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

Average Accuracy: 91.6% → 97.1%

Time: 42.2s

Precision: binary64

Cost: 6088

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

Math

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

↓

\[\begin{array}{l} t_1 := i \cdot \left(x \cdot -4\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := t \cdot \left(a \cdot -4\right)\\ t_4 := \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t_3\right) + b \cdot c\right) + t_1\right) + t_2\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;\left(\left(\left(x \cdot \left(\left(18 \cdot y\right) \cdot \left(z \cdot t\right)\right) + t_3\right) + b \cdot c\right) + t_1\right) + t_2\\ \mathbf{elif}\;t_4 \leq 10^{+290}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ \end{array} \]

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 (* t (* a -4.0)))
        (t_4 (+ (+ (+ (+ (* (* (* (* x 18.0) y) z) t) t_3) (* b c)) t_1) t_2)))
   (if (<= t_4 (- INFINITY))
     (+ (+ (+ (+ (* x (* (* 18.0 y) (* z t))) t_3) (* b c)) t_1) t_2)
     (if (<= t_4 1e+290)
       t_4
       (+
        (+ (* 18.0 (* y (* t (* x z)))) (* b c))
        (- (* j (* k -27.0)) (* x (* 4.0 i))))))))

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 = t * (a * -4.0);
	double t_4 = (((((((x * 18.0) * y) * z) * t) + t_3) + (b * c)) + t_1) + t_2;
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = ((((x * ((18.0 * y) * (z * t))) + t_3) + (b * c)) + t_1) + t_2;
	} else if (t_4 <= 1e+290) {
		tmp = t_4;
	} else {
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((j * (k * -27.0)) - (x * (4.0 * i)));
	}
	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 = i * (x * -4.0);
	double t_2 = k * (j * -27.0);
	double t_3 = t * (a * -4.0);
	double t_4 = (((((((x * 18.0) * y) * z) * t) + t_3) + (b * c)) + t_1) + t_2;
	double tmp;
	if (t_4 <= -Double.POSITIVE_INFINITY) {
		tmp = ((((x * ((18.0 * y) * (z * t))) + t_3) + (b * c)) + t_1) + t_2;
	} else if (t_4 <= 1e+290) {
		tmp = t_4;
	} else {
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((j * (k * -27.0)) - (x * (4.0 * i)));
	}
	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 = t * (a * -4.0)
	t_4 = (((((((x * 18.0) * y) * z) * t) + t_3) + (b * c)) + t_1) + t_2
	tmp = 0
	if t_4 <= -math.inf:
		tmp = ((((x * ((18.0 * y) * (z * t))) + t_3) + (b * c)) + t_1) + t_2
	elif t_4 <= 1e+290:
		tmp = t_4
	else:
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((j * (k * -27.0)) - (x * (4.0 * i)))
	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(t * Float64(a * -4.0))
	t_4 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * 18.0) * y) * z) * t) + t_3) + Float64(b * c)) + t_1) + t_2)
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(Float64(Float64(x * Float64(Float64(18.0 * y) * Float64(z * t))) + t_3) + Float64(b * c)) + t_1) + t_2);
	elseif (t_4 <= 1e+290)
		tmp = t_4;
	else
		tmp = Float64(Float64(Float64(18.0 * Float64(y * Float64(t * Float64(x * z)))) + Float64(b * c)) + Float64(Float64(j * Float64(k * -27.0)) - Float64(x * Float64(4.0 * i))));
	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 = t * (a * -4.0);
	t_4 = (((((((x * 18.0) * y) * z) * t) + t_3) + (b * c)) + t_1) + t_2;
	tmp = 0.0;
	if (t_4 <= -Inf)
		tmp = ((((x * ((18.0 * y) * (z * t))) + t_3) + (b * c)) + t_1) + t_2;
	elseif (t_4 <= 1e+290)
		tmp = t_4;
	else
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((j * (k * -27.0)) - (x * (4.0 * i)));
	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[(t * N[(a * -4.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(N[(N[(N[(N[(N[(N[(x * 18.0), $MachinePrecision] * y), $MachinePrecision] * z), $MachinePrecision] * t), $MachinePrecision] + t$95$3), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision] + t$95$2), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(N[(N[(N[(N[(x * N[(N[(18.0 * y), $MachinePrecision] * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision] + t$95$2), $MachinePrecision], If[LessEqual[t$95$4, 1e+290], t$95$4, N[(N[(N[(18.0 * N[(y * N[(t * N[(x * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + N[(N[(j * N[(k * -27.0), $MachinePrecision]), $MachinePrecision] - N[(x * N[(4.0 * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	91.6%
Target	97.2%
Herbie	97.1%

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

Derivation

1. Split input into 3 regimes

2. if (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) < -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. Taylor expanded in x around 0 86.3%

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

   3. Simplified 87.0%

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

      [Start] 86.3	\[ \left(\left(\left(18 \cdot \left(y \cdot \left(t \cdot \left(z \cdot x\right)\right)\right) - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [=>] 85.4	\[ \left(\left(\left(\color{blue}{\left(18 \cdot y\right) \cdot \left(t \cdot \left(z \cdot x\right)\right)} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [=>] 91.7	\[ \left(\left(\left(\left(18 \cdot y\right) \cdot \color{blue}{\left(\left(t \cdot z\right) \cdot x\right)} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      *-commutative [<=] 91.7	\[ \left(\left(\left(\left(18 \cdot y\right) \cdot \left(\color{blue}{\left(z \cdot t\right)} \cdot x\right) - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [=>] 87.0	\[ \left(\left(\left(\color{blue}{\left(\left(18 \cdot y\right) \cdot \left(z \cdot t\right)\right) \cdot x} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [<=] 87.9	\[ \left(\left(\left(\color{blue}{\left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)} \cdot x - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      *-commutative [<=] 87.9	\[ \left(\left(\left(\color{blue}{x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate-*r* [=>] 87.0	\[ \left(\left(\left(x \cdot \color{blue}{\left(\left(18 \cdot y\right) \cdot \left(z \cdot t\right)\right)} - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]

   if -inf.0 < (-.f64 (-.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)) (*.f64 (*.f64 j 27) k)) < 1.00000000000000006e290

   1. Initial program 99.5%

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

   if 1.00000000000000006e290 < (-.f64 (-.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)) (*.f64 (*.f64 j 27) k))

   1. Initial program 45.8%

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

   2. Simplified 60.9%

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

      [Start] 45.8	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate--l- [=>] 45.8	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right)} \]
      associate-+l- [=>] 45.8	\[ \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(\left(a \cdot 4\right) \cdot t - b \cdot c\right)\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-+l- [<=] 45.8	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      distribute-rgt-out-- [=>] 45.9	\[ \left(\color{blue}{t \cdot \left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z - a \cdot 4\right)} + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 59.9	\[ \left(t \cdot \left(\color{blue}{\left(x \cdot 18\right) \cdot \left(y \cdot z\right)} - a \cdot 4\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 59.9	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(\color{blue}{x \cdot \left(4 \cdot i\right)} + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 60.9	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + \color{blue}{j \cdot \left(27 \cdot k\right)}\right) \]

   3. Taylor expanded in x around inf 74.7%

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

   4. Simplified 74.7%

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

      [Start] 74.7	\[ \left(18 \cdot \left(y \cdot \left(t \cdot \left(z \cdot x\right)\right)\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]
      *-commutative [=>] 74.7	\[ \left(18 \cdot \left(y \cdot \color{blue}{\left(\left(z \cdot x\right) \cdot t\right)}\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]

3. Recombined 3 regimes into one program.

4. Final simplification 97.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right) \leq -\infty:\\ \;\;\;\;\left(\left(\left(x \cdot \left(\left(18 \cdot y\right) \cdot \left(z \cdot t\right)\right) + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right) \leq 10^{+290}:\\ \;\;\;\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	55.5%
Cost	3292

\[\begin{array}{l} t_1 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ t_2 := b \cdot c + -27 \cdot \left(j \cdot k\right)\\ t_3 := b \cdot c - x \cdot \left(4 \cdot i\right)\\ t_4 := \left(j \cdot 27\right) \cdot k\\ \mathbf{if}\;t_4 \leq -2 \cdot 10^{+81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_4 \leq -1 \cdot 10^{+14}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right) + t \cdot \left(a \cdot -4\right)\\ \mathbf{elif}\;t_4 \leq -5 \cdot 10^{-54}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_4 \leq -2 \cdot 10^{-197}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{-61}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{-28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{+15}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 2
Accuracy	54.4%
Cost	2516

\[\begin{array}{l} t_1 := b \cdot c + -27 \cdot \left(j \cdot k\right)\\ t_2 := b \cdot c - x \cdot \left(4 \cdot i\right)\\ t_3 := \left(j \cdot 27\right) \cdot k\\ t_4 := k \cdot \left(j \cdot -27\right) + t \cdot \left(a \cdot -4\right)\\ \mathbf{if}\;t_3 \leq -2 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_3 \leq -1 \cdot 10^{+14}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t_3 \leq -5 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_3 \leq -2 \cdot 10^{-210}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t_3 \leq 5 \cdot 10^{+15}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 3
Accuracy	69.3%
Cost	2404

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := b \cdot c + \left(t_1 + -4 \cdot \left(t \cdot a\right)\right)\\ t_4 := \left(b \cdot c + \left(18 \cdot y\right) \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + t_2\\ t_5 := b \cdot c + \left(t_1 + -4 \cdot \left(x \cdot i\right)\right)\\ t_6 := \left(x \cdot i + t \cdot a\right) \cdot -4 + t_2\\ \mathbf{if}\;c \leq -9.5 \cdot 10^{-106}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-213}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-174}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 5.2 \cdot 10^{-134}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 4.9 \cdot 10^{-45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-38}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{+90}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + t_2\\ \mathbf{elif}\;c \leq 1.22 \cdot 10^{+224}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 6 \cdot 10^{+287}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 4
Accuracy	82.1%
Cost	2392

\[\begin{array}{l} t_1 := \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right) + b \cdot c\right) + x \cdot \left(i \cdot -4\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := \left(b \cdot c + \left(x \cdot i + t \cdot a\right) \cdot -4\right) + t_2\\ t_4 := \left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ \mathbf{if}\;k \leq -6.8 \cdot 10^{-143}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-292}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-214}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-44}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+39}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right) + t_2\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{+78}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Accuracy	92.6%
Cost	2252

\[\begin{array}{l} t_1 := j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\\ t_2 := \left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + t_1\\ \mathbf{if}\;y \leq -1.2 \cdot 10^{+210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-145}:\\ \;\;\;\;\left(\left(\left(x \cdot \left(\left(18 \cdot y\right) \cdot \left(z \cdot t\right)\right) + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-94}:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right) + b \cdot c\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 6
Accuracy	55.1%
Cost	2129

\[\begin{array}{l} t_1 := b \cdot c + -27 \cdot \left(j \cdot k\right)\\ t_2 := \left(j \cdot 27\right) \cdot k\\ \mathbf{if}\;t_2 \leq -2 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_2 \leq -2 \cdot 10^{+14}:\\ \;\;\;\;-4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t_2 \leq -2 \cdot 10^{-38} \lor \neg \left(t_2 \leq 5 \cdot 10^{+15}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c - x \cdot \left(4 \cdot i\right)\\ \end{array} \]

Alternative 7
Accuracy	92.1%
Cost	2121

\[\begin{array}{l} t_1 := j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\\ \mathbf{if}\;y \leq -1.2 \cdot 10^{+205} \lor \neg \left(y \leq 2.8 \cdot 10^{-94}\right):\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right) + b \cdot c\right) + t_1\\ \end{array} \]

Alternative 8
Accuracy	83.7%
Cost	2000

\[\begin{array}{l} t_1 := \left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + \left(j \cdot \left(k \cdot -27\right) - x \cdot \left(4 \cdot i\right)\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := \left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right) + t_2\\ \mathbf{if}\;x \leq -1.35 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -3.6 \cdot 10^{-172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-251}:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot i + t \cdot a\right) \cdot -4\right) + t_2\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{-116}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 9
Accuracy	30.8%
Cost	1773

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := -4 \cdot \left(x \cdot i\right)\\ t_3 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;k \leq -5 \cdot 10^{-132}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{-266}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{-306}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 7.8 \cdot 10^{-93}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq 8.2 \cdot 10^{-39}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-22}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq 300000000000:\\ \;\;\;\;18 \cdot \left(t \cdot \left(y \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.5 \cdot 10^{+40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 4 \cdot 10^{+78}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 4.1 \cdot 10^{+178} \lor \neg \left(k \leq 5.6 \cdot 10^{+210}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 10
Accuracy	30.2%
Cost	1772

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;c \leq -1.8 \cdot 10^{-112}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;c \leq -8.2 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 8.4 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-35}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 400:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 9.2 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.7 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+120}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 11
Accuracy	30.4%
Cost	1772

\[\begin{array}{l} t_1 := j \cdot \left(k \cdot -27\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{-106}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;c \leq -3.2 \cdot 10^{-289}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.9 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.4 \cdot 10^{-196}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 7.1 \cdot 10^{-56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{-34}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 0.15:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{+50}:\\ \;\;\;\;-27 \cdot \left(j \cdot k\right)\\ \mathbf{elif}\;c \leq 1.36 \cdot 10^{+91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 9.8 \cdot 10^{+120}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 12
Accuracy	30.3%
Cost	1772

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;c \leq -4.7 \cdot 10^{-108}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-288}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 6.2 \cdot 10^{-204}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-163}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 3.9 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 6.5 \cdot 10^{-35}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 0.059:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 8 \cdot 10^{+47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 8.4 \cdot 10^{+89}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.22 \cdot 10^{+120}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 13
Accuracy	70.4%
Cost	1620

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := b \cdot c + \left(t_1 + -4 \cdot \left(t \cdot a\right)\right)\\ t_3 := b \cdot c + \left(t_1 + -4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;c \leq -1.56 \cdot 10^{-109}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{-134}:\\ \;\;\;\;\left(x \cdot i + t \cdot a\right) \cdot -4 + k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;c \leq 4 \cdot 10^{-45}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-38}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \mathbf{elif}\;c \leq 10^{+91}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 14
Accuracy	70.5%
Cost	1620

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := b \cdot c + \left(t_1 + -4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;c \leq -9.2 \cdot 10^{-106}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-134}:\\ \;\;\;\;\left(x \cdot i + t \cdot a\right) \cdot -4 + t_2\\ \mathbf{elif}\;c \leq 3 \cdot 10^{-45}:\\ \;\;\;\;b \cdot c + \left(t_1 + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-38}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \mathbf{elif}\;c \leq 6.5 \cdot 10^{+89}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 15
Accuracy	30.9%
Cost	1509

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;k \leq -1.12 \cdot 10^{-132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -6.5 \cdot 10^{-237}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-303}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.5 \cdot 10^{-93}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq 3.4 \cdot 10^{+66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{+179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{+194}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+208} \lor \neg \left(k \leq 2.4 \cdot 10^{+215}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 16
Accuracy	65.4%
Cost	1357

\[\begin{array}{l} \mathbf{if}\;x \leq -6.5 \cdot 10^{+15}:\\ \;\;\;\;b \cdot c - x \cdot \left(4 \cdot i\right)\\ \mathbf{elif}\;x \leq 14000 \lor \neg \left(x \leq 1.7 \cdot 10^{+84}\right):\\ \;\;\;\;b \cdot c + \left(-27 \cdot \left(j \cdot k\right) + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \end{array} \]

Alternative 17
Accuracy	84.0%
Cost	1344

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

Alternative 18
Accuracy	42.8%
Cost	1237

\[\begin{array}{l} t_1 := b \cdot c + k \cdot \left(j \cdot -27\right)\\ t_2 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;x \leq -1 \cdot 10^{+17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.3 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.45 \cdot 10^{-253}:\\ \;\;\;\;-4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;x \leq 15500 \lor \neg \left(x \leq 4 \cdot 10^{+31}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 19
Accuracy	73.2%
Cost	1225

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;t \leq -5.6 \cdot 10^{-35} \lor \neg \left(t \leq 1.7 \cdot 10^{-38}\right):\\ \;\;\;\;b \cdot c + \left(t_1 + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + \left(t_1 + -4 \cdot \left(x \cdot i\right)\right)\\ \end{array} \]

Alternative 20
Accuracy	84.1%
Cost	1216

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

Alternative 21
Accuracy	50.6%
Cost	1104

\[\begin{array}{l} t_1 := b \cdot c - x \cdot \left(4 \cdot i\right)\\ t_2 := b \cdot c + k \cdot \left(j \cdot -27\right)\\ \mathbf{if}\;j \leq -1.35 \cdot 10^{+17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-135}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -9.2 \cdot 10^{-203}:\\ \;\;\;\;-4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;j \leq 1.3 \cdot 10^{-129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 22
Accuracy	31.6%
Cost	850

\[\begin{array}{l} \mathbf{if}\;k \leq -5.1 \cdot 10^{-132} \lor \neg \left(k \leq 1.25 \cdot 10^{-20}\right) \land \left(k \leq 4.1 \cdot 10^{+178} \lor \neg \left(k \leq 5.2 \cdot 10^{+210}\right)\right):\\ \;\;\;\;-27 \cdot \left(j \cdot k\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 23
Accuracy	24.8%
Cost	192

\[b \cdot c \]

Reproduce

herbie shell --seed 2023138 
(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)))