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

Average Error: 8.29% → 2.49%

Time: 39.6s

Precision: binary64

Cost: 6088

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

Math

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

↓

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + t_1\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + t_1\\ \mathbf{elif}\;t_2 \leq 10^{+303}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(\left(y \cdot z\right) \cdot \left(x \cdot t\right)\right)\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \end{array} \]

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 (* k (* j -27.0)))
        (t_2
         (+
          (+
           (+ (+ (* (* (* (* x 18.0) y) z) t) (* t (* a -4.0))) (* b c))
           (* i (* x -4.0)))
          t_1)))
   (if (<= t_2 (- INFINITY))
     (+
      (+
       (* b c)
       (+ (* x (+ (* 18.0 (* y (* z t))) (* i -4.0))) (* -4.0 (* t a))))
      t_1)
     (if (<= t_2 1e+303)
       t_2
       (+
        (+ (* b c) (* 18.0 (* (* y z) (* x t))))
        (+ (* x (* i -4.0)) (* 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 = k * (j * -27.0);
	double t_2 = (((((((x * 18.0) * y) * z) * t) + (t * (a * -4.0))) + (b * c)) + (i * (x * -4.0))) + t_1;
	double tmp;
	if (t_2 <= -((double) INFINITY)) {
		tmp = ((b * c) + ((x * ((18.0 * (y * (z * t))) + (i * -4.0))) + (-4.0 * (t * a)))) + t_1;
	} else if (t_2 <= 1e+303) {
		tmp = t_2;
	} else {
		tmp = ((b * c) + (18.0 * ((y * z) * (x * t)))) + ((x * (i * -4.0)) + (j * (k * -27.0)));
	}
	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 = k * (j * -27.0);
	double t_2 = (((((((x * 18.0) * y) * z) * t) + (t * (a * -4.0))) + (b * c)) + (i * (x * -4.0))) + t_1;
	double tmp;
	if (t_2 <= -Double.POSITIVE_INFINITY) {
		tmp = ((b * c) + ((x * ((18.0 * (y * (z * t))) + (i * -4.0))) + (-4.0 * (t * a)))) + t_1;
	} else if (t_2 <= 1e+303) {
		tmp = t_2;
	} else {
		tmp = ((b * c) + (18.0 * ((y * z) * (x * t)))) + ((x * (i * -4.0)) + (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 = k * (j * -27.0)
	t_2 = (((((((x * 18.0) * y) * z) * t) + (t * (a * -4.0))) + (b * c)) + (i * (x * -4.0))) + t_1
	tmp = 0
	if t_2 <= -math.inf:
		tmp = ((b * c) + ((x * ((18.0 * (y * (z * t))) + (i * -4.0))) + (-4.0 * (t * a)))) + t_1
	elif t_2 <= 1e+303:
		tmp = t_2
	else:
		tmp = ((b * c) + (18.0 * ((y * z) * (x * t)))) + ((x * (i * -4.0)) + (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(k * Float64(j * -27.0))
	t_2 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * 18.0) * y) * z) * t) + Float64(t * Float64(a * -4.0))) + Float64(b * c)) + Float64(i * Float64(x * -4.0))) + t_1)
	tmp = 0.0
	if (t_2 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(b * c) + Float64(Float64(x * Float64(Float64(18.0 * Float64(y * Float64(z * t))) + Float64(i * -4.0))) + Float64(-4.0 * Float64(t * a)))) + t_1);
	elseif (t_2 <= 1e+303)
		tmp = t_2;
	else
		tmp = Float64(Float64(Float64(b * c) + Float64(18.0 * Float64(Float64(y * z) * Float64(x * t)))) + Float64(Float64(x * Float64(i * -4.0)) + Float64(j * Float64(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 = k * (j * -27.0);
	t_2 = (((((((x * 18.0) * y) * z) * t) + (t * (a * -4.0))) + (b * c)) + (i * (x * -4.0))) + t_1;
	tmp = 0.0;
	if (t_2 <= -Inf)
		tmp = ((b * c) + ((x * ((18.0 * (y * (z * t))) + (i * -4.0))) + (-4.0 * (t * a)))) + t_1;
	elseif (t_2 <= 1e+303)
		tmp = t_2;
	else
		tmp = ((b * c) + (18.0 * ((y * z) * (x * t)))) + ((x * (i * -4.0)) + (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[(k * N[(j * -27.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(N[(N[(N[(x * 18.0), $MachinePrecision] * y), $MachinePrecision] * z), $MachinePrecision] * t), $MachinePrecision] + N[(t * N[(a * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + N[(i * N[(x * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]}, If[LessEqual[t$95$2, (-Infinity)], N[(N[(N[(b * c), $MachinePrecision] + N[(N[(x * N[(N[(18.0 * N[(y * N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * -4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(-4.0 * N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision], If[LessEqual[t$95$2, 1e+303], t$95$2, N[(N[(N[(b * c), $MachinePrecision] + N[(18.0 * N[(N[(y * z), $MachinePrecision] * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x * N[(i * -4.0), $MachinePrecision]), $MachinePrecision] + N[(j * N[(k * -27.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Target

Original	8.29%
Target	2.39%
Herbie	2.49%

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

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 100

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

   2. Simplified 65.23

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

      [Start] 100	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      cancel-sign-sub-inv [=>] 100	\[ \color{blue}{\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) + \left(-j \cdot 27\right) \cdot k} \]
      associate--l+ [=>] 100	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + \left(b \cdot c - \left(x \cdot 4\right) \cdot i\right)\right)} + \left(-j \cdot 27\right) \cdot k \]

   3. Taylor expanded in x around 0 10.68

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

   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)) < 1e303

   1. Initial program 0.35

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

   if 1e303 < (-.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 81.77

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

   2. Simplified 53.87

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

      [Start] 81.77	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate--l- [=>] 81.77	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right)} \]
      associate-+l- [=>] 81.77	\[ \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(\left(a \cdot 4\right) \cdot t - b \cdot c\right)\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-+l- [<=] 81.77	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      distribute-rgt-out-- [=>] 81.77	\[ \left(\color{blue}{t \cdot \left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z - a \cdot 4\right)} + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 54.93	\[ \left(t \cdot \left(\color{blue}{\left(x \cdot 18\right) \cdot \left(y \cdot z\right)} - a \cdot 4\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 54.93	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(\color{blue}{x \cdot \left(4 \cdot i\right)} + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 53.87	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + \color{blue}{j \cdot \left(27 \cdot k\right)}\right) \]

   3. Taylor expanded in x around inf 25.13

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

   4. Simplified 36.27

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

      [Start] 25.13	\[ \left(18 \cdot \left(y \cdot \left(t \cdot \left(z \cdot x\right)\right)\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]
      *-commutative [=>] 25.13	\[ \left(18 \cdot \left(y \cdot \color{blue}{\left(\left(z \cdot x\right) \cdot t\right)}\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]
      associate-*r* [=>] 58.96	\[ \left(18 \cdot \color{blue}{\left(\left(y \cdot \left(z \cdot x\right)\right) \cdot t\right)} + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]
      associate-*r* [=>] 59.2	\[ \left(18 \cdot \left(\color{blue}{\left(\left(y \cdot z\right) \cdot x\right)} \cdot t\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]
      associate-*l* [=>] 36.27	\[ \left(18 \cdot \color{blue}{\left(\left(y \cdot z\right) \cdot \left(x \cdot t\right)\right)} + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]

3. Recombined 3 regimes into one program.

4. Final simplification 2.49

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right) \leq -\infty:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right) \leq 10^{+303}:\\ \;\;\;\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(\left(y \cdot z\right) \cdot \left(x \cdot t\right)\right)\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	34.8%
Cost	2272

\[\begin{array}{l} t_1 := \left(y \cdot \left(x \cdot z\right)\right) \cdot \left(18 \cdot t\right) + t \cdot \left(a \cdot -4\right)\\ t_2 := b \cdot c + \left(-4 \cdot \left(t \cdot a\right) + -27 \cdot \left(j \cdot k\right)\right)\\ t_3 := k \cdot \left(j \cdot -27\right)\\ t_4 := x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + t_3\\ t_5 := t_3 + \left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;c \leq -6 \cdot 10^{-129}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -6.9 \cdot 10^{-164}:\\ \;\;\;\;t_1 + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;c \leq 9.8 \cdot 10^{-263}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 1.56 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-124}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{+40}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 9.2 \cdot 10^{+76}:\\ \;\;\;\;b \cdot c + t_1\\ \mathbf{elif}\;c \leq 8.8 \cdot 10^{+118}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 2
Error	11.07%
Cost	2252

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;t \leq -5.3 \cdot 10^{+137}:\\ \;\;\;\;b \cdot c + \left(t_1 + -27 \cdot \left(j \cdot k\right)\right)\\ \mathbf{elif}\;t \leq -7.2 \cdot 10^{+20}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{elif}\;t \leq 1.92 \cdot 10^{+43}:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + t_1\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right) + \left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right)\\ \end{array} \]

Alternative 3
Error	49.19%
Cost	2152

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := t_1 + -4 \cdot \left(x \cdot i\right)\\ t_3 := b \cdot c + a \cdot \left(t \cdot -4\right)\\ t_4 := -4 \cdot \left(t \cdot a\right) + t_1\\ t_5 := b \cdot c + t_1\\ t_6 := x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \mathbf{if}\;x \leq -3.4 \cdot 10^{-31}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -5.5 \cdot 10^{-195}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-230}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -2.9 \cdot 10^{-266}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{-266}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-113}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 5.2 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 380000000:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 4
Error	3.28%
Cost	2121

\[\begin{array}{l} \mathbf{if}\;t \leq -1.95 \cdot 10^{+52} \lor \neg \left(t \leq 2 \cdot 10^{-21}\right):\\ \;\;\;\;\left(b \cdot c + t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right)\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + k \cdot \left(j \cdot -27\right)\\ \end{array} \]

Alternative 5
Error	14.59%
Cost	2000

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_2 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right) + t_1\\ t_3 := \left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{if}\;j \leq -2.7 \cdot 10^{-183}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.7 \cdot 10^{-261}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-286}:\\ \;\;\;\;-4 \cdot \left(t \cdot a\right) + t_1\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{-141}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Error	14.64%
Cost	2000

\[\begin{array}{l} t_1 := t \cdot \left(a \cdot -4\right)\\ t_2 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := \left(b \cdot c + t_1\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{if}\;j \leq -2.8 \cdot 10^{-189}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -3.1 \cdot 10^{-263}:\\ \;\;\;\;t_2 + \left(t_3 \cdot \left(18 \cdot t\right) + t_1\right)\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-284}:\\ \;\;\;\;-4 \cdot \left(t \cdot a\right) + t_2\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{-141}:\\ \;\;\;\;t \cdot \left(18 \cdot t_3 + a \cdot -4\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Error	14.66%
Cost	1996

\[\begin{array}{l} t_1 := t \cdot \left(a \cdot -4\right)\\ t_2 := x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\\ t_3 := \left(b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right) + t_2\\ \mathbf{if}\;y \leq -9.2 \cdot 10^{+153}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{+87}:\\ \;\;\;\;\left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right) + \left(\left(y \cdot \left(x \cdot z\right)\right) \cdot \left(18 \cdot t\right) + t_1\right)\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{+27}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t_1\right) + t_2\\ \end{array} \]

Alternative 8
Error	13.65%
Cost	1996

\[\begin{array}{l} t_1 := x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\\ t_2 := \left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + t_1\\ \mathbf{if}\;a \leq -4.2 \cdot 10^{-116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.1 \cdot 10^{-216}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(\left(y \cdot z\right) \cdot \left(x \cdot t\right)\right)\right) + t_1\\ \mathbf{elif}\;a \leq 1.35 \cdot 10^{-83}:\\ \;\;\;\;\left(b \cdot c + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 9
Error	33.6%
Cost	1884

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := b \cdot c + \left(t_1 + -27 \cdot \left(j \cdot k\right)\right)\\ t_3 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_4 := t_1 + t_3\\ t_5 := k \cdot \left(j \cdot -27\right)\\ t_6 := x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + t_5\\ \mathbf{if}\;k \leq -3.9 \cdot 10^{-86}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;k \leq 5.4 \cdot 10^{-125}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 2.2 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 1.92 \cdot 10^{+34}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+56}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;k \leq 4 \cdot 10^{+72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 9 \cdot 10^{+147}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5 + t_3\\ \end{array} \]

Alternative 10
Error	70.16%
Cost	1640

\[\begin{array}{l} t_1 := t \cdot \left(a \cdot -4\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;x \leq -3.1 \cdot 10^{+41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{-187}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;x \leq -1.25 \cdot 10^{-267}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{-113}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.7 \cdot 10^{-49}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.65 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6500000000:\\ \;\;\;\;b \cdot c\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	36%
Cost	1628

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := t_2 + t_1\\ t_4 := -4 \cdot \left(t \cdot a\right) + \left(b \cdot c + t_1\right)\\ t_5 := b \cdot c + t_2\\ \mathbf{if}\;k \leq -5.6 \cdot 10^{-28}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 9 \cdot 10^{+33}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 7.5 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.5 \cdot 10^{+169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 4.5 \cdot 10^{+218}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{+244}:\\ \;\;\;\;b \cdot c + a \cdot \left(t \cdot -4\right)\\ \mathbf{elif}\;k \leq 3.4 \cdot 10^{+279}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 12
Error	36.19%
Cost	1628

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := -4 \cdot \left(t \cdot a\right) + \left(b \cdot c + t_1\right)\\ t_4 := b \cdot c + t_2\\ \mathbf{if}\;k \leq -4.2 \cdot 10^{-27}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 8 \cdot 10^{+38}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 3.6 \cdot 10^{+71}:\\ \;\;\;\;t_2 + 18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right)\\ \mathbf{elif}\;k \leq 7.6 \cdot 10^{+166}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 4.5 \cdot 10^{+218}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 3.3 \cdot 10^{+243}:\\ \;\;\;\;b \cdot c + a \cdot \left(t \cdot -4\right)\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{+279}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 13
Error	16.08%
Cost	1609

\[\begin{array}{l} \mathbf{if}\;a \leq -1.35 \cdot 10^{-192} \lor \neg \left(a \leq -9.5 \cdot 10^{-240}\right):\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + \left(x \cdot \left(i \cdot -4\right) + j \cdot \left(k \cdot -27\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right) + k \cdot \left(j \cdot -27\right)\\ \end{array} \]

Alternative 14
Error	69.61%
Cost	1508

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;j \leq -6.2 \cdot 10^{+209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.1 \cdot 10^{+171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -5.1 \cdot 10^{+76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.7 \cdot 10^{-24}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;j \leq -3.5 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -8.8 \cdot 10^{-91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -4.4 \cdot 10^{-119}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2 \cdot 10^{-56}:\\ \;\;\;\;b \cdot c\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	69.59%
Cost	1508

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i\right)\\ t_2 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;j \leq -6 \cdot 10^{+209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.1 \cdot 10^{+173}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{+76}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-24}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.5 \cdot 10^{-88}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -6.2 \cdot 10^{-118}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;j \leq -6.7 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.65 \cdot 10^{-55}:\\ \;\;\;\;b \cdot c\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Error	58.27%
Cost	1500

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := -4 \cdot \left(x \cdot i\right)\\ t_3 := b \cdot c + a \cdot \left(t \cdot -4\right)\\ \mathbf{if}\;x \leq -3 \cdot 10^{-207}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -5.5 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{-39}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3700000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{+70}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+96}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 4 \cdot 10^{+132}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 17
Error	54.37%
Cost	1500

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := -4 \cdot \left(t \cdot a\right) + t_1\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ t_4 := b \cdot c + t_1\\ \mathbf{if}\;i \leq -3.4 \cdot 10^{+149}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -9.6 \cdot 10^{+55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -9 \cdot 10^{-45}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -9.5 \cdot 10^{-165}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{-242}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 1.75 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 10^{+141}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Error	48.64%
Cost	1496

\[\begin{array}{l} t_1 := b \cdot c + a \cdot \left(t \cdot -4\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := -4 \cdot \left(t \cdot a\right) + t_2\\ t_4 := t_2 + -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;x \leq -3 \cdot 10^{+44}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-281}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-116}:\\ \;\;\;\;b \cdot c + t_2\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{-58}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 8.6 \cdot 10^{-56}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 19
Error	29.1%
Cost	1490

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;k \leq -4 \cdot 10^{-31} \lor \neg \left(k \leq 4.8 \cdot 10^{-125} \lor \neg \left(k \leq 1.1 \cdot 10^{+72}\right) \land k \leq 3.8 \cdot 10^{+166}\right):\\ \;\;\;\;b \cdot c + \left(t_1 + -27 \cdot \left(j \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right)\\ \end{array} \]

Alternative 20
Error	28.97%
Cost	1489

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := -4 \cdot \left(t \cdot a\right)\\ t_3 := t_2 + \left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{if}\;x \leq -7.6 \cdot 10^{-81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{-23}:\\ \;\;\;\;b \cdot c + \left(t_2 + t_1\right)\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{+105} \lor \neg \left(x \leq 3.6 \cdot 10^{+146}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + x \cdot \left(\left(y \cdot z\right) \cdot \left(18 \cdot t\right)\right)\\ \end{array} \]

Alternative 21
Error	30.65%
Cost	1488

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_3 := k \cdot \left(j \cdot -27\right) + t_2\\ t_4 := t_1 + t_2\\ \mathbf{if}\;k \leq -1.45 \cdot 10^{-204}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 5 \cdot 10^{-125}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 3 \cdot 10^{+72}:\\ \;\;\;\;b \cdot c + \left(t_1 + -27 \cdot \left(j \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 7.8 \cdot 10^{+147}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Error	47.86%
Cost	1106

\[\begin{array}{l} \mathbf{if}\;j \leq -3.8 \cdot 10^{+76} \lor \neg \left(j \leq -4 \cdot 10^{+28}\right) \land \left(j \leq -1.12 \cdot 10^{-88} \lor \neg \left(j \leq 4.8 \cdot 10^{-24}\right)\right):\\ \;\;\;\;b \cdot c + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c + a \cdot \left(t \cdot -4\right)\\ \end{array} \]

Alternative 23
Error	68.18%
Cost	849

\[\begin{array}{l} \mathbf{if}\;b \leq -1.8 \cdot 10^{+95}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;b \leq -1.8 \cdot 10^{+60} \lor \neg \left(b \leq -1.2 \cdot 10^{-88}\right) \land b \leq 3.5 \cdot 10^{-127}:\\ \;\;\;\;-27 \cdot \left(j \cdot k\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 24
Error	76.07%
Cost	192

\[b \cdot c \]

Reproduce

herbie shell --seed 2023121 
(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)))