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

Average Accuracy: 91.5% → 97.0%

Time: 58.3s

Precision: binary64

Cost: 2248

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

Math

\[\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

↓

\[\begin{array}{l} t_1 := i \cdot \left(x \cdot -4\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := y \cdot \left(z \cdot t\right)\\ t_4 := t \cdot \left(a \cdot -4\right)\\ \mathbf{if}\;x \leq -5 \cdot 10^{-35}:\\ \;\;\;\;\left(\left(\left(\left(x \cdot 18\right) \cdot t_3 + t_4\right) + b \cdot c\right) + t_1\right) + t_2\\ \mathbf{elif}\;x \leq 0.00076:\\ \;\;\;\;\left(\left(\left(t \cdot \left(\left(x \cdot z\right) \cdot \left(18 \cdot y\right)\right) + t_4\right) + b \cdot c\right) + t_1\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot t_3 + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + \left(j \cdot k\right) \cdot -27\\ \end{array} \]

FPCore

(FPCore (x y z t a b c i j k)
 :precision binary64
 (-
  (-
   (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c))
   (* (* x 4.0) i))
  (* (* j 27.0) k)))

↓

(FPCore (x y z t a b c i j k)
 :precision binary64
 (let* ((t_1 (* i (* x -4.0)))
        (t_2 (* k (* j -27.0)))
        (t_3 (* y (* z t)))
        (t_4 (* t (* a -4.0))))
   (if (<= x -5e-35)
     (+ (+ (+ (+ (* (* x 18.0) t_3) t_4) (* b c)) t_1) t_2)
     (if (<= x 0.00076)
       (+ (+ (+ (+ (* t (* (* x z) (* 18.0 y))) t_4) (* b c)) t_1) t_2)
       (+
        (+ (* b c) (+ (* x (+ (* 18.0 t_3) (* i -4.0))) (* -4.0 (* t a))))
        (* (* j k) -27.0))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k) {
	return (((((((x * 18.0) * y) * z) * t) - ((a * 4.0) * t)) + (b * c)) - ((x * 4.0) * i)) - ((j * 27.0) * k);
}

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k) {
	double t_1 = i * (x * -4.0);
	double t_2 = k * (j * -27.0);
	double t_3 = y * (z * t);
	double t_4 = t * (a * -4.0);
	double tmp;
	if (x <= -5e-35) {
		tmp = (((((x * 18.0) * t_3) + t_4) + (b * c)) + t_1) + t_2;
	} else if (x <= 0.00076) {
		tmp = ((((t * ((x * z) * (18.0 * y))) + t_4) + (b * c)) + t_1) + t_2;
	} else {
		tmp = ((b * c) + ((x * ((18.0 * t_3) + (i * -4.0))) + (-4.0 * (t * a)))) + ((j * k) * -27.0);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k)
    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), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    code = (((((((x * 18.0d0) * y) * z) * t) - ((a * 4.0d0) * t)) + (b * c)) - ((x * 4.0d0) * i)) - ((j * 27.0d0) * k)
end function

↓

real(8) function code(x, y, z, t, a, b, c, i, j, k)
    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), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = i * (x * (-4.0d0))
    t_2 = k * (j * (-27.0d0))
    t_3 = y * (z * t)
    t_4 = t * (a * (-4.0d0))
    if (x <= (-5d-35)) then
        tmp = (((((x * 18.0d0) * t_3) + t_4) + (b * c)) + t_1) + t_2
    else if (x <= 0.00076d0) then
        tmp = ((((t * ((x * z) * (18.0d0 * y))) + t_4) + (b * c)) + t_1) + t_2
    else
        tmp = ((b * c) + ((x * ((18.0d0 * t_3) + (i * (-4.0d0)))) + ((-4.0d0) * (t * a)))) + ((j * k) * (-27.0d0))
    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, double i, double j, double k) {
	return (((((((x * 18.0) * y) * z) * t) - ((a * 4.0) * t)) + (b * c)) - ((x * 4.0) * i)) - ((j * 27.0) * k);
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k) {
	double t_1 = i * (x * -4.0);
	double t_2 = k * (j * -27.0);
	double t_3 = y * (z * t);
	double t_4 = t * (a * -4.0);
	double tmp;
	if (x <= -5e-35) {
		tmp = (((((x * 18.0) * t_3) + t_4) + (b * c)) + t_1) + t_2;
	} else if (x <= 0.00076) {
		tmp = ((((t * ((x * z) * (18.0 * y))) + t_4) + (b * c)) + t_1) + t_2;
	} else {
		tmp = ((b * c) + ((x * ((18.0 * t_3) + (i * -4.0))) + (-4.0 * (t * a)))) + ((j * k) * -27.0);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k):
	return (((((((x * 18.0) * y) * z) * t) - ((a * 4.0) * t)) + (b * c)) - ((x * 4.0) * i)) - ((j * 27.0) * k)

↓

def code(x, y, z, t, a, b, c, i, j, k):
	t_1 = i * (x * -4.0)
	t_2 = k * (j * -27.0)
	t_3 = y * (z * t)
	t_4 = t * (a * -4.0)
	tmp = 0
	if x <= -5e-35:
		tmp = (((((x * 18.0) * t_3) + t_4) + (b * c)) + t_1) + t_2
	elif x <= 0.00076:
		tmp = ((((t * ((x * z) * (18.0 * y))) + t_4) + (b * c)) + t_1) + t_2
	else:
		tmp = ((b * c) + ((x * ((18.0 * t_3) + (i * -4.0))) + (-4.0 * (t * a)))) + ((j * k) * -27.0)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k)
	return Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * 18.0) * y) * z) * t) - Float64(Float64(a * 4.0) * t)) + Float64(b * c)) - Float64(Float64(x * 4.0) * i)) - Float64(Float64(j * 27.0) * k))
end

↓

function code(x, y, z, t, a, b, c, i, j, k)
	t_1 = Float64(i * Float64(x * -4.0))
	t_2 = Float64(k * Float64(j * -27.0))
	t_3 = Float64(y * Float64(z * t))
	t_4 = Float64(t * Float64(a * -4.0))
	tmp = 0.0
	if (x <= -5e-35)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(x * 18.0) * t_3) + t_4) + Float64(b * c)) + t_1) + t_2);
	elseif (x <= 0.00076)
		tmp = Float64(Float64(Float64(Float64(Float64(t * Float64(Float64(x * z) * Float64(18.0 * y))) + t_4) + Float64(b * c)) + t_1) + t_2);
	else
		tmp = Float64(Float64(Float64(b * c) + Float64(Float64(x * Float64(Float64(18.0 * t_3) + Float64(i * -4.0))) + Float64(-4.0 * Float64(t * a)))) + Float64(Float64(j * k) * -27.0));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k)
	tmp = (((((((x * 18.0) * y) * z) * t) - ((a * 4.0) * t)) + (b * c)) - ((x * 4.0) * i)) - ((j * 27.0) * k);
end

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k)
	t_1 = i * (x * -4.0);
	t_2 = k * (j * -27.0);
	t_3 = y * (z * t);
	t_4 = t * (a * -4.0);
	tmp = 0.0;
	if (x <= -5e-35)
		tmp = (((((x * 18.0) * t_3) + t_4) + (b * c)) + t_1) + t_2;
	elseif (x <= 0.00076)
		tmp = ((((t * ((x * z) * (18.0 * y))) + t_4) + (b * c)) + t_1) + t_2;
	else
		tmp = ((b * c) + ((x * ((18.0 * t_3) + (i * -4.0))) + (-4.0 * (t * a)))) + ((j * k) * -27.0);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_] := N[(N[(N[(N[(N[(N[(N[(N[(x * 18.0), $MachinePrecision] * y), $MachinePrecision] * z), $MachinePrecision] * t), $MachinePrecision] - N[(N[(a * 4.0), $MachinePrecision] * t), $MachinePrecision]), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] - N[(N[(x * 4.0), $MachinePrecision] * i), $MachinePrecision]), $MachinePrecision] - N[(N[(j * 27.0), $MachinePrecision] * k), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_] := Block[{t$95$1 = N[(i * N[(x * -4.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(j * -27.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t * N[(a * -4.0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -5e-35], N[(N[(N[(N[(N[(N[(x * 18.0), $MachinePrecision] * t$95$3), $MachinePrecision] + t$95$4), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision] + t$95$2), $MachinePrecision], If[LessEqual[x, 0.00076], N[(N[(N[(N[(N[(t * N[(N[(x * z), $MachinePrecision] * N[(18.0 * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision] + t$95$2), $MachinePrecision], N[(N[(N[(b * c), $MachinePrecision] + N[(N[(x * N[(N[(18.0 * t$95$3), $MachinePrecision] + N[(i * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-4.0 * N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * k), $MachinePrecision] * -27.0), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	91.5%
Target	97.8%
Herbie	97.0%

\[\begin{array}{l} \mathbf{if}\;t < -1.6210815397541398 \cdot 10^{-69}:\\ \;\;\;\;\left(\left(18 \cdot t\right) \cdot \left(\left(x \cdot y\right) \cdot z\right) - \left(a \cdot t + i \cdot x\right) \cdot 4\right) - \left(\left(k \cdot j\right) \cdot 27 - c \cdot b\right)\\ \mathbf{elif}\;t < 165.68027943805222:\\ \;\;\;\;\left(\left(18 \cdot y\right) \cdot \left(x \cdot \left(z \cdot t\right)\right) - \left(a \cdot t + i \cdot x\right) \cdot 4\right) + \left(c \cdot b - 27 \cdot \left(k \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\left(18 \cdot t\right) \cdot \left(\left(x \cdot y\right) \cdot z\right) - \left(a \cdot t + i \cdot x\right) \cdot 4\right) - \left(\left(k \cdot j\right) \cdot 27 - c \cdot b\right)\\ \end{array} \]

Derivation

1. Split input into 3 regimes

2. if x < -4.99999999999999964e-35

   1. Initial program 83.0%

      \[\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   2. Applied egg-rr 96.1%

      \[\leadsto \left(\left(\left(\color{blue}{{\left(\left(x \cdot 18\right) \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)}^{1}} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      Proof

      [Start] 83.0	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      pow1 [=>] 83.0	\[ \left(\left(\left(\color{blue}{{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t\right)}^{1}} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*l* [=>] 87.0	\[ \left(\left(\left({\color{blue}{\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot \left(z \cdot t\right)\right)}}^{1} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*l* [=>] 96.1	\[ \left(\left(\left({\color{blue}{\left(\left(x \cdot 18\right) \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)}}^{1} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   if -4.99999999999999964e-35 < x < 7.6000000000000004e-4

   1. Initial program 97.4%

      \[\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   2. Taylor expanded in x around 0 97.4%

      \[\leadsto \left(\left(\left(\color{blue}{\left(18 \cdot \left(y \cdot \left(z \cdot x\right)\right)\right)} \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   3. Simplified 97.3%

      \[\leadsto \left(\left(\left(\color{blue}{\left(\left(z \cdot x\right) \cdot \left(18 \cdot y\right)\right)} \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      Proof

      [Start] 97.4	\[ \left(\left(\left(\left(18 \cdot \left(y \cdot \left(z \cdot x\right)\right)\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [=>] 97.3	\[ \left(\left(\left(\color{blue}{\left(\left(18 \cdot y\right) \cdot \left(z \cdot x\right)\right)} \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      *-commutative [=>] 97.3	\[ \left(\left(\left(\color{blue}{\left(\left(z \cdot x\right) \cdot \left(18 \cdot y\right)\right)} \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   if 7.6000000000000004e-4 < x

   1. Initial program 82.1%

      \[\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   2. Simplified 88.9%

      \[\leadsto \color{blue}{\left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)} \]
      Proof

      [Start] 82.1	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate--l- [=>] 82.1	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right)} \]
      associate-+l- [=>] 82.1	\[ \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(\left(a \cdot 4\right) \cdot t - b \cdot c\right)\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-+l- [<=] 82.1	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      distribute-rgt-out-- [=>] 82.1	\[ \left(\color{blue}{t \cdot \left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z - a \cdot 4\right)} + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 89.0	\[ \left(t \cdot \left(\color{blue}{\left(x \cdot 18\right) \cdot \left(y \cdot z\right)} - a \cdot 4\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 89.0	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(\color{blue}{x \cdot \left(4 \cdot i\right)} + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 88.9	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + \color{blue}{j \cdot \left(27 \cdot k\right)}\right) \]

   3. Taylor expanded in x around 0 97.4%

      \[\leadsto \color{blue}{\left(c \cdot b + \left(\left(18 \cdot \left(y \cdot \left(t \cdot z\right)\right) - 4 \cdot i\right) \cdot x + -4 \cdot \left(a \cdot t\right)\right)\right) - 27 \cdot \left(k \cdot j\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 97.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -5 \cdot 10^{-35}:\\ \;\;\;\;\left(\left(\left(\left(x \cdot 18\right) \cdot \left(y \cdot \left(z \cdot t\right)\right) + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;x \leq 0.00076:\\ \;\;\;\;\left(\left(\left(t \cdot \left(\left(x \cdot z\right) \cdot \left(18 \cdot y\right)\right) + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + \left(j \cdot k\right) \cdot -27\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	50.8%
Cost	2812

\[\begin{array}{l} t_1 := 4 \cdot \left(x \cdot i\right)\\ t_2 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ t_4 := b \cdot c + t_3\\ t_5 := b \cdot c - t_1\\ t_6 := \left(j \cdot k\right) \cdot -27\\ t_7 := b \cdot c + t_6\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{+20}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.1 \cdot 10^{-48}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-79}:\\ \;\;\;\;t_3 + t_6\\ \mathbf{elif}\;x \leq -1.66 \cdot 10^{-81}:\\ \;\;\;\;18 \cdot \left(\left(z \cdot t\right) \cdot \left(x \cdot y\right)\right)\\ \mathbf{elif}\;x \leq -1.22 \cdot 10^{-88}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -9.2 \cdot 10^{-116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.5 \cdot 10^{-147}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-163}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -4 \cdot 10^{-192}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-301}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-256}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-72}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 1.18 \cdot 10^{-7}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{+65}:\\ \;\;\;\;t_6 - t_1\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(t \cdot \left(18 \cdot \left(y \cdot z\right)\right) + i \cdot -4\right)\\ \end{array} \]

Alternative 2
Accuracy	51.0%
Cost	2812

\[\begin{array}{l} t_1 := 4 \cdot \left(x \cdot i\right)\\ t_2 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ t_4 := b \cdot c + t_3\\ t_5 := b \cdot c - t_1\\ t_6 := \left(j \cdot k\right) \cdot -27\\ t_7 := b \cdot c + t_6\\ \mathbf{if}\;x \leq -9.5 \cdot 10^{+20}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-10}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-48}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-79}:\\ \;\;\;\;t_3 + t_6\\ \mathbf{elif}\;x \leq -1.66 \cdot 10^{-81}:\\ \;\;\;\;18 \cdot \left(\left(z \cdot t\right) \cdot \left(x \cdot y\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-89}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -9.5 \cdot 10^{-116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.5 \cdot 10^{-147}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -3.7 \cdot 10^{-165}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -4 \cdot 10^{-192}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{-300}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 5 \cdot 10^{-256}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{-77}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-11}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{+61}:\\ \;\;\;\;t_6 - t_1\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \end{array} \]

Alternative 3
Accuracy	49.1%
Cost	2684

\[\begin{array}{l} t_1 := 4 \cdot \left(x \cdot i\right)\\ t_2 := \left(j \cdot k\right) \cdot -27\\ t_3 := b \cdot c + t_2\\ t_4 := t_2 - t_1\\ t_5 := -4 \cdot \left(t \cdot a\right)\\ t_6 := b \cdot c + t_5\\ t_7 := t_5 + t_2\\ \mathbf{if}\;x \leq -3.2 \cdot 10^{+109}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -2.75 \cdot 10^{-6}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -2.7 \cdot 10^{-48}:\\ \;\;\;\;b \cdot c - t_1\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-79}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -1.66 \cdot 10^{-81}:\\ \;\;\;\;18 \cdot \left(\left(z \cdot t\right) \cdot \left(x \cdot y\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-111}:\\ \;\;\;\;18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\\ \mathbf{elif}\;x \leq -1.35 \cdot 10^{-136}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-160}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-165}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-300}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-256}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-13}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 8.4 \cdot 10^{+16}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 4
Accuracy	50.5%
Cost	2416

\[\begin{array}{l} t_1 := 4 \cdot \left(x \cdot i\right)\\ t_2 := \left(j \cdot k\right) \cdot -27\\ t_3 := b \cdot c + t_2\\ t_4 := t_2 - t_1\\ t_5 := -4 \cdot \left(t \cdot a\right)\\ t_6 := b \cdot c + t_5\\ \mathbf{if}\;x \leq -1.5 \cdot 10^{+109}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -0.00135:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -8.6 \cdot 10^{-48}:\\ \;\;\;\;b \cdot c - t_1\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-79}:\\ \;\;\;\;t_5 + t_2\\ \mathbf{elif}\;x \leq -1.66 \cdot 10^{-81}:\\ \;\;\;\;18 \cdot \left(\left(z \cdot t\right) \cdot \left(x \cdot y\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-111}:\\ \;\;\;\;18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\\ \mathbf{elif}\;x \leq 10^{-300}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-256}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.75 \cdot 10^{-10}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 7.5 \cdot 10^{+63}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(t \cdot \left(18 \cdot \left(y \cdot z\right)\right) + i \cdot -4\right)\\ \end{array} \]

Alternative 5
Accuracy	97.0%
Cost	2249

\[\begin{array}{l} \mathbf{if}\;x \leq -2.75 \cdot 10^{-49} \lor \neg \left(x \leq 0.0007\right):\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + \left(j \cdot k\right) \cdot -27\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(t \cdot \left(\left(x \cdot z\right) \cdot \left(18 \cdot y\right)\right) + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \end{array} \]

Alternative 6
Accuracy	84.6%
Cost	2128

\[\begin{array}{l} t_1 := b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ t_2 := j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\\ t_3 := \left(b \cdot c + x \cdot \left(\left(y \cdot t\right) \cdot \left(18 \cdot z\right)\right)\right) + t_2\\ \mathbf{if}\;x \leq -1 \cdot 10^{+106}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -0.00027:\\ \;\;\;\;t_1 + -4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-67}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\right) + t_2\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-13}:\\ \;\;\;\;t_1 + \left(j \cdot k\right) \cdot -27\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 7
Accuracy	92.3%
Cost	2121

\[\begin{array}{l} t_1 := \left(j \cdot k\right) \cdot -27\\ \mathbf{if}\;x \leq -4.1 \cdot 10^{-162} \lor \neg \left(x \leq 7.2 \cdot 10^{-31}\right):\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right) + t_1\\ \end{array} \]

Alternative 8
Accuracy	96.6%
Cost	2121

\[\begin{array}{l} \mathbf{if}\;t \leq -2 \cdot 10^{+14} \lor \neg \left(t \leq 5.6 \cdot 10^{-117}\right):\\ \;\;\;\;\left(b \cdot c + t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right)\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + \left(j \cdot k\right) \cdot -27\\ \end{array} \]

Alternative 9
Accuracy	81.4%
Cost	2000

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i\right)\\ t_2 := j \cdot \left(k \cdot -27\right)\\ t_3 := \left(b \cdot c - t \cdot \left(a \cdot 4\right)\right) + \left(t_2 - x \cdot \left(4 \cdot i\right)\right)\\ \mathbf{if}\;a \leq -1.45 \cdot 10^{-206}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.82 \cdot 10^{-214}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(18 \cdot \left(x \cdot \left(y \cdot z\right)\right)\right)\right) + \left(j \cdot k\right) \cdot -27\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{-137}:\\ \;\;\;\;b \cdot c + \left(t_1 + t_2\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-38}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Accuracy	71.3%
Cost	1884

\[\begin{array}{l} t_1 := \left(b \cdot c + a \cdot \left(t \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ t_2 := b \cdot c + \left(\left(j \cdot k\right) \cdot -27 - 4 \cdot \left(x \cdot i\right)\right)\\ t_3 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -3.8 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.9 \cdot 10^{-171}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Accuracy	71.4%
Cost	1884

\[\begin{array}{l} t_1 := \left(b \cdot c + a \cdot \left(t \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ t_2 := b \cdot c + \left(\left(j \cdot k\right) \cdot -27 - 4 \cdot \left(x \cdot i\right)\right)\\ t_3 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{if}\;x \leq -9.5 \cdot 10^{+20}:\\ \;\;\;\;b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{-171}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 0.00016:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 12
Accuracy	29.1%
Cost	1773

\[\begin{array}{l} t_1 := \left(j \cdot k\right) \cdot -27\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;a \leq -3.2 \cdot 10^{+81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.7 \cdot 10^{-116}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq -1.45 \cdot 10^{-255}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-306}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-204}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.36 \cdot 10^{-63}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq 5 \cdot 10^{+30} \lor \neg \left(a \leq 7.5 \cdot 10^{+109}\right) \land a \leq 2.75 \cdot 10^{+218}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 13
Accuracy	29.0%
Cost	1773

\[\begin{array}{l} t_1 := j \cdot \left(k \cdot -27\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;a \leq -3 \cdot 10^{+78}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -9.8 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-116}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.4 \cdot 10^{-306}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.35 \cdot 10^{-63}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq 1.65 \cdot 10^{+31} \lor \neg \left(a \leq 9.5 \cdot 10^{+110}\right) \land a \leq 1.8 \cdot 10^{+217}:\\ \;\;\;\;\left(j \cdot k\right) \cdot -27\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Accuracy	29.1%
Cost	1773

\[\begin{array}{l} t_1 := j \cdot \left(k \cdot -27\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;a \leq -1.65 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.4 \cdot 10^{-67}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-117}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-253}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2 \cdot 10^{-309}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq 5 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-64}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+30}:\\ \;\;\;\;\left(j \cdot k\right) \cdot -27\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{+114} \lor \neg \left(a \leq 3.5 \cdot 10^{+217}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Accuracy	70.7%
Cost	1752

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_2 := \left(j \cdot k\right) \cdot -27\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ t_4 := b \cdot c + \left(t_2 - 4 \cdot \left(x \cdot i\right)\right)\\ t_5 := t_1 + t_3\\ \mathbf{if}\;x \leq -9 \cdot 10^{+106}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{+15}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-94}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(18 \cdot \left(x \cdot \left(y \cdot z\right)\right)\right)\right) + t_2\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-116}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.12 \cdot 10^{-160}:\\ \;\;\;\;b \cdot c + \left(t_3 + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{-12}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 16
Accuracy	87.0%
Cost	1737

\[\begin{array}{l} \mathbf{if}\;i \leq -1.55 \cdot 10^{-109} \lor \neg \left(i \leq 1.9 \cdot 10^{-179}\right):\\ \;\;\;\;\left(b \cdot c - t \cdot \left(a \cdot 4\right)\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right) + \left(j \cdot k\right) \cdot -27\\ \end{array} \]

Alternative 17
Accuracy	52.0%
Cost	1632

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_2 := b \cdot c - 4 \cdot \left(x \cdot i\right)\\ t_3 := b \cdot c + \left(j \cdot k\right) \cdot -27\\ \mathbf{if}\;k \leq -2.05 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-196}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{-54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+61}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.3 \cdot 10^{+108}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 4.7 \cdot 10^{+155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 3.1 \cdot 10^{+170}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 4.5 \cdot 10^{+178}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Accuracy	67.7%
Cost	1620

\[\begin{array}{l} t_1 := 4 \cdot \left(x \cdot i\right)\\ t_2 := \left(b \cdot c + a \cdot \left(t \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{if}\;x \leq -1.05 \cdot 10^{+110}:\\ \;\;\;\;\left(j \cdot k\right) \cdot -27 - t_1\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -8.2 \cdot 10^{+20}:\\ \;\;\;\;b \cdot c - t_1\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-10}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;x \leq 6.6 \cdot 10^{+57}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \end{array} \]

Alternative 19
Accuracy	70.5%
Cost	1616

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := \left(j \cdot k\right) \cdot -27\\ t_3 := t_1 + \left(t_2 - 4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;c \leq -7.6 \cdot 10^{-87}:\\ \;\;\;\;b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{elif}\;c \leq 9 \cdot 10^{-85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{+58}:\\ \;\;\;\;\left(b \cdot c + t_1\right) + t_2\\ \mathbf{elif}\;c \leq 9 \cdot 10^{+130}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + a \cdot \left(t \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \end{array} \]

Alternative 20
Accuracy	72.0%
Cost	1612

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_2 := \left(j \cdot k\right) \cdot -27\\ t_3 := b \cdot c + \left(t_2 - 4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;x \leq -8.6 \cdot 10^{+105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{+15}:\\ \;\;\;\;t_1 + -4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-94}:\\ \;\;\;\;\left(b \cdot c + \left(18 \cdot y\right) \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + t_2\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-13}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Accuracy	46.9%
Cost	1500

\[\begin{array}{l} t_1 := b \cdot c + \left(j \cdot k\right) \cdot -27\\ t_2 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_3 := x \cdot \left(i \cdot -4\right)\\ \mathbf{if}\;x \leq -2.1 \cdot 10^{+110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.3 \cdot 10^{-14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-250}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.75 \cdot 10^{-75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 9 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.3 \cdot 10^{+58}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Accuracy	49.8%
Cost	1500

\[\begin{array}{l} t_1 := \left(j \cdot k\right) \cdot -27\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := t_2 + t_1\\ t_4 := b \cdot c + t_1\\ t_5 := b \cdot c - 4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;a \leq -3.5 \cdot 10^{+220}:\\ \;\;\;\;b \cdot c + t_2\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{+148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-67}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-209}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 4800:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 7.2 \cdot 10^{+217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.06 \cdot 10^{+282}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 23
Accuracy	84.5%
Cost	1476

\[\begin{array}{l} \mathbf{if}\;y \leq -1.08 \cdot 10^{+195}:\\ \;\;\;\;\left(b \cdot c + \left(18 \cdot y\right) \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + \left(j \cdot k\right) \cdot -27\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c - t \cdot \left(a \cdot 4\right)\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ \end{array} \]

Alternative 24
Accuracy	30.4%
Cost	1376

\[\begin{array}{l} t_1 := \left(j \cdot k\right) \cdot -27\\ t_2 := x \cdot \left(i \cdot -4\right)\\ \mathbf{if}\;c \leq -2.2 \cdot 10^{-70}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;c \leq -2.85 \cdot 10^{-241}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;c \leq 1.62 \cdot 10^{-245}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{-76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 880000000:\\ \;\;\;\;-4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;c \leq 2.45 \cdot 10^{+58}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;c \leq 1.42 \cdot 10^{+122}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 25
Accuracy	44.0%
Cost	1369

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := b \cdot c + \left(j \cdot k\right) \cdot -27\\ \mathbf{if}\;a \leq -2.3 \cdot 10^{+148}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -4.8 \cdot 10^{+100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.38 \cdot 10^{-34}:\\ \;\;\;\;x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+65} \lor \neg \left(a \leq 1.08 \cdot 10^{+111}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 26
Accuracy	72.4%
Cost	1356

\[\begin{array}{l} t_1 := b \cdot c + \left(\left(j \cdot k\right) \cdot -27 - 4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;x \leq -3 \cdot 10^{+105}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -4.1 \cdot 10^{-29}:\\ \;\;\;\;\left(b \cdot c + -4 \cdot \left(t \cdot a\right)\right) + -4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;x \leq 0.000165:\\ \;\;\;\;\left(b \cdot c + a \cdot \left(t \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 27
Accuracy	72.7%
Cost	1356

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_2 := \left(j \cdot k\right) \cdot -27\\ t_3 := b \cdot c + \left(t_2 - 4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;x \leq -2.8 \cdot 10^{+105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{-47}:\\ \;\;\;\;t_1 + -4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-12}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 28
Accuracy	31.7%
Cost	850

\[\begin{array}{l} \mathbf{if}\;c \leq -2.4 \cdot 10^{-70} \lor \neg \left(c \leq 9.2 \cdot 10^{-20}\right) \land \left(c \leq 6.8 \cdot 10^{+58} \lor \neg \left(c \leq 3.25 \cdot 10^{+139}\right)\right):\\ \;\;\;\;b \cdot c\\ \mathbf{else}:\\ \;\;\;\;\left(j \cdot k\right) \cdot -27\\ \end{array} \]

Alternative 29
Accuracy	24.3%
Cost	192

\[b \cdot c \]

Reproduce

herbie shell --seed 2023130 
(FPCore (x y z t a b c i j k)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, E"
  :precision binary64

  :herbie-target
  (if (< t -1.6210815397541398e-69) (- (- (* (* 18.0 t) (* (* x y) z)) (* (+ (* a t) (* i x)) 4.0)) (- (* (* k j) 27.0) (* c b))) (if (< t 165.68027943805222) (+ (- (* (* 18.0 y) (* x (* z t))) (* (+ (* a t) (* i x)) 4.0)) (- (* c b) (* 27.0 (* k j)))) (- (- (* (* 18.0 t) (* (* x y) z)) (* (+ (* a t) (* i x)) 4.0)) (- (* (* k j) 27.0) (* c b)))))

  (- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k)))