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

Average Error: 8.8% → 4.18%

Time: 50.7s

Precision: binary64

Cost: 6088

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

Math

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

↓

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + t_1\\ \mathbf{if}\;t_2 \leq -1 \cdot 10^{+302}:\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + \left(x \cdot \left(i \cdot -4\right) - j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+305}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + t_1\\ \end{array} \]

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 (* 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 -1e+302)
     (+
      (+ (* 18.0 (* y (* t (* x z)))) (* b c))
      (- (* x (* i -4.0)) (* j (* 27.0 k))))
     (if (<= t_2 5e+305)
       t_2
       (+ (+ (* b c) (+ (* -4.0 (* x i)) (* -4.0 (* t a)))) 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 = 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 <= -1e+302) {
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((x * (i * -4.0)) - (j * (27.0 * k)));
	} else if (t_2 <= 5e+305) {
		tmp = t_2;
	} else {
		tmp = ((b * c) + ((-4.0 * (x * i)) + (-4.0 * (t * a)))) + t_1;
	}
	return tmp;
}

Fortran

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

↓

real(8) function code(x, y, z, t, a, b, c, i, j, k)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = k * (j * (-27.0d0))
    t_2 = (((((((x * 18.0d0) * y) * z) * t) + (t * (a * (-4.0d0)))) + (b * c)) + (i * (x * (-4.0d0)))) + t_1
    if (t_2 <= (-1d+302)) then
        tmp = ((18.0d0 * (y * (t * (x * z)))) + (b * c)) + ((x * (i * (-4.0d0))) - (j * (27.0d0 * k)))
    else if (t_2 <= 5d+305) then
        tmp = t_2
    else
        tmp = ((b * c) + (((-4.0d0) * (x * i)) + ((-4.0d0) * (t * a)))) + t_1
    end if
    code = tmp
end function

Java

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

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k) {
	double t_1 = 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 <= -1e+302) {
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((x * (i * -4.0)) - (j * (27.0 * k)));
	} else if (t_2 <= 5e+305) {
		tmp = t_2;
	} else {
		tmp = ((b * c) + ((-4.0 * (x * i)) + (-4.0 * (t * a)))) + 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 = 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 <= -1e+302:
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((x * (i * -4.0)) - (j * (27.0 * k)))
	elif t_2 <= 5e+305:
		tmp = t_2
	else:
		tmp = ((b * c) + ((-4.0 * (x * i)) + (-4.0 * (t * a)))) + 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(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 <= -1e+302)
		tmp = Float64(Float64(Float64(18.0 * Float64(y * Float64(t * Float64(x * z)))) + Float64(b * c)) + Float64(Float64(x * Float64(i * -4.0)) - Float64(j * Float64(27.0 * k))));
	elseif (t_2 <= 5e+305)
		tmp = t_2;
	else
		tmp = Float64(Float64(Float64(b * c) + Float64(Float64(-4.0 * Float64(x * i)) + Float64(-4.0 * Float64(t * a)))) + 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 = 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 <= -1e+302)
		tmp = ((18.0 * (y * (t * (x * z)))) + (b * c)) + ((x * (i * -4.0)) - (j * (27.0 * k)));
	elseif (t_2 <= 5e+305)
		tmp = t_2;
	else
		tmp = ((b * c) + ((-4.0 * (x * i)) + (-4.0 * (t * a)))) + 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[(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, -1e+302], N[(N[(N[(18.0 * N[(y * N[(t * N[(x * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * c), $MachinePrecision]), $MachinePrecision] + N[(N[(x * N[(i * -4.0), $MachinePrecision]), $MachinePrecision] - N[(j * N[(27.0 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$2, 5e+305], t$95$2, N[(N[(N[(b * c), $MachinePrecision] + N[(N[(-4.0 * N[(x * i), $MachinePrecision]), $MachinePrecision] + N[(-4.0 * N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]]]]]

Target

Original	8.8%
Target	2.46%
Herbie	4.18%

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

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)) < -1.0000000000000001e302

   1. Initial program 81.28

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

   2. Simplified 56.22

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

      [Start] 81.28	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      associate--l- [=>] 81.28	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right)} \]
      associate-+l- [=>] 81.28	\[ \color{blue}{\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(\left(a \cdot 4\right) \cdot t - b \cdot c\right)\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-+l- [<=] 81.28	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right)} - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      distribute-rgt-out-- [=>] 81.28	\[ \left(\color{blue}{t \cdot \left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z - a \cdot 4\right)} + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 57.17	\[ \left(t \cdot \left(\color{blue}{\left(x \cdot 18\right) \cdot \left(y \cdot z\right)} - a \cdot 4\right) + b \cdot c\right) - \left(\left(x \cdot 4\right) \cdot i + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 57.17	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(\color{blue}{x \cdot \left(4 \cdot i\right)} + \left(j \cdot 27\right) \cdot k\right) \]
      associate-*l* [=>] 56.22	\[ \left(t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) - a \cdot 4\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + \color{blue}{j \cdot \left(27 \cdot k\right)}\right) \]

   3. Taylor expanded in x around inf 27.88

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

   4. Simplified 27.88

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

      [Start] 27.88	\[ \left(18 \cdot \left(y \cdot \left(t \cdot \left(z \cdot x\right)\right)\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]
      *-commutative [=>] 27.88	\[ \left(18 \cdot \left(y \cdot \color{blue}{\left(\left(z \cdot x\right) \cdot t\right)}\right) + b \cdot c\right) - \left(x \cdot \left(4 \cdot i\right) + j \cdot \left(27 \cdot k\right)\right) \]

   if -1.0000000000000001e302 < (-.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)) < 5.00000000000000009e305

   1. Initial program 0.46

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

   if 5.00000000000000009e305 < (-.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 91.05

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

   2. Simplified 61.74

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

      [Start] 91.05	\[ \left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) - \left(j \cdot 27\right) \cdot k \]
      cancel-sign-sub-inv [=>] 91.05	\[ \color{blue}{\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4\right) \cdot i\right) + \left(-j \cdot 27\right) \cdot k} \]
      associate--l+ [=>] 91.05	\[ \color{blue}{\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4\right) \cdot t\right) + \left(b \cdot c - \left(x \cdot 4\right) \cdot i\right)\right)} + \left(-j \cdot 27\right) \cdot k \]

   3. Taylor expanded in y around 0 51.3

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

4. Final simplification 4.18

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right) \leq -1 \cdot 10^{+302}:\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + \left(x \cdot \left(i \cdot -4\right) - j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{elif}\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right) \leq 5 \cdot 10^{+305}:\\ \;\;\;\;\left(\left(\left(\left(\left(\left(x \cdot 18\right) \cdot y\right) \cdot z\right) \cdot t + t \cdot \left(a \cdot -4\right)\right) + b \cdot c\right) + i \cdot \left(x \cdot -4\right)\right) + k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + k \cdot \left(j \cdot -27\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	52.63%
Cost	2553

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := \left(j \cdot 27\right) \cdot k\\ t_4 := x \cdot \left(i \cdot -4\right) - t_3\\ t_5 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_6 := t_1 + 18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\\ \mathbf{if}\;t \leq -4.5 \cdot 10^{-85}:\\ \;\;\;\;t \cdot \left(18 \cdot t_2 + a \cdot -4\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{-113}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-280}:\\ \;\;\;\;b \cdot c - t_3\\ \mathbf{elif}\;t \leq 1.75 \cdot 10^{-307}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-255}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-227}:\\ \;\;\;\;b \cdot c + -4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 2.4 \cdot 10^{-223}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 8 \cdot 10^{-121}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-100}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3.15 \cdot 10^{-35}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{+52}:\\ \;\;\;\;-4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+92}:\\ \;\;\;\;t_1 + t_2 \cdot \left(18 \cdot t\right)\\ \mathbf{elif}\;t \leq 2.45 \cdot 10^{+156} \lor \neg \left(t \leq 9.8 \cdot 10^{+171}\right):\\ \;\;\;\;t_1 + t \cdot \left(a \cdot -4\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 2
Error	52.17%
Cost	2280

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := \left(j \cdot 27\right) \cdot k\\ t_3 := x \cdot \left(i \cdot -4\right) - t_2\\ t_4 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_5 := t_1 + 18 \cdot \left(\left(x \cdot z\right) \cdot \left(y \cdot t\right)\right)\\ \mathbf{if}\;t \leq -2.5 \cdot 10^{-87}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;t \leq -4.5 \cdot 10^{-113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-281}:\\ \;\;\;\;b \cdot c - t_2\\ \mathbf{elif}\;t \leq 4.3 \cdot 10^{-308}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-256}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 3.4 \cdot 10^{-233}:\\ \;\;\;\;b \cdot c + -4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 1.46 \cdot 10^{-223}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-122}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.12 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-35}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{+52}:\\ \;\;\;\;-4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + t \cdot \left(a \cdot -4\right)\\ \end{array} \]

Alternative 3
Error	50.61%
Cost	2156

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ t_2 := \left(j \cdot 27\right) \cdot k\\ t_3 := b \cdot c - t_2\\ t_4 := -4 \cdot \left(x \cdot i + t \cdot a\right)\\ t_5 := x \cdot \left(i \cdot -4\right) - t_2\\ \mathbf{if}\;t \leq -1.42 \cdot 10^{+222}:\\ \;\;\;\;t \cdot \left(\left(x \cdot z\right) \cdot \left(18 \cdot y\right)\right)\\ \mathbf{elif}\;t \leq -7.2 \cdot 10^{+99}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.45 \cdot 10^{-81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-280}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 3.4 \cdot 10^{-308}:\\ \;\;\;\;b \cdot c + -4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-256}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.26 \cdot 10^{-217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-119}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-35}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right) + t \cdot \left(a \cdot -4\right)\\ \end{array} \]

Alternative 4
Error	52.3%
Cost	2156

\[\begin{array}{l} t_1 := \left(j \cdot 27\right) \cdot k\\ t_2 := x \cdot \left(i \cdot -4\right) - t_1\\ t_3 := b \cdot c - t_1\\ t_4 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_5 := t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{if}\;t \leq -3.2 \cdot 10^{-86}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -1.12 \cdot 10^{-113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -2.4 \cdot 10^{-280}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-308}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-255}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-237}:\\ \;\;\;\;b \cdot c + -4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-219}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{-120}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-20}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{+49}:\\ \;\;\;\;-4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right) + t \cdot \left(a \cdot -4\right)\\ \end{array} \]

Alternative 5
Error	18.54%
Cost	2136

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := t_1 + \left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right)\\ t_3 := x \cdot \left(i \cdot -4\right)\\ t_4 := \left(b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + t_1\\ \mathbf{if}\;x \leq -9 \cdot 10^{+247}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + \left(t_3 - j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{elif}\;x \leq -7.8 \cdot 10^{-22}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right)\right) + t_3\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{-70}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2800000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+78}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+102}:\\ \;\;\;\;x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 6
Error	23.89%
Cost	2128

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ t_4 := t_1 + \left(t_3 + -27 \cdot \left(j \cdot k\right)\right)\\ \mathbf{if}\;b \cdot c \leq -5 \cdot 10^{+38}:\\ \;\;\;\;t_2 + \left(b \cdot c + t_3\right)\\ \mathbf{elif}\;b \cdot c \leq 2 \cdot 10^{-6}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \cdot c \leq 4 \cdot 10^{+80}:\\ \;\;\;\;t_2 + \left(b \cdot c + t_1\right)\\ \mathbf{elif}\;b \cdot c \leq 2 \cdot 10^{+143}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + x \cdot \left(i \cdot -4\right)\\ \end{array} \]

Alternative 7
Error	11.75%
Cost	2120

\[\begin{array}{l} t_1 := x \cdot \left(i \cdot -4\right) - j \cdot \left(27 \cdot k\right)\\ \mathbf{if}\;z \leq -20000000000:\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + t_1\\ \mathbf{elif}\;z \leq 10^{+202}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(\left(x \cdot 18\right) \cdot \left(y \cdot z\right) + a \cdot -4\right)\right) + t_1\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{+308}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;18 \cdot \left(x \cdot \left(y \cdot \left(z \cdot t\right)\right)\right)\\ \end{array} \]

Alternative 8
Error	28.51%
Cost	2008

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := t_2 + \left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right)\\ t_4 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;t \leq -1.6 \cdot 10^{+220}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{-66}:\\ \;\;\;\;t_2 + \left(b \cdot c + t_1\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-109}:\\ \;\;\;\;t_2 + \left(b \cdot c + t_4\right)\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{-36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{+53}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;t \leq 4.4 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(t_4 + -27 \cdot \left(j \cdot k\right)\right)\\ \end{array} \]

Alternative 9
Error	28.5%
Cost	2008

\[\begin{array}{l} t_1 := -4 \cdot \left(t \cdot a\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := -4 \cdot \left(x \cdot i\right)\\ \mathbf{if}\;t \leq -2.2 \cdot 10^{+221}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;t \leq -4 \cdot 10^{-67}:\\ \;\;\;\;t_2 + \left(b \cdot c + t_1\right)\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{-108}:\\ \;\;\;\;t_2 + \left(b \cdot c + t_3\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-35}:\\ \;\;\;\;t_2 + \left(b \cdot c + 18 \cdot \left(x \cdot \left(z \cdot \left(y \cdot t\right)\right)\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{+51}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{+94}:\\ \;\;\;\;t_2 + \left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(t_3 + -27 \cdot \left(j \cdot k\right)\right)\\ \end{array} \]

Alternative 10
Error	15.39%
Cost	1868

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := t_1 + \left(b \cdot c + t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\right)\\ \mathbf{if}\;t \leq -1.1 \cdot 10^{-56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{-108}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + \left(x \cdot \left(i \cdot -4\right) - j \cdot \left(27 \cdot k\right)\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{-20}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + t_1\\ \end{array} \]

Alternative 11
Error	12.2%
Cost	1865

\[\begin{array}{l} t_1 := x \cdot \left(i \cdot -4\right) - j \cdot \left(27 \cdot k\right)\\ \mathbf{if}\;y \leq -3 \cdot 10^{+47} \lor \neg \left(y \leq 1400000000000\right):\\ \;\;\;\;\left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + t_1\\ \end{array} \]

Alternative 12
Error	61.63%
Cost	1764

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{if}\;b \leq -2.95 \cdot 10^{+231}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{+170}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -4.6 \cdot 10^{+118}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;b \leq -2 \cdot 10^{+84}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;b \leq -0.315:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-10}:\\ \;\;\;\;-27 \cdot \left(j \cdot k\right)\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-197}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 13
Error	50.68%
Cost	1760

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(x \cdot i\right)\\ t_2 := -4 \cdot \left(x \cdot i + t \cdot a\right)\\ t_3 := k \cdot \left(j \cdot -27\right) + t \cdot \left(a \cdot -4\right)\\ t_4 := b \cdot c - \left(j \cdot 27\right) \cdot k\\ \mathbf{if}\;b \leq -3.4 \cdot 10^{+209}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.3 \cdot 10^{+170}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.2 \cdot 10^{+66}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -0.99:\\ \;\;\;\;b \cdot c + -4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;b \leq -4.8 \cdot 10^{-27}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.02 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.4 \cdot 10^{-295}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-166}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Error	32.29%
Cost	1753

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right) + \left(b \cdot c + -4 \cdot \left(t \cdot a\right)\right)\\ t_2 := x \cdot \left(18 \cdot \left(y \cdot \left(z \cdot t\right)\right) + i \cdot -4\right)\\ \mathbf{if}\;x \leq -3.5 \cdot 10^{+27}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 0.0185:\\ \;\;\;\;x \cdot \left(i \cdot -4\right) - \left(j \cdot 27\right) \cdot k\\ \mathbf{elif}\;x \leq 10^{+78} \lor \neg \left(x \leq 2.15 \cdot 10^{+105}\right) \land x \leq 1.3 \cdot 10^{+148}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	19.88%
Cost	1741

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ \mathbf{if}\;z \leq -7.2 \cdot 10^{-36} \lor \neg \left(z \leq 2.1 \cdot 10^{+102}\right) \land z \leq 7.5 \cdot 10^{+151}:\\ \;\;\;\;t_1 + \left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + \left(-4 \cdot \left(x \cdot i\right) + -4 \cdot \left(t \cdot a\right)\right)\right) + t_1\\ \end{array} \]

Alternative 16
Error	20.05%
Cost	1741

\[\begin{array}{l} \mathbf{if}\;z \leq -7.2 \cdot 10^{-36} \lor \neg \left(z \leq 3.8 \cdot 10^{+101}\right) \land z \leq 1.25 \cdot 10^{+151}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right) + \left(18 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) + b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + \left(x \cdot \left(i \cdot -4\right) - j \cdot \left(27 \cdot k\right)\right)\\ \end{array} \]

Alternative 17
Error	28.74%
Cost	1620

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := k \cdot \left(j \cdot -27\right)\\ t_3 := t_2 + \left(b \cdot c + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{if}\;t \leq -2.7 \cdot 10^{+219}:\\ \;\;\;\;t \cdot \left(18 \cdot t_1 + a \cdot -4\right)\\ \mathbf{elif}\;t \leq -2.4 \cdot 10^{-66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 420:\\ \;\;\;\;t_2 + \left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 6 \cdot 10^{+51}:\\ \;\;\;\;-4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{+91}:\\ \;\;\;\;t_2 + t_1 \cdot \left(18 \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Error	71.13%
Cost	1508

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ t_2 := -4 \cdot \left(x \cdot i\right)\\ t_3 := a \cdot \left(t \cdot -4\right)\\ \mathbf{if}\;t \leq -1.45 \cdot 10^{-81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -2.7 \cdot 10^{-180}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq -2.4 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-306}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-256}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 8.5 \cdot 10^{-219}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{-119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{-36}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{+27}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Error	51.86%
Cost	1501

\[\begin{array}{l} t_1 := -4 \cdot \left(x \cdot i + t \cdot a\right)\\ t_2 := b \cdot c - \left(j \cdot 27\right) \cdot k\\ \mathbf{if}\;b \leq -1.3 \cdot 10^{+209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.35 \cdot 10^{+170}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.4 \cdot 10^{+66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.4:\\ \;\;\;\;b \cdot c + -4 \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-302} \lor \neg \left(b \leq 2.3 \cdot 10^{-192}\right) \land b \leq 8.5 \cdot 10^{-76}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 20
Error	47.83%
Cost	1501

\[\begin{array}{l} t_1 := b \cdot c - \left(j \cdot 27\right) \cdot k\\ t_2 := -4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{if}\;k \leq -5.4 \cdot 10^{-74}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right)\\ \mathbf{elif}\;k \leq -1.9 \cdot 10^{-104}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -2.25 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -1.05 \cdot 10^{-174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 0.042:\\ \;\;\;\;b \cdot c + -4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;k \leq 9.5 \cdot 10^{+37} \lor \neg \left(k \leq 9.5 \cdot 10^{+75}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 21
Error	26.81%
Cost	1488

\[\begin{array}{l} t_1 := k \cdot \left(j \cdot -27\right)\\ t_2 := t_1 + \left(b \cdot c + -4 \cdot \left(t \cdot a\right)\right)\\ \mathbf{if}\;t \leq -5.2 \cdot 10^{+221}:\\ \;\;\;\;t \cdot \left(18 \cdot \left(y \cdot \left(x \cdot z\right)\right) + a \cdot -4\right)\\ \mathbf{elif}\;t \leq -4.8 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{-35}:\\ \;\;\;\;t_1 + \left(b \cdot c + -4 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{+51}:\\ \;\;\;\;\left(b \cdot c + t \cdot \left(a \cdot -4\right)\right) + x \cdot \left(i \cdot -4\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 22
Error	55.39%
Cost	1236

\[\begin{array}{l} t_1 := b \cdot c + -4 \cdot \left(t \cdot a\right)\\ \mathbf{if}\;b \leq -3.8 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(k \cdot -27\right)\\ \mathbf{elif}\;b \leq -5.8:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-302}:\\ \;\;\;\;-4 \cdot \left(x \cdot i + t \cdot a\right)\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-196}:\\ \;\;\;\;k \cdot \left(j \cdot -27\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 23
Error	69.85%
Cost	980

\[\begin{array}{l} t_1 := -27 \cdot \left(j \cdot k\right)\\ \mathbf{if}\;b \leq -4.2 \cdot 10^{+118}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;b \leq -4.8 \cdot 10^{+80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -4.2:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;b \leq -5.8 \cdot 10^{-295}:\\ \;\;\;\;-4 \cdot \left(x \cdot i\right)\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{-162}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 24
Error	68.7%
Cost	849

\[\begin{array}{l} \mathbf{if}\;b \leq -3.7 \cdot 10^{+118}:\\ \;\;\;\;b \cdot c\\ \mathbf{elif}\;b \leq -5.2 \cdot 10^{+80} \lor \neg \left(b \leq -4 \cdot 10^{-119}\right) \land b \leq 2.5 \cdot 10^{-159}:\\ \;\;\;\;-27 \cdot \left(j \cdot k\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot c\\ \end{array} \]

Alternative 25
Error	74.79%
Cost	192

\[b \cdot c \]

Reproduce

herbie shell --seed 2023102 
(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)))