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

Average Accuracy: 92.0% → 97.7%

Time: 58.3s

Precision: binary64

Cost: 5320

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

Math

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

↓

\[\begin{array}{l} t_1 := \left(j \cdot 27\right) \cdot k\\ t_2 := t \cdot \left(a \cdot 4\right)\\ t_3 := \left(x \cdot 4\right) \cdot i\\ t_4 := \left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - t_2\right) + b \cdot c\right) - t_3\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{+287}:\\ \;\;\;\;t_4 - t_1\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(y \cdot \left(18 \cdot \left(x \cdot \left(z \cdot t\right)\right)\right) - t_2\right) + b \cdot c\right) - t_3\right) - t_1\\ \end{array} \]

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 (* (* j 27.0) k))
        (t_2 (* t (* a 4.0)))
        (t_3 (* (* x 4.0) i))
        (t_4 (- (+ (- (* (* (* (* x 18.0) y) z) t) t_2) (* b c)) t_3)))
   (if (<= t_4 (- INFINITY))
     (+ (* x (* y (* 18.0 (* z t)))) (* x (* i -4.0)))
     (if (<= t_4 5e+287)
       (- t_4 t_1)
       (- (- (+ (- (* y (* 18.0 (* x (* z t)))) t_2) (* b c)) t_3) t_1)))))

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 = (j * 27.0) * k;
	double t_2 = t * (a * 4.0);
	double t_3 = (x * 4.0) * i;
	double t_4 = ((((((x * 18.0) * y) * z) * t) - t_2) + (b * c)) - t_3;
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = (x * (y * (18.0 * (z * t)))) + (x * (i * -4.0));
	} else if (t_4 <= 5e+287) {
		tmp = t_4 - t_1;
	} else {
		tmp = ((((y * (18.0 * (x * (z * t)))) - t_2) + (b * c)) - t_3) - t_1;
	}
	return tmp;
}

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 = (j * 27.0) * k;
	double t_2 = t * (a * 4.0);
	double t_3 = (x * 4.0) * i;
	double t_4 = ((((((x * 18.0) * y) * z) * t) - t_2) + (b * c)) - t_3;
	double tmp;
	if (t_4 <= -Double.POSITIVE_INFINITY) {
		tmp = (x * (y * (18.0 * (z * t)))) + (x * (i * -4.0));
	} else if (t_4 <= 5e+287) {
		tmp = t_4 - t_1;
	} else {
		tmp = ((((y * (18.0 * (x * (z * t)))) - t_2) + (b * c)) - t_3) - t_1;
	}
	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 = (j * 27.0) * k
	t_2 = t * (a * 4.0)
	t_3 = (x * 4.0) * i
	t_4 = ((((((x * 18.0) * y) * z) * t) - t_2) + (b * c)) - t_3
	tmp = 0
	if t_4 <= -math.inf:
		tmp = (x * (y * (18.0 * (z * t)))) + (x * (i * -4.0))
	elif t_4 <= 5e+287:
		tmp = t_4 - t_1
	else:
		tmp = ((((y * (18.0 * (x * (z * t)))) - t_2) + (b * c)) - t_3) - t_1
	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(Float64(j * 27.0) * k)
	t_2 = Float64(t * Float64(a * 4.0))
	t_3 = Float64(Float64(x * 4.0) * i)
	t_4 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * 18.0) * y) * z) * t) - t_2) + Float64(b * c)) - t_3)
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(Float64(x * Float64(y * Float64(18.0 * Float64(z * t)))) + Float64(x * Float64(i * -4.0)));
	elseif (t_4 <= 5e+287)
		tmp = Float64(t_4 - t_1);
	else
		tmp = Float64(Float64(Float64(Float64(Float64(y * Float64(18.0 * Float64(x * Float64(z * t)))) - t_2) + Float64(b * c)) - t_3) - t_1);
	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 = (j * 27.0) * k;
	t_2 = t * (a * 4.0);
	t_3 = (x * 4.0) * i;
	t_4 = ((((((x * 18.0) * y) * z) * t) - t_2) + (b * c)) - t_3;
	tmp = 0.0;
	if (t_4 <= -Inf)
		tmp = (x * (y * (18.0 * (z * t)))) + (x * (i * -4.0));
	elseif (t_4 <= 5e+287)
		tmp = t_4 - t_1;
	else
		tmp = ((((y * (18.0 * (x * (z * t)))) - t_2) + (b * c)) - t_3) - t_1;
	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[(N[(j * 27.0), $MachinePrecision] * k), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(a * 4.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * 4.0), $MachinePrecision] * i), $MachinePrecision]}, Block[{t$95$4 = N[(N[(N[(N[(N[(N[(N[(x * 18.0), $MachinePrecision] * y), $MachinePrecision] * z), $MachinePrecision] * t), $MachinePrecision] - t$95$2), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] - t$95$3), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(N[(x * N[(y * N[(18.0 * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(i * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 5e+287], N[(t$95$4 - t$95$1), $MachinePrecision], N[(N[(N[(N[(N[(y * N[(18.0 * N[(x * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$2), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] - t$95$3), $MachinePrecision] - t$95$1), $MachinePrecision]]]]]]]

Target

Original	92.0%
Target	97.6%
Herbie	97.7%

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

Derivation

1. Split input into 3 regimes

2. if (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) < -inf.0

   1. Initial program 0.0%

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

   2. Simplified 75.4%

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

      [Start] 0.0	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      sub-neg [=>] 0.0	\[ \color{blue}{\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) + \left(-\left(x \cdot 4\right) \cdot i\right)\right)} - \left(j \cdot 27\right) \cdot k \]
      +-commutative [=>] 0.0	\[ \color{blue}{\left(\left(-\left(x \cdot 4\right) \cdot i\right) + \left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)\right)} - \left(j \cdot 27\right) \cdot k \]
      sub-neg [=>] 0.0	\[ \left(\left(-\left(x \cdot 4\right) \cdot i\right) + \left(\color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + \left(-\left(a \cdot 4\right) \cdot t\right)\right)} + b \cdot c\right)\right) - \left(j \cdot 27\right) \cdot k \]
      associate-+l+ [=>] 0.0	\[ \left(\left(-\left(x \cdot 4\right) \cdot i\right) + \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + \left(\left(-\left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)\right)}\right) - \left(j \cdot 27\right) \cdot k \]
      associate-+r+ [=>] 0.0	\[ \color{blue}{\left(\left(\left(-\left(x \cdot 4\right) \cdot i\right) + \left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t\right) + \left(\left(-\left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)\right)} - \left(j \cdot 27\right) \cdot k \]
      associate--l+ [=>] 0.0	\[ \color{blue}{\left(\left(-\left(x \cdot 4\right) \cdot i\right) + \left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t\right) + \left(\left(\left(-\left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(j \cdot 27\right) \cdot k\right)} \]
      +-commutative [<=] 0.0	\[ \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + \left(-\left(x \cdot 4\right) \cdot i\right)\right)} + \left(\left(\left(-\left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(j \cdot 27\right) \cdot k\right) \]
      sub-neg [<=] 0.0	\[ \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(x \cdot 4\right) \cdot i\right)} + \left(\left(\left(-\left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(j \cdot 27\right) \cdot k\right) \]

   3. Taylor expanded in x around inf 66.6%

      \[\leadsto \color{blue}{\left(18 \cdot \left(y \cdot \left(t \cdot z\right)\right) + -4 \cdot i\right) \cdot x} \]

   4. Applied egg-rr 66.5%

      \[\leadsto \color{blue}{\left(y \cdot \left(\left(t \cdot z\right) \cdot 18\right)\right) \cdot x + \left(-4 \cdot i\right) \cdot x} \]
      Proof

      [Start] 66.6	\[ \left(18 \cdot \left(y \cdot \left(t \cdot z\right)\right) + -4 \cdot i\right) \cdot x \]
      *-commutative [=>] 66.6	\[ \color{blue}{x \cdot \left(18 \cdot \left(y \cdot \left(t \cdot z\right)\right) + -4 \cdot i\right)} \]
      distribute-rgt-in [=>] 66.6	\[ \color{blue}{\left(18 \cdot \left(y \cdot \left(t \cdot z\right)\right)\right) \cdot x + \left(-4 \cdot i\right) \cdot x} \]
      *-commutative [=>] 66.6	\[ \color{blue}{\left(\left(y \cdot \left(t \cdot z\right)\right) \cdot 18\right)} \cdot x + \left(-4 \cdot i\right) \cdot x \]
      associate-*l* [=>] 66.5	\[ \color{blue}{\left(y \cdot \left(\left(t \cdot z\right) \cdot 18\right)\right)} \cdot x + \left(-4 \cdot i\right) \cdot x \]

   if -inf.0 < (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) < 5e287

   1. Initial program 99.4%

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

   if 5e287 < (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i))

   1. Initial program 39.2%

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

   2. Taylor expanded in x around 0 83.1%

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

   3. Simplified 90.9%

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

      [Start] 83.1	\[ \left(\left(\left(18 \cdot \left(y \cdot \left(t \cdot \left(z \cdot x\right)\right)\right) - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      *-commutative [=>] 83.1	\[ \left(\left(\left(\color{blue}{\left(y \cdot \left(t \cdot \left(z \cdot x\right)\right)\right) \cdot 18} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*l* [=>] 83.1	\[ \left(\left(\left(\color{blue}{y \cdot \left(\left(t \cdot \left(z \cdot x\right)\right) \cdot 18\right)} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      *-commutative [<=] 83.1	\[ \left(\left(\left(y \cdot \color{blue}{\left(18 \cdot \left(t \cdot \left(z \cdot x\right)\right)\right)} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [=>] 90.9	\[ \left(\left(\left(y \cdot \left(18 \cdot \color{blue}{\left(\left(t \cdot z\right) \cdot x\right)}\right) - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      *-commutative [=>] 90.9	\[ \left(\left(\left(y \cdot \left(18 \cdot \color{blue}{\left(x \cdot \left(t \cdot z\right)\right)}\right) - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

3. Recombined 3 regimes into one program.

4. Final simplification 97.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - t \cdot \left(a \cdot 4\right)\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i \leq -\infty:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - t \cdot \left(a \cdot 4\right)\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i \leq 5 \cdot 10^{+287}:\\ \;\;\;\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - t \cdot \left(a \cdot 4\right)\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(y \cdot \left(18 \cdot \left(x \cdot \left(z \cdot t\right)\right)\right) - t \cdot \left(a \cdot 4\right)\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	26.8%
Cost	2556

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := i \cdot \left(x \cdot -4\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;t \leq -2.9 \cdot 10^{+231}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{+169}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(x \cdot \left(y \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{+91}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq -7.2 \cdot 10^{+62}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -2.65 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -8.2 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -4 \cdot 10^{-194}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.02 \cdot 10^{-283}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{-283}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 8.6 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-223}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{-173}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{-60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-46}:\\ \;\;\;\;18 \cdot \left(\left(z \cdot t\right) \cdot \left(x \cdot y\right)\right)\\ \mathbf{elif}\;t \leq 8.2 \cdot 10^{+179}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Accuracy	27.0%
Cost	2556

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := i \cdot \left(x \cdot -4\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;t \leq -6 \cdot 10^{+228}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.5 \cdot 10^{+169}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(x \cdot \left(y \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.95 \cdot 10^{+92}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq -6.2 \cdot 10^{+62}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -6 \cdot 10^{-9}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{-204}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -6.8 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-284}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 1.02 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.76 \cdot 10^{-261}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;t \leq 2.45 \cdot 10^{-225}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-172}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 1.65 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-47}:\\ \;\;\;\;18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\\ \mathbf{elif}\;t \leq 2.35 \cdot 10^{+185}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 3
Accuracy	27.0%
Cost	2556

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := i \cdot \left(x \cdot -4\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;t \leq -2.35 \cdot 10^{+233}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -2.8 \cdot 10^{+169}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(x \cdot \left(y \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{+92}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq -8.6 \cdot 10^{+60}:\\ \;\;\;\;t \cdot \left(y \cdot \left(18 \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.9 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-177}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -6.5 \cdot 10^{-284}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 8.6 \cdot 10^{-262}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;t \leq 1.75 \cdot 10^{-220}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{-173}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 8 \cdot 10^{-48}:\\ \;\;\;\;18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\\ \mathbf{elif}\;t \leq 2.42 \cdot 10^{+185}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 4
Accuracy	29.7%
Cost	2300

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ t_3 := i \cdot \left(x \cdot -4\right)\\ \mathbf{if}\;i \leq -2.75 \cdot 10^{+76}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.85 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.7 \cdot 10^{-40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -3.7 \cdot 10^{-301}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 4.1 \cdot 10^{-283}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.05 \cdot 10^{-234}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 1.02 \cdot 10^{-150}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 5.2 \cdot 10^{-126}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 8.6 \cdot 10^{-103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.1 \cdot 10^{-93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.3 \cdot 10^{-90}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{-50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{-9}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{+71}:\\ \;\;\;\;b \cdot c\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Accuracy	29.8%
Cost	2300

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ t_3 := i \cdot \left(x \cdot -4\right)\\ \mathbf{if}\;i \leq -9 \cdot 10^{+77}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -3.7 \cdot 10^{-41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -4.2 \cdot 10^{-302}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{-283}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2 \cdot 10^{-236}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 3.7 \cdot 10^{-149}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;i \leq 3.4 \cdot 10^{-126}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{-102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 9 \cdot 10^{-94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 3.15 \cdot 10^{-87}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;i \leq 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{-10}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.1 \cdot 10^{+71}:\\ \;\;\;\;b \cdot c\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Accuracy	27.0%
Cost	2300

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := i \cdot \left(x \cdot -4\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;t \leq -1.4 \cdot 10^{+228}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{+169}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(x \cdot \left(y \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{+91}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq -7.6 \cdot 10^{+62}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;t \leq -7.6 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-178}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-206}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -4.9 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-285}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 3.9 \cdot 10^{-283}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 8 \cdot 10^{-263}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-225}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-170}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.42 \cdot 10^{+185}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Accuracy	66.9%
Cost	2272

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := -4 \cdot \left(t \cdot a\right)\\ t_4 := 4 \cdot \left(x \cdot i\right)\\ t_5 := \left(b \cdot c + t_3\right) - t_4\\ \mathbf{if}\;k \leq -1.7 \cdot 10^{-201}:\\ \;\;\;\;b \cdot c + \left(t_1 + t_3\right)\\ \mathbf{elif}\;k \leq -1.95 \cdot 10^{-255}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot t_2\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 1.48 \cdot 10^{-114}:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-57}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+116}:\\ \;\;\;\;t_3 - \left(t_4 + 27 \cdot \left(j \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.12 \cdot 10^{+151}:\\ \;\;\;\;b \cdot c + \left(t_1 + 18 \cdot \left(t \cdot t_2\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{+270}:\\ \;\;\;\;b \cdot c - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + \left(t_1 + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right)\\ \end{array} \]

Alternative 8
Accuracy	97.3%
Cost	2248

\[\begin{array}{l} t_1 := x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\\ \mathbf{if}\;t \leq -6 \cdot 10^{+79}:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot z\right) \cdot \left(18 \cdot y\right) - a \cdot 4\right) + b \cdot c\right) - t_1\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-8}:\\ \;\;\;\;\left(\left(\left(y \cdot \left(18 \cdot \left(x \cdot \left(z \cdot t\right)\right)\right) - t \cdot \left(a \cdot 4\right)\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - t_1\\ \end{array} \]

Alternative 9
Accuracy	93.4%
Cost	2120

\[\begin{array}{l} t_1 := x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\\ \mathbf{if}\;y \leq -1.25 \cdot 10^{+120}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right) - t_1\\ \mathbf{elif}\;y \leq 0.00125:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + y \cdot \left(18 \cdot \left(z \cdot \left(x \cdot t\right)\right)\right)\right)\\ \end{array} \]

Alternative 10
Accuracy	93.8%
Cost	2120

\[\begin{array}{l} t_1 := x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\\ \mathbf{if}\;y \leq -5 \cdot 10^{+157}:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot z\right) \cdot \left(18 \cdot y\right) - a \cdot 4\right) + b \cdot c\right) - t_1\\ \mathbf{elif}\;y \leq 0.00125:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + y \cdot \left(18 \cdot \left(z \cdot \left(x \cdot t\right)\right)\right)\right)\\ \end{array} \]

Alternative 11
Accuracy	49.0%
Cost	2024

\[\begin{array}{l} t_1 := x \cdot \left(i \cdot -4 + 18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := b \cdot c + t_2\\ t_4 := -27 \cdot \left(j \cdot k\right)\\ t_5 := t_4 + t_2\\ \mathbf{if}\;k \leq -9 \cdot 10^{-73}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{-204}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{-265}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-273}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-111}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{-53}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.3 \cdot 10^{+15}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 3.8 \cdot 10^{+116}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + t_4\\ \end{array} \]

Alternative 12
Accuracy	58.2%
Cost	2018

\[\begin{array}{l} t_1 := b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{if}\;k \leq -1.7 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -1 \cdot 10^{-273}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 3.9 \cdot 10^{-296}:\\ \;\;\;\;b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-234} \lor \neg \left(k \leq 8 \cdot 10^{-153}\right) \land \left(k \leq 2.9 \cdot 10^{-111} \lor \neg \left(k \leq 1.75 \cdot 10^{-51}\right) \land k \leq 1.7 \cdot 10^{+15}\right):\\ \;\;\;\;x \cdot \left(i \cdot -4 + 18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 13
Accuracy	58.2%
Cost	2017

\[\begin{array}{l} t_1 := x \cdot \left(i \cdot -4 + 18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\\ t_2 := b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{if}\;k \leq -1.7 \cdot 10^{-201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -2.75 \cdot 10^{-272}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 5.6 \cdot 10^{-296}:\\ \;\;\;\;b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 3.8 \cdot 10^{-153}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-111}:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;k \leq 1.56 \cdot 10^{-51} \lor \neg \left(k \leq 1.7 \cdot 10^{+15}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Accuracy	48.7%
Cost	1892

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := x \cdot \left(i \cdot -4 + 18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\\ t_3 := b \cdot c + t_1\\ t_4 := -27 \cdot \left(j \cdot k\right)\\ t_5 := t_4 + t_1\\ \mathbf{if}\;k \leq -1.85 \cdot 10^{-75}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -1.8 \cdot 10^{-201}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-273}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-299}:\\ \;\;\;\;b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{-153}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{+15}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{+116}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + t_4\\ \end{array} \]

Alternative 15
Accuracy	67.7%
Cost	1880

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := 4 \cdot \left(x \cdot i\right)\\ t_3 := \left(b \cdot c + t_1\right) - t_2\\ \mathbf{if}\;k \leq -2.05 \cdot 10^{-201}:\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + t_1\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{-255}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.48 \cdot 10^{-114}:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;k \leq 5 \cdot 10^{-57}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 3.7 \cdot 10^{+113}:\\ \;\;\;\;t_1 - \left(t_2 + 27 \cdot \left(j \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \end{array} \]

Alternative 16
Accuracy	69.8%
Cost	1880

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := b \cdot c - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ t_4 := 4 \cdot \left(x \cdot i\right)\\ t_5 := b \cdot c + \left(t_1 + 18 \cdot \left(t \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\right)\\ \mathbf{if}\;a \leq -4.5 \cdot 10^{-111}:\\ \;\;\;\;b \cdot c + \left(t_1 + t_2\right)\\ \mathbf{elif}\;a \leq -4.8 \cdot 10^{-202}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 3 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-194}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-157}:\\ \;\;\;\;\left(b \cdot c + t_2\right) - t_4\\ \mathbf{elif}\;a \leq 7.9 \cdot 10^{+49}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2 - \left(t_4 + 27 \cdot \left(j \cdot k\right)\right)\\ \end{array} \]

Alternative 17
Accuracy	81.5%
Cost	1873

\[\begin{array}{l} t_1 := \left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{if}\;k \leq -4.3 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{-255}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152} \lor \neg \left(k \leq 1.55 \cdot 10^{-114}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \end{array} \]

Alternative 18
Accuracy	84.0%
Cost	1868

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;y \leq -8.2 \cdot 10^{+246}:\\ \;\;\;\;b \cdot c + \left(t_1 + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right)\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{+227}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(z \cdot \left(x \cdot y\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;y \leq -3.6 \cdot 10^{+72}:\\ \;\;\;\;b \cdot c + \left(t_1 + x \cdot \left(i \cdot -4 + 18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \end{array} \]

Alternative 19
Accuracy	84.0%
Cost	1868

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;y \leq -8.2 \cdot 10^{+246}:\\ \;\;\;\;b \cdot c + \left(t_1 + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right)\\ \mathbf{elif}\;y \leq -3 \cdot 10^{+227}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(z \cdot \left(x \cdot y\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;y \leq -1.8 \cdot 10^{+72}:\\ \;\;\;\;b \cdot c + \left(t_1 + x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \end{array} \]

Alternative 20
Accuracy	84.8%
Cost	1868

\[\begin{array}{l} t_1 := x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\\ t_2 := \left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) - t_1\\ \mathbf{if}\;x \leq -5.7 \cdot 10^{-5}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -8.4 \cdot 10^{-78}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right) - t_1\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-70}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\right)\\ \end{array} \]

Alternative 21
Accuracy	87.7%
Cost	1865

\[\begin{array}{l} t_1 := x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\\ \mathbf{if}\;a \leq -1 \cdot 10^{-128} \lor \neg \left(a \leq 9.6 \cdot 10^{-173}\right):\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(y \cdot \left(18 \cdot \left(x \cdot z\right)\right)\right)\right) - t_1\\ \end{array} \]

Alternative 22
Accuracy	47.6%
Cost	1760

\[\begin{array}{l} t_1 := i \cdot \left(x \cdot -4\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := b \cdot c + t_2\\ t_4 := -27 \cdot \left(j \cdot k\right)\\ t_5 := t_4 + t_2\\ \mathbf{if}\;k \leq -6.1 \cdot 10^{-74}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-273}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.48 \cdot 10^{-114}:\\ \;\;\;\;y \cdot \left(18 \cdot \left(x \cdot \left(z \cdot t\right)\right)\right)\\ \mathbf{elif}\;k \leq 5.3 \cdot 10^{-53}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{+15}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 7 \cdot 10^{+115}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + t_4\\ \end{array} \]

Alternative 23
Accuracy	45.8%
Cost	1628

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := b \cdot c + t_1\\ t_3 := -27 \cdot \left(j \cdot k\right)\\ t_4 := t_3 + t_1\\ t_5 := x \cdot \left(i \cdot -4 + 18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\\ \mathbf{if}\;k \leq -9.4 \cdot 10^{-73}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq -1.9 \cdot 10^{-201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 5 \cdot 10^{-153}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-111}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+15}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+116}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + t_3\\ \end{array} \]

Alternative 24
Accuracy	68.9%
Cost	1620

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := \left(b \cdot c + t_1\right) - 4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;k \leq -1.7 \cdot 10^{-201}:\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + t_1\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{-255}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.48 \cdot 10^{-114}:\\ \;\;\;\;x \cdot \left(y \cdot \left(18 \cdot \left(z \cdot t\right)\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-39}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;b \cdot c - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \end{array} \]

Alternative 25
Accuracy	42.7%
Cost	1501

\[\begin{array}{l} t_1 := i \cdot \left(x \cdot -4\right)\\ t_2 := b \cdot c + -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;k \leq -9.6 \cdot 10^{-202}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -2.65 \cdot 10^{-257}:\\ \;\;\;\;18 \cdot \left(t \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 2.2 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 6 \cdot 10^{-153}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.48 \cdot 10^{-114}:\\ \;\;\;\;y \cdot \left(18 \cdot \left(x \cdot \left(z \cdot t\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.12 \cdot 10^{-51} \lor \neg \left(k \leq 1.7 \cdot 10^{-20}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 26
Accuracy	49.3%
Cost	1500

\[\begin{array}{l} t_1 := i \cdot \left(x \cdot -4\right)\\ t_2 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_3 := b \cdot c + -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;k \leq -1.6 \cdot 10^{-47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 6.4 \cdot 10^{-273}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-152}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.48 \cdot 10^{-114}:\\ \;\;\;\;y \cdot \left(18 \cdot \left(x \cdot \left(z \cdot t\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.85 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Accuracy	72.3%
Cost	1489

\[\begin{array}{l} t_1 := b \cdot c - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{if}\;i \leq -3.8 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -2.5 \cdot 10^{+52}:\\ \;\;\;\;t \cdot \left(a \cdot -4 + 18 \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-40} \lor \neg \left(i \leq 1.3 \cdot 10^{+72}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + -4 \cdot \left(t \cdot a\right)\right)\\ \end{array} \]

Alternative 28
Accuracy	30.7%
Cost	980

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;k \leq -2.95 \cdot 10^{-80}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-201}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{-274}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-295}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 29
Accuracy	32.9%
Cost	585

\[\begin{array}{l} \mathbf{if}\;k \leq -1.75 \cdot 10^{-87} \lor \neg \left(k \leq 6.5 \cdot 10^{-48}\right):\\ \;\;\;\;-27 \cdot \left(j \cdot k\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 30
Accuracy	24.6%
Cost	192

\[b \cdot c \]

Reproduce

herbie shell --seed 2023151 
(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)))