{blue}{\frac{t}{\frac{-0.25}{a}} \cdot \frac{1}{c}} \]

   7. Applied egg-rr 22.3

      \[\leadsto \color{blue}{\frac{a}{c \cdot \frac{-0.25}{t}}} \]
3. Recombined 4 regimes into one program.

4. Final simplification 8.2

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -5 \cdot 10^{+300}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c} + \frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -5 \cdot 10^{-313}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq 0:\\ \;\;\;\;\frac{\frac{\left(x \cdot \left(9 \cdot y\right) - t \cdot \left(z \cdot \left(4 \cdot a\right)\right)\right) + b}{z}}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq 10^{+305}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{c \cdot \frac{-0.25}{t}}\\ \end{array} \]

Alternatives

Alternative 1
Error	8.1
Cost	6352

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ t_2 := -4 \cdot \frac{a \cdot t}{c} + \frac{\frac{b}{c}}{z}\\ \mathbf{if}\;t_1 \leq -5 \cdot 10^{+300}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq -5 \cdot 10^{-313}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 0:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq 10^{+305}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{c \cdot \frac{-0.25}{t}}\\ \end{array} \]

Alternative 2
Error	36.3
Cost	2656

\[\begin{array}{l} t_1 := \frac{9 \cdot \left(y \cdot x\right) + b}{c \cdot z}\\ \mathbf{if}\;x \cdot 9 \leq -2 \cdot 10^{+180}:\\ \;\;\;\;9 \cdot \left(\frac{\frac{y}{c}}{z} \cdot x\right)\\ \mathbf{elif}\;x \cdot 9 \leq -4 \cdot 10^{-49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \cdot 9 \leq -5 \cdot 10^{-189}:\\ \;\;\;\;\frac{t}{\frac{-0.25}{\frac{a}{c}}}\\ \mathbf{elif}\;x \cdot 9 \leq -1 \cdot 10^{-248}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \cdot 9 \leq 2 \cdot 10^{-241}:\\ \;\;\;\;\frac{a}{c \cdot \frac{-0.25}{t}}\\ \mathbf{elif}\;x \cdot 9 \leq 5 \cdot 10^{-215}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \cdot 9 \leq 5 \cdot 10^{-156}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;x \cdot 9 \leq 10^{-72}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x \cdot 9}{z}}{\frac{c}{y}}\\ \end{array} \]

Alternative 3
Error	23.7
Cost	2404

\[\begin{array}{l} t_1 := \frac{\frac{9 \cdot \left(y \cdot x\right) - z \cdot \left(4 \cdot \left(a \cdot t\right)\right)}{z}}{c}\\ t_2 := \frac{\left(x \cdot \left(9 \cdot y\right) - z \cdot \left(\left(4 \cdot t\right) \cdot a\right)\right) + b}{z \cdot c}\\ t_3 := \frac{\frac{b}{z} + -4 \cdot \left(a \cdot t\right)}{c}\\ \mathbf{if}\;y \leq -8.6 \cdot 10^{+43}:\\ \;\;\;\;x \cdot \frac{9}{z \cdot \frac{c}{y}}\\ \mathbf{elif}\;y \leq -8 \cdot 10^{-162}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{-196}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6.5 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5.4 \cdot 10^{+96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{+141}:\\ \;\;\;\;\frac{\frac{x \cdot 9}{z}}{\frac{c}{y}}\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 8.8 \cdot 10^{+218}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+266}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c} + \frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 4
Error	27.6
Cost	2156

\[\begin{array}{l} t_1 := 9 \cdot \left(y \cdot x\right)\\ t_2 := \frac{\frac{y}{c}}{z}\\ t_3 := \frac{\frac{b + t_1}{z}}{c}\\ t_4 := -4 \cdot \frac{a \cdot t}{c} + \frac{\frac{b}{c}}{z}\\ t_5 := \frac{t_1 + b}{c \cdot z}\\ \mathbf{if}\;c \leq -4.5 \cdot 10^{+258}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{+239}:\\ \;\;\;\;9 \cdot \left(t_2 \cdot x\right)\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{+194}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+171}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -8 \cdot 10^{-24}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -6.2 \cdot 10^{-165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-39}:\\ \;\;\;\;\frac{\frac{b}{z} + -4 \cdot \left(a \cdot t\right)}{c}\\ \mathbf{elif}\;c \leq 5 \cdot 10^{+63}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 1.6 \cdot 10^{+174}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{+215}:\\ \;\;\;\;x \cdot \left(t_2 \cdot 9\right)\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{+289}:\\ \;\;\;\;\left(t \cdot \frac{a}{c}\right) \cdot -4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Error	28.9
Cost	2024

\[\begin{array}{l} t_1 := 9 \cdot \left(y \cdot x\right)\\ t_2 := \frac{t_1 + b}{c \cdot z}\\ t_3 := \frac{\frac{b}{z} + -4 \cdot \left(a \cdot t\right)}{c}\\ t_4 := \frac{\frac{b + t_1}{z}}{c}\\ \mathbf{if}\;c \leq -3.05 \cdot 10^{+258}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{+240}:\\ \;\;\;\;9 \cdot \left(\frac{\frac{y}{c}}{z} \cdot x\right)\\ \mathbf{elif}\;c \leq -2.45 \cdot 10^{+140}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.15 \cdot 10^{-166}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{-39}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 5.1 \cdot 10^{+65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.75 \cdot 10^{+104}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 10^{+213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{+289}:\\ \;\;\;\;\left(t \cdot \frac{a}{c}\right) \cdot -4\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 6
Error	35.5
Cost	1504

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right)}{c}\\ \mathbf{if}\;b \leq -1.9 \cdot 10^{+49}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -3.8 \cdot 10^{-75}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{-154}:\\ \;\;\;\;9 \cdot \left(y \cdot \frac{x}{c \cdot z}\right)\\ \mathbf{elif}\;b \leq -4.7 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.15 \cdot 10^{-231}:\\ \;\;\;\;9 \cdot \left(\frac{\frac{y}{c}}{z} \cdot x\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-200}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-114}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 4.4:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 7
Error	35.5
Cost	1504

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right)}{c}\\ \mathbf{if}\;b \leq -4 \cdot 10^{+49}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{-84}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-154}:\\ \;\;\;\;9 \cdot \frac{x \cdot \frac{y}{c}}{z}\\ \mathbf{elif}\;b \leq -1.02 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.65 \cdot 10^{-232}:\\ \;\;\;\;9 \cdot \left(\frac{\frac{y}{c}}{z} \cdot x\right)\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-199}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;b \leq 5.1 \cdot 10^{-110}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;b \leq 0.0023:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 8
Error	35.5
Cost	1504

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right)}{c}\\ t_2 := 9 \cdot \frac{\frac{x}{c} \cdot y}{z}\\ \mathbf{if}\;b \leq -3.3 \cdot 10^{+49}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -3.9 \cdot 10^{-157}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.1 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 4.3 \cdot 10^{-234}:\\ \;\;\;\;9 \cdot \left(\frac{\frac{y}{c}}{z} \cdot x\right)\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{-202}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-110}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 0.017:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 9
Error	35.5
Cost	1504

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right)}{c}\\ \mathbf{if}\;b \leq -4.6 \cdot 10^{+49}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-155}:\\ \;\;\;\;9 \cdot \frac{\frac{y \cdot x}{z}}{c}\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{-232}:\\ \;\;\;\;9 \cdot \left(\frac{\frac{y}{c}}{z} \cdot x\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-201}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-110}:\\ \;\;\;\;9 \cdot \frac{\frac{x}{c} \cdot y}{z}\\ \mathbf{elif}\;b \leq 0.0086:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 10
Error	35.6
Cost	1504

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right)}{c}\\ \mathbf{if}\;b \leq -3.4 \cdot 10^{+50}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -4.1 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{-154}:\\ \;\;\;\;9 \cdot \frac{\frac{y \cdot x}{z}}{c}\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{-234}:\\ \;\;\;\;x \cdot \left(\frac{\frac{y}{c}}{z} \cdot 9\right)\\ \mathbf{elif}\;b \leq 2 \cdot 10^{-200}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;b \leq 1.45 \cdot 10^{-108}:\\ \;\;\;\;9 \cdot \frac{\frac{x}{c} \cdot y}{z}\\ \mathbf{elif}\;b \leq 0.0058:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 11
Error	35.5
Cost	1504

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right)}{c}\\ \mathbf{if}\;b \leq -1.3 \cdot 10^{+49}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -1.85 \cdot 10^{-155}:\\ \;\;\;\;\frac{9 \cdot \frac{y \cdot x}{z}}{c}\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-233}:\\ \;\;\;\;x \cdot \left(\frac{\frac{y}{c}}{z} \cdot 9\right)\\ \mathbf{elif}\;b \leq 3.1 \cdot 10^{-199}:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;b \leq 3.3 \cdot 10^{-110}:\\ \;\;\;\;9 \cdot \frac{\frac{x}{c} \cdot y}{z}\\ \mathbf{elif}\;b \leq 4.5:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 12
Error	38.1
Cost	1500

\[\begin{array}{l} t_1 := 9 \cdot \left(x \cdot \frac{y}{z \cdot c}\right)\\ t_2 := a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{if}\;x \leq -1.1 \cdot 10^{+159}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.25 \cdot 10^{+146}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{+16}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-191}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-249}:\\ \;\;\;\;\frac{b}{c \cdot z}\\ \mathbf{elif}\;x \leq 2.15 \cdot 10^{-153}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{-73}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 13
Error	38.0
Cost	1500

\[\begin{array}{l} t_1 := a \cdot \left(\frac{t}{c} \cdot -4\right)\\ t_2 := 9 \cdot \left(x \cdot \frac{y}{z \cdot c}\right)\\ \mathbf{if}\;x \leq -1.1 \cdot 10^{+159}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6 \cdot 10^{+146}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;x \leq -2 \cdot 10^{+15}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;x \leq -5.4 \cdot 10^{-191}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -8.8 \cdot 10^{-250}:\\ \;\;\;\;\frac{b}{c \cdot z}\\ \mathbf{elif}\;x \leq 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-73}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Error	35.4
Cost	976

\[\begin{array}{l} t_1 := -4 \cdot \frac{a \cdot t}{c}\\ \mathbf{if}\;b \leq -8 \cdot 10^{+48}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -6.6 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-154}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 3.3:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{b}{c \cdot z}\\ \end{array} \]

Alternative 15
Error	35.2
Cost	976

\[\begin{array}{l} \mathbf{if}\;b \leq -1.85 \cdot 10^{+50}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -7.8 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-154}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 2.3:\\ \;\;\;\;-4 \cdot \frac{a \cdot t}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{b}{c \cdot z}\\ \end{array} \]

Alternative 16
Error	34.9
Cost	976

\[\begin{array}{l} t_1 := a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{if}\;t \leq -6.4 \cdot 10^{+35}:\\ \;\;\;\;\left(a \cdot \frac{-4}{c}\right) \cdot t\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-64}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;t \leq -4.5 \cdot 10^{-105}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 10^{-59}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Error	34.8
Cost	976

\[\begin{array}{l} t_1 := a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{if}\;t \leq -3.8 \cdot 10^{+35}:\\ \;\;\;\;\left(t \cdot \frac{a}{c}\right) \cdot -4\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{-64}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{-107}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-73}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 18
Error	34.7
Cost	976

\[\begin{array}{l} \mathbf{if}\;b \leq -9.5 \cdot 10^{+48}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;b \leq -9 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(\frac{t}{c} \cdot -4\right)\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-154}:\\ \;\;\;\;\frac{\frac{b}{z}}{c}\\ \mathbf{elif}\;b \leq 4.5:\\ \;\;\;\;\left(a \cdot \frac{-4}{c}\right) \cdot t\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{1}{c}}{z} \cdot b\\ \end{array} \]

Alternative 19
Error	18.7
Cost	968

\[\begin{array}{l} t_1 := \frac{\frac{b}{z} + -4 \cdot \left(a \cdot t\right)}{c}\\ \mathbf{if}\;z \leq -1950000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-19}:\\ \;\;\;\;\frac{9 \cdot \left(y \cdot x\right) + b}{c \cdot z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 20
Error	43.3
Cost	584

\[\begin{array}{l} t_1 := \frac{b}{c \cdot z}\\ \mathbf{if}\;y \leq 7.5 \cdot 10^{-133}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.7 \cdot 10^{+266}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 21
Error	42.6
Cost	584

\[\begin{array}{l} t_1 := \frac{\frac{b}{z}}{c}\\ \mathbf{if}\;z \leq -1.6 \cdot 10^{-30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-180}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 22
Error	43.4
Cost	320

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

Reproduce

herbie shell --seed 2023068 
(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)))