Data.Colour.Matrix:determinant from colour-2.3.3, A

Average Accuracy: 81.1% → 92.9%

Time: 1.0min

Precision: binary64

Cost: 5704

Math

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

↓

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := \left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_3 \leq -5 \cdot 10^{+304}:\\ \;\;\;\;t_1 + \left(\left(t_2 - c \cdot \left(z \cdot b\right)\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;t_3 \leq 2 \cdot 10^{+301}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(\left(t_2 + i \cdot \left(t \cdot b\right)\right) - a \cdot \left(x \cdot t\right)\right)\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (* y (- (* x z) (* i j))))
        (t_2 (* c (* a j)))
        (t_3
         (+
          (+ (* b (- (* t i) (* z c))) (* x (- (* y z) (* t a))))
          (* j (- (* a c) (* y i))))))
   (if (<= t_3 -5e+304)
     (+ t_1 (- (- t_2 (* c (* z b))) (* t (* x a))))
     (if (<= t_3 2e+301)
       t_3
       (+ t_1 (- (+ t_2 (* i (* t b))) (* a (* x t))))))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = y * ((x * z) - (i * j));
	double t_2 = c * (a * j);
	double t_3 = ((b * ((t * i) - (z * c))) + (x * ((y * z) - (t * a)))) + (j * ((a * c) - (y * i)));
	double tmp;
	if (t_3 <= -5e+304) {
		tmp = t_1 + ((t_2 - (c * (z * b))) - (t * (x * a)));
	} else if (t_3 <= 2e+301) {
		tmp = t_3;
	} else {
		tmp = t_1 + ((t_2 + (i * (t * b))) - (a * (x * t)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j)
    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
    code = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)))
end function

↓

real(8) function code(x, y, z, t, a, b, c, i, j)
    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) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y * ((x * z) - (i * j))
    t_2 = c * (a * j)
    t_3 = ((b * ((t * i) - (z * c))) + (x * ((y * z) - (t * a)))) + (j * ((a * c) - (y * i)))
    if (t_3 <= (-5d+304)) then
        tmp = t_1 + ((t_2 - (c * (z * b))) - (t * (x * a)))
    else if (t_3 <= 2d+301) then
        tmp = t_3
    else
        tmp = t_1 + ((t_2 + (i * (t * b))) - (a * (x * t)))
    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) {
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)));
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = y * ((x * z) - (i * j));
	double t_2 = c * (a * j);
	double t_3 = ((b * ((t * i) - (z * c))) + (x * ((y * z) - (t * a)))) + (j * ((a * c) - (y * i)));
	double tmp;
	if (t_3 <= -5e+304) {
		tmp = t_1 + ((t_2 - (c * (z * b))) - (t * (x * a)));
	} else if (t_3 <= 2e+301) {
		tmp = t_3;
	} else {
		tmp = t_1 + ((t_2 + (i * (t * b))) - (a * (x * t)));
	}
	return tmp;
}

Python

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

↓

def code(x, y, z, t, a, b, c, i, j):
	t_1 = y * ((x * z) - (i * j))
	t_2 = c * (a * j)
	t_3 = ((b * ((t * i) - (z * c))) + (x * ((y * z) - (t * a)))) + (j * ((a * c) - (y * i)))
	tmp = 0
	if t_3 <= -5e+304:
		tmp = t_1 + ((t_2 - (c * (z * b))) - (t * (x * a)))
	elif t_3 <= 2e+301:
		tmp = t_3
	else:
		tmp = t_1 + ((t_2 + (i * (t * b))) - (a * (x * t)))
	return tmp

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(y * Float64(Float64(x * z) - Float64(i * j)))
	t_2 = Float64(c * Float64(a * j))
	t_3 = Float64(Float64(Float64(b * Float64(Float64(t * i) - Float64(z * c))) + Float64(x * Float64(Float64(y * z) - Float64(t * a)))) + Float64(j * Float64(Float64(a * c) - Float64(y * i))))
	tmp = 0.0
	if (t_3 <= -5e+304)
		tmp = Float64(t_1 + Float64(Float64(t_2 - Float64(c * Float64(z * b))) - Float64(t * Float64(x * a))));
	elseif (t_3 <= 2e+301)
		tmp = t_3;
	else
		tmp = Float64(t_1 + Float64(Float64(t_2 + Float64(i * Float64(t * b))) - Float64(a * Float64(x * t))));
	end
	return tmp
end

MATLAB

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

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = y * ((x * z) - (i * j));
	t_2 = c * (a * j);
	t_3 = ((b * ((t * i) - (z * c))) + (x * ((y * z) - (t * a)))) + (j * ((a * c) - (y * i)));
	tmp = 0.0;
	if (t_3 <= -5e+304)
		tmp = t_1 + ((t_2 - (c * (z * b))) - (t * (x * a)));
	elseif (t_3 <= 2e+301)
		tmp = t_3;
	else
		tmp = t_1 + ((t_2 + (i * (t * b))) - (a * (x * t)));
	end
	tmp_2 = tmp;
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(y * N[(N[(x * z), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, -5e+304], N[(t$95$1 + N[(N[(t$95$2 - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$3, 2e+301], t$95$3, N[(t$95$1 + N[(N[(t$95$2 + N[(i * N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	81.1%
Target	69.0%
Herbie	92.9%

\[\begin{array}{l} \mathbf{if}\;x < -1.469694296777705 \cdot 10^{-64}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{elif}\;x < 3.2113527362226803 \cdot 10^{-147}:\\ \;\;\;\;\left(b \cdot i - x \cdot a\right) \cdot t - \left(z \cdot \left(c \cdot b\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \end{array} \]

Derivation

1. Split input into 3 regimes

2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < -4.9999999999999997e304

   1. Initial program 4.2%

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

   2. Simplified 4.2%

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

      [Start] 4.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 4.2	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) + \left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      +-commutative [=>] 4.2	\[ \color{blue}{\left(\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l+ [=>] 4.2	\[ \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      distribute-rgt-neg-in [=>] 4.2	\[ \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      +-commutative [<=] 4.2	\[ b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right)} \]
      fma-def [=>] 4.2	\[ \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right)} \]
      sub-neg [=>] 4.2	\[ \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      +-commutative [=>] 4.2	\[ \mathsf{fma}\left(b, -\color{blue}{\left(\left(-t \cdot i\right) + c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      distribute-neg-in [=>] 4.2	\[ \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      unsub-neg [=>] 4.2	\[ \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      remove-double-neg [=>] 4.2	\[ \mathsf{fma}\left(b, \color{blue}{t \cdot i} - c \cdot z, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      *-commutative [=>] 4.2	\[ \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]

   3. Taylor expanded in y around 0 59.5%

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

   4. Applied egg-rr 51.8%

      \[\leadsto \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \color{blue}{\left(e^{\mathsf{log1p}\left(a \cdot \left(t \cdot x\right)\right)} - 1\right)} + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      Proof

      [Start] 59.5	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      expm1-log1p-u [=>] 51.8	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(a \cdot \left(t \cdot x\right)\right)\right)} + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      expm1-udef [=>] 51.8	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \color{blue}{\left(e^{\mathsf{log1p}\left(a \cdot \left(t \cdot x\right)\right)} - 1\right)} + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]

   5. Simplified 56.2%

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

      [Start] 51.8	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(e^{\mathsf{log1p}\left(a \cdot \left(t \cdot x\right)\right)} - 1\right) + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      expm1-def [=>] 51.8	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(a \cdot \left(t \cdot x\right)\right)\right)} + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      expm1-log1p [=>] 59.5	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \color{blue}{\left(a \cdot \left(t \cdot x\right)\right)} + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 59.5	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(a \cdot \color{blue}{\left(x \cdot t\right)}\right) + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*r* [=>] 56.2	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \color{blue}{\left(\left(a \cdot x\right) \cdot t\right)} + \left(\left(i \cdot t - c \cdot z\right) \cdot b + c \cdot \left(a \cdot j\right)\right)\right) \]

   6. Taylor expanded in i around 0 67.0%

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

   7. Simplified 67.0%

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

      [Start] 67.0	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(-1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      mul-1-neg [=>] 67.0	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(\color{blue}{\left(-c \cdot \left(b \cdot z\right)\right)} + c \cdot \left(a \cdot j\right)\right)\right) \]
      distribute-rgt-neg-in [=>] 67.0	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(\color{blue}{c \cdot \left(-b \cdot z\right)} + c \cdot \left(a \cdot j\right)\right)\right) \]
      distribute-rgt-neg-in [=>] 67.0	\[ \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \color{blue}{\left(b \cdot \left(-z\right)\right)} + c \cdot \left(a \cdot j\right)\right)\right) \]

   8. Taylor expanded in z around 0 67.0%

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

   9. Simplified 67.0%

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

      [Start] 67.0	\[ \left(y \cdot \left(z \cdot x\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [<=] 67.0	\[ \left(y \cdot \color{blue}{\left(x \cdot z\right)} + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [<=] 67.0	\[ \left(\color{blue}{\left(x \cdot z\right) \cdot y} + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*r* [=>] 67.0	\[ \left(\left(x \cdot z\right) \cdot y + \color{blue}{\left(-1 \cdot y\right) \cdot \left(i \cdot j\right)}\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      mul-1-neg [=>] 67.0	\[ \left(\left(x \cdot z\right) \cdot y + \color{blue}{\left(-y\right)} \cdot \left(i \cdot j\right)\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [<=] 67.0	\[ \left(\left(x \cdot z\right) \cdot y + \left(-y\right) \cdot \color{blue}{\left(j \cdot i\right)}\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      cancel-sign-sub-inv [<=] 67.0	\[ \color{blue}{\left(\left(x \cdot z\right) \cdot y - y \cdot \left(j \cdot i\right)\right)} + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 67.0	\[ \left(\color{blue}{y \cdot \left(x \cdot z\right)} - y \cdot \left(j \cdot i\right)\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      distribute-lft-out-- [=>] 67.0	\[ \color{blue}{y \cdot \left(x \cdot z - j \cdot i\right)} + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 67.0	\[ y \cdot \left(\color{blue}{z \cdot x} - j \cdot i\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 67.0	\[ y \cdot \left(z \cdot x - \color{blue}{i \cdot j}\right) + \left(-1 \cdot \left(\left(a \cdot x\right) \cdot t\right) + \left(c \cdot \left(b \cdot \left(-z\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]

   if -4.9999999999999997e304 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < 2.00000000000000011e301

   1. Initial program 98.7%

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

   if 2.00000000000000011e301 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))

   1. Initial program 9.9%

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

   2. Simplified 9.9%

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

      [Start] 9.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 9.9	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) + \left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      +-commutative [=>] 9.9	\[ \color{blue}{\left(\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l+ [=>] 9.9	\[ \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      distribute-rgt-neg-in [=>] 9.9	\[ \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      +-commutative [<=] 9.9	\[ b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right)} \]
      fma-def [=>] 9.9	\[ \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right)} \]
      sub-neg [=>] 9.9	\[ \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      +-commutative [=>] 9.9	\[ \mathsf{fma}\left(b, -\color{blue}{\left(\left(-t \cdot i\right) + c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      distribute-neg-in [=>] 9.9	\[ \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      unsub-neg [=>] 9.9	\[ \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      remove-double-neg [=>] 9.9	\[ \mathsf{fma}\left(b, \color{blue}{t \cdot i} - c \cdot z, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]
      *-commutative [=>] 9.9	\[ \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) \]

   3. Taylor expanded in y around 0 53.7%

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

   4. Taylor expanded in i around inf 70.0%

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

   5. Taylor expanded in z around 0 70.0%

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

   6. Simplified 70.0%

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

      [Start] 70.0	\[ \left(y \cdot \left(z \cdot x\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [<=] 70.0	\[ \left(y \cdot \color{blue}{\left(x \cdot z\right)} + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [<=] 70.0	\[ \left(\color{blue}{\left(x \cdot z\right) \cdot y} + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*r* [=>] 70.0	\[ \left(\left(x \cdot z\right) \cdot y + \color{blue}{\left(-1 \cdot y\right) \cdot \left(i \cdot j\right)}\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      mul-1-neg [=>] 70.0	\[ \left(\left(x \cdot z\right) \cdot y + \color{blue}{\left(-y\right)} \cdot \left(i \cdot j\right)\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [<=] 70.0	\[ \left(\left(x \cdot z\right) \cdot y + \left(-y\right) \cdot \color{blue}{\left(j \cdot i\right)}\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      cancel-sign-sub-inv [<=] 70.0	\[ \color{blue}{\left(\left(x \cdot z\right) \cdot y - y \cdot \left(j \cdot i\right)\right)} + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 70.0	\[ \left(\color{blue}{y \cdot \left(x \cdot z\right)} - y \cdot \left(j \cdot i\right)\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      distribute-lft-out-- [=>] 70.0	\[ \color{blue}{y \cdot \left(x \cdot z - j \cdot i\right)} + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 70.0	\[ y \cdot \left(\color{blue}{z \cdot x} - j \cdot i\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 70.0	\[ y \cdot \left(z \cdot x - \color{blue}{i \cdot j}\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j\right)\right)\right) \]

3. Recombined 3 regimes into one program.

4. Final simplification 92.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq -5 \cdot 10^{+304}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + \left(\left(c \cdot \left(a \cdot j\right) - c \cdot \left(z \cdot b\right)\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;\left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq 2 \cdot 10^{+301}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + \left(\left(c \cdot \left(a \cdot j\right) + i \cdot \left(t \cdot b\right)\right) - a \cdot \left(x \cdot t\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	93.0%
Cost	5705

\[\begin{array}{l} t_1 := \left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_1 \leq -\infty \lor \neg \left(t_1 \leq 2 \cdot 10^{+301}\right):\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + \left(\left(c \cdot \left(a \cdot j\right) + i \cdot \left(t \cdot b\right)\right) - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Accuracy	67.5%
Cost	3180

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_1 + t_2\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := c \cdot \left(a \cdot j\right)\\ t_6 := \left(t_5 - c \cdot \left(z \cdot b\right)\right) + t_2\\ t_7 := t_5 + i \cdot \left(t \cdot b\right)\\ t_8 := y \cdot \left(x \cdot z - i \cdot j\right) + \left(t_7 - a \cdot \left(x \cdot t\right)\right)\\ t_9 := t_1 + t_4\\ \mathbf{if}\;y \leq -1.85 \cdot 10^{+177}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+106}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) + t_4\\ \mathbf{elif}\;y \leq -120:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-130}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -5.3 \cdot 10^{-150}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) + \left(t_7 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-279}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-299}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + t_4\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-241}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{-172}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-115}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-69}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]

Alternative 3
Accuracy	45.6%
Cost	2940

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := b \cdot \left(t \cdot i\right) + t_1\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;j \leq -4.8 \cdot 10^{+34}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -145:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -3.3 \cdot 10^{-25}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_1\\ \mathbf{elif}\;j \leq -5.8 \cdot 10^{-66}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq -2.5 \cdot 10^{-120}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -2.25 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-263}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.65 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-186}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 2.35 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.3 \cdot 10^{-65}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 3.1 \cdot 10^{-48}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 1.75 \cdot 10^{-12}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-12}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 90000000:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 4
Accuracy	71.8%
Cost	2917

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y\right) + \left(\left(t_1 + t_2\right) - t \cdot \left(x \cdot a\right)\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right) + \left(\left(t_1 + i \cdot \left(t \cdot b\right)\right) - a \cdot \left(x \cdot t\right)\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;z \leq -5.8 \cdot 10^{+155}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -5.8 \cdot 10^{+33}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -6500000000:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - \left(y \cdot \left(i \cdot j\right) - t_2\right)\\ \mathbf{elif}\;z \leq -5 \cdot 10^{-61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-115}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-199}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{-116}:\\ \;\;\;\;t_2 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;z \leq 7.7 \cdot 10^{-19} \lor \neg \left(z \leq 1.62 \cdot 10^{+93}\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Accuracy	45.7%
Cost	2676

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_1\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;j \leq -2.9 \cdot 10^{+34}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) + t_1\\ \mathbf{elif}\;j \leq -170:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -3.5 \cdot 10^{-25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -4 \cdot 10^{-75}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-118}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -7.5 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -8 \cdot 10^{-265}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 1.65 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 10^{-186}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 2 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-66}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 7.6 \cdot 10^{-51}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 2.4 \cdot 10^{-30}:\\ \;\;\;\;t_4 + j \cdot \left(a \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Accuracy	41.8%
Cost	2556

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -3.9 \cdot 10^{+34}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -175:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-25}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-70}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{-118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-264}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-285}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{-184}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.25 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 9.2 \cdot 10^{-48}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{-25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 2.6 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 300000000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Accuracy	41.8%
Cost	2556

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -1.65 \cdot 10^{+35}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -135:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-25}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-120}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -5.2 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-264}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{-285}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-182}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.1 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{-49}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-11}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1000000000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 8
Accuracy	44.8%
Cost	2544

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;j \leq -2.5 \cdot 10^{+34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.8 \cdot 10^{-119}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -4.3 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -2.45 \cdot 10^{-262}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{-284}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{-180}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 9 \cdot 10^{-66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 2 \cdot 10^{-49}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{-25}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq 1.5 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 0.033:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 9
Accuracy	48.7%
Cost	2412

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right) - i \cdot \left(y \cdot j\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;j \leq -1.35 \cdot 10^{+35}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) + t_1\\ \mathbf{elif}\;j \leq -220:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.4 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-118}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;j \leq -1 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -4.9 \cdot 10^{-265}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 6.6 \cdot 10^{-286}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;j \leq 3 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-138}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.6 \cdot 10^{-133}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 5.2 \cdot 10^{-33}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_1\\ \end{array} \]

Alternative 10
Accuracy	48.7%
Cost	2412

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_2 - y \cdot \left(i \cdot j\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;j \leq -8.2 \cdot 10^{+34}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) + t_1\\ \mathbf{elif}\;j \leq -170:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -4.2 \cdot 10^{-53}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{-118}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;j \leq -1.1 \cdot 10^{-222}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.75 \cdot 10^{-264}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-286}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{-249}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-138}:\\ \;\;\;\;t_2 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 2.6 \cdot 10^{-133}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 8 \cdot 10^{-32}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_1\\ \end{array} \]

Alternative 11
Accuracy	62.8%
Cost	2404

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right) + t_1\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := t_4 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.9 \cdot 10^{-52}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -2.05 \cdot 10^{-247}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1 \cdot 10^{-290}:\\ \;\;\;\;t_4 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{-264}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 7.6 \cdot 10^{-232}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 8 \cdot 10^{-200}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-180}:\\ \;\;\;\;t_4 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-64}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 9 \cdot 10^{+84}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 12
Accuracy	62.4%
Cost	2404

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z\right) - \left(y \cdot \left(i \cdot j\right) - t_3\right)\\ t_5 := \left(c \cdot \left(a \cdot j\right) - c \cdot \left(z \cdot b\right)\right) + t_1\\ t_6 := t_3 + t_2\\ \mathbf{if}\;t \leq -3.4 \cdot 10^{+40}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + t_2\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{-11}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -4.7 \cdot 10^{-119}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{-158}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -9.2 \cdot 10^{-243}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -8.2 \cdot 10^{-289}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 3.4 \cdot 10^{-161}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) + t_2\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+58}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{+132}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_3 + t_1\\ \end{array} \]

Alternative 13
Accuracy	55.5%
Cost	2272

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := i \cdot \left(t \cdot b\right) + t_1\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right) + a \cdot \left(c \cdot j - x \cdot t\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -7 \cdot 10^{+151}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -4.3 \cdot 10^{+51}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{+22}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.45 \cdot 10^{-144}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{-271}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-116}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.32 \cdot 10^{+104}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 14
Accuracy	63.6%
Cost	2272

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := y \cdot \left(x \cdot z\right) - \left(y \cdot \left(i \cdot j\right) - t_1\right)\\ t_3 := t_1 + x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) + t_4\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right) + t_4\\ \mathbf{if}\;x \leq -4.1 \cdot 10^{-39}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-288}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.3 \cdot 10^{-263}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{-252}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-200}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-156}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{-64}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+83}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 15
Accuracy	60.8%
Cost	2008

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -2.35 \cdot 10^{+76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9.6 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -11600000000:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right) + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 5.4 \cdot 10^{+110}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Accuracy	66.2%
Cost	2008

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right) + a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) + t_2\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right) + t_2\\ \mathbf{if}\;z \leq -4.2 \cdot 10^{-18}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -5.4 \cdot 10^{-77}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.5 \cdot 10^{-125}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_2\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-262}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 7.8 \cdot 10^{-118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.1 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 17
Accuracy	36.6%
Cost	1764

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -4.3 \cdot 10^{-32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -9.2 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-294}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-234}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-25}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{+60}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+116}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Accuracy	41.7%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -3.4 \cdot 10^{+34}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.15 \cdot 10^{-120}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -4 \cdot 10^{-263}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{-286}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 8.5 \cdot 10^{-183}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.85 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{-11}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 130000000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Accuracy	33.2%
Cost	1632

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;z \leq -6.2 \cdot 10^{+134}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.52 \cdot 10^{-158}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.1 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-89}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{+114}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 20
Accuracy	28.3%
Cost	1308

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{if}\;z \leq -1 \cdot 10^{+131}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5.2 \cdot 10^{-285}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{-262}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-176}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 240:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+98}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{+138}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 21
Accuracy	40.8%
Cost	1236

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -4.1 \cdot 10^{-50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-89}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{+98}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 22
Accuracy	22.5%
Cost	1176

\[\begin{array}{l} t_1 := z \cdot \left(b \cdot \left(-c\right)\right)\\ t_2 := y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{if}\;z \leq -2.05 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2 \cdot 10^{+40}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-39}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-262}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.06 \cdot 10^{-106}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+59}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 23
Accuracy	22.4%
Cost	1176

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{if}\;z \leq -1.5 \cdot 10^{+93}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq -5 \cdot 10^{+36}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -5.2 \cdot 10^{-103}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-105}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 7.2 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 24
Accuracy	22.4%
Cost	1176

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{if}\;z \leq -1.55 \cdot 10^{+93}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq -5.4 \cdot 10^{+36}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -2.95 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-106}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 25
Accuracy	22.5%
Cost	1176

\[\begin{array}{l} \mathbf{if}\;z \leq -1.75 \cdot 10^{+93}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq -6 \cdot 10^{+39}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-106}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-262}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 1.75 \cdot 10^{-171}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{+59}:\\ \;\;\;\;\left(-i\right) \cdot \left(y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 26
Accuracy	22.9%
Cost	912

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -1.16 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.1 \cdot 10^{-109}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 27
Accuracy	21.8%
Cost	848

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;z \leq -5.8 \cdot 10^{-14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-284}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{-116}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{+113}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 28
Accuracy	23.6%
Cost	848

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{-14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-284}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-116}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{+113}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 29
Accuracy	23.7%
Cost	848

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -6.8 \cdot 10^{-14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-286}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-115}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+115}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 30
Accuracy	22.2%
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -3.8 \cdot 10^{-72}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-53}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 31
Accuracy	22.7%
Cost	584

\[\begin{array}{l} \mathbf{if}\;a \leq -6 \cdot 10^{-72}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{-63}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 32
Accuracy	17.2%
Cost	320

\[a \cdot \left(c \cdot j\right) \]

Alternative 33
Accuracy	16.9%
Cost	320

\[c \cdot \left(a \cdot j\right) \]

Reproduce

herbie shell --seed 2023142 
(FPCore (x y z t a b c i j)
  :name "Data.Colour.Matrix:determinant from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (if (< x -1.469694296777705e-64) (+ (- (* x (- (* y z) (* t a))) (/ (* b (- (pow (* c z) 2.0) (pow (* t i) 2.0))) (+ (* c z) (* t i)))) (* j (- (* c a) (* y i)))) (if (< x 3.2113527362226803e-147) (- (* (- (* b i) (* x a)) t) (- (* z (* c b)) (* j (- (* c a) (* y i))))) (+ (- (* x (- (* y z) (* t a))) (/ (* b (- (pow (* c z) 2.0) (pow (* t i) 2.0))) (+ (* c z) (* t i)))) (* j (- (* c a) (* y i))))))

  (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i)))))