Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 12.1 → 23.1

Time: 47.5s

Precision: binary64

Cost: 2268

Math

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

↓

\[\begin{array}{l} t_1 := \left(z \cdot \left(y \cdot x\right) + b \cdot \left(i \cdot a - z \cdot c\right)\right) + c \cdot \left(j \cdot t\right)\\ t_2 := j \cdot \left(c \cdot t - y \cdot i\right)\\ t_3 := t_2 + x \cdot \left(z \cdot y - t \cdot a\right)\\ t_4 := t_2 + z \cdot \left(y \cdot x - b \cdot c\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+116}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -4.300360684225763 \cdot 10^{-47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -3.1796392933928895 \cdot 10^{-233}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.6509819308273495 \cdot 10^{-267}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;j \leq 7.045895822020045 \cdot 10^{-178}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 5.083169807228723 \cdot 10^{-115}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 4.024269224684568 \cdot 10^{-44}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (+ (+ (* z (* y x)) (* b (- (* i a) (* z c)))) (* c (* j t))))
        (t_2 (* j (- (* c t) (* y i))))
        (t_3 (+ t_2 (* x (- (* z y) (* t a)))))
        (t_4 (+ t_2 (* z (- (* y x) (* b c))))))
   (if (<= j -1e+116)
     t_4
     (if (<= j -4.300360684225763e-47)
       t_3
       (if (<= j -3.1796392933928895e-233)
         t_1
         (if (<= j -1.6509819308273495e-267)
           (+ (* y (* z x)) (* a (- (* b i) (* x t))))
           (if (<= j 7.045895822020045e-178)
             t_1
             (if (<= j 5.083169807228723e-115)
               t_3
               (if (<= j 4.024269224684568e-44) t_1 t_4)))))))))

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) - (i * a)))) + (j * ((c * t) - (i * y)));
}

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = ((z * (y * x)) + (b * ((i * a) - (z * c)))) + (c * (j * t));
	double t_2 = j * ((c * t) - (y * i));
	double t_3 = t_2 + (x * ((z * y) - (t * a)));
	double t_4 = t_2 + (z * ((y * x) - (b * c)));
	double tmp;
	if (j <= -1e+116) {
		tmp = t_4;
	} else if (j <= -4.300360684225763e-47) {
		tmp = t_3;
	} else if (j <= -3.1796392933928895e-233) {
		tmp = t_1;
	} else if (j <= -1.6509819308273495e-267) {
		tmp = (y * (z * x)) + (a * ((b * i) - (x * t)));
	} else if (j <= 7.045895822020045e-178) {
		tmp = t_1;
	} else if (j <= 5.083169807228723e-115) {
		tmp = t_3;
	} else if (j <= 4.024269224684568e-44) {
		tmp = t_1;
	} else {
		tmp = t_4;
	}
	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) - (i * a)))) + (j * ((c * t) - (i * y)))
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) :: t_4
    real(8) :: tmp
    t_1 = ((z * (y * x)) + (b * ((i * a) - (z * c)))) + (c * (j * t))
    t_2 = j * ((c * t) - (y * i))
    t_3 = t_2 + (x * ((z * y) - (t * a)))
    t_4 = t_2 + (z * ((y * x) - (b * c)))
    if (j <= (-1d+116)) then
        tmp = t_4
    else if (j <= (-4.300360684225763d-47)) then
        tmp = t_3
    else if (j <= (-3.1796392933928895d-233)) then
        tmp = t_1
    else if (j <= (-1.6509819308273495d-267)) then
        tmp = (y * (z * x)) + (a * ((b * i) - (x * t)))
    else if (j <= 7.045895822020045d-178) then
        tmp = t_1
    else if (j <= 5.083169807228723d-115) then
        tmp = t_3
    else if (j <= 4.024269224684568d-44) then
        tmp = t_1
    else
        tmp = t_4
    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) - (i * a)))) + (j * ((c * t) - (i * y)));
}

↓

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 = ((z * (y * x)) + (b * ((i * a) - (z * c)))) + (c * (j * t));
	double t_2 = j * ((c * t) - (y * i));
	double t_3 = t_2 + (x * ((z * y) - (t * a)));
	double t_4 = t_2 + (z * ((y * x) - (b * c)));
	double tmp;
	if (j <= -1e+116) {
		tmp = t_4;
	} else if (j <= -4.300360684225763e-47) {
		tmp = t_3;
	} else if (j <= -3.1796392933928895e-233) {
		tmp = t_1;
	} else if (j <= -1.6509819308273495e-267) {
		tmp = (y * (z * x)) + (a * ((b * i) - (x * t)));
	} else if (j <= 7.045895822020045e-178) {
		tmp = t_1;
	} else if (j <= 5.083169807228723e-115) {
		tmp = t_3;
	} else if (j <= 4.024269224684568e-44) {
		tmp = t_1;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

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

↓

def code(x, y, z, t, a, b, c, i, j):
	t_1 = ((z * (y * x)) + (b * ((i * a) - (z * c)))) + (c * (j * t))
	t_2 = j * ((c * t) - (y * i))
	t_3 = t_2 + (x * ((z * y) - (t * a)))
	t_4 = t_2 + (z * ((y * x) - (b * c)))
	tmp = 0
	if j <= -1e+116:
		tmp = t_4
	elif j <= -4.300360684225763e-47:
		tmp = t_3
	elif j <= -3.1796392933928895e-233:
		tmp = t_1
	elif j <= -1.6509819308273495e-267:
		tmp = (y * (z * x)) + (a * ((b * i) - (x * t)))
	elif j <= 7.045895822020045e-178:
		tmp = t_1
	elif j <= 5.083169807228723e-115:
		tmp = t_3
	elif j <= 4.024269224684568e-44:
		tmp = t_1
	else:
		tmp = t_4
	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(i * a)))) + Float64(j * Float64(Float64(c * t) - Float64(i * y))))
end

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(Float64(z * Float64(y * x)) + Float64(b * Float64(Float64(i * a) - Float64(z * c)))) + Float64(c * Float64(j * t)))
	t_2 = Float64(j * Float64(Float64(c * t) - Float64(y * i)))
	t_3 = Float64(t_2 + Float64(x * Float64(Float64(z * y) - Float64(t * a))))
	t_4 = Float64(t_2 + Float64(z * Float64(Float64(y * x) - Float64(b * c))))
	tmp = 0.0
	if (j <= -1e+116)
		tmp = t_4;
	elseif (j <= -4.300360684225763e-47)
		tmp = t_3;
	elseif (j <= -3.1796392933928895e-233)
		tmp = t_1;
	elseif (j <= -1.6509819308273495e-267)
		tmp = Float64(Float64(y * Float64(z * x)) + Float64(a * Float64(Float64(b * i) - Float64(x * t))));
	elseif (j <= 7.045895822020045e-178)
		tmp = t_1;
	elseif (j <= 5.083169807228723e-115)
		tmp = t_3;
	elseif (j <= 4.024269224684568e-44)
		tmp = t_1;
	else
		tmp = t_4;
	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) - (i * a)))) + (j * ((c * t) - (i * y)));
end

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = ((z * (y * x)) + (b * ((i * a) - (z * c)))) + (c * (j * t));
	t_2 = j * ((c * t) - (y * i));
	t_3 = t_2 + (x * ((z * y) - (t * a)));
	t_4 = t_2 + (z * ((y * x) - (b * c)));
	tmp = 0.0;
	if (j <= -1e+116)
		tmp = t_4;
	elseif (j <= -4.300360684225763e-47)
		tmp = t_3;
	elseif (j <= -3.1796392933928895e-233)
		tmp = t_1;
	elseif (j <= -1.6509819308273495e-267)
		tmp = (y * (z * x)) + (a * ((b * i) - (x * t)));
	elseif (j <= 7.045895822020045e-178)
		tmp = t_1;
	elseif (j <= 5.083169807228723e-115)
		tmp = t_3;
	elseif (j <= 4.024269224684568e-44)
		tmp = t_1;
	else
		tmp = t_4;
	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[(i * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(c * t), $MachinePrecision] - N[(i * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(N[(N[(z * N[(y * x), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(i * a), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(j * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(c * t), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t$95$2 + N[(x * N[(N[(z * y), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t$95$2 + N[(z * N[(N[(y * x), $MachinePrecision] - N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1e+116], t$95$4, If[LessEqual[j, -4.300360684225763e-47], t$95$3, If[LessEqual[j, -3.1796392933928895e-233], t$95$1, If[LessEqual[j, -1.6509819308273495e-267], N[(N[(y * N[(z * x), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(b * i), $MachinePrecision] - N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 7.045895822020045e-178], t$95$1, If[LessEqual[j, 5.083169807228723e-115], t$95$3, If[LessEqual[j, 4.024269224684568e-44], t$95$1, t$95$4]]]]]]]]]]]

Target

Original	12.1
Target	16.3
Herbie	23.1

\[\begin{array}{l} \mathbf{if}\;t < -8.120978919195912 \cdot 10^{-33}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \mathbf{elif}\;t < -4.712553818218485 \cdot 10^{-169}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \frac{j \cdot \left({\left(c \cdot t\right)}^{2} - {\left(i \cdot y\right)}^{2}\right)}{c \cdot t + i \cdot y}\\ \mathbf{elif}\;t < -7.633533346031584 \cdot 10^{-308}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \mathbf{elif}\;t < 1.0535888557455487 \cdot 10^{-139}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \frac{j \cdot \left({\left(c \cdot t\right)}^{2} - {\left(i \cdot y\right)}^{2}\right)}{c \cdot t + i \cdot y}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \end{array} \]

Derivation

1. Split input into 4 regimes

2. if j < -1.00000000000000002e116 or 4.02426922468456824e-44 < j

   1. Initial program 7.4

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

   2. Taylor expanded in y around inf 13.8

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

   3. Simplified 13.2

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

   4. Taylor expanded in z around inf 18.3

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

   5. Simplified 18.3

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

   if -1.00000000000000002e116 < j < -4.30036068422576296e-47 or 7.0458958220200452e-178 < j < 5.0831698072287231e-115

   1. Initial program 11.2

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

   2. Simplified 11.1

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

   3. Taylor expanded in b around 0 26.9

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

   if -4.30036068422576296e-47 < j < -3.1796392933928895e-233 or -1.65098193082734954e-267 < j < 7.0458958220200452e-178 or 5.0831698072287231e-115 < j < 4.02426922468456824e-44

   1. Initial program 15.4

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

   2. Taylor expanded in y around inf 24.9

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

   3. Simplified 25.1

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

   4. Taylor expanded in c around inf 24.7

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

   if -3.1796392933928895e-233 < j < -1.65098193082734954e-267

   1. Initial program 23.0

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

   2. Simplified 23.0

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

   3. Taylor expanded in j around 0 23.0

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

   4. Taylor expanded in i around inf 31.2

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

   5. Taylor expanded in a around 0 28.2

      \[\leadsto \color{blue}{a \cdot \left(i \cdot b + -1 \cdot \left(t \cdot x\right)\right) + y \cdot \left(z \cdot x\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 23.1

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1 \cdot 10^{+116}:\\ \;\;\;\;j \cdot \left(c \cdot t - y \cdot i\right) + z \cdot \left(y \cdot x - b \cdot c\right)\\ \mathbf{elif}\;j \leq -4.300360684225763 \cdot 10^{-47}:\\ \;\;\;\;j \cdot \left(c \cdot t - y \cdot i\right) + x \cdot \left(z \cdot y - t \cdot a\right)\\ \mathbf{elif}\;j \leq -3.1796392933928895 \cdot 10^{-233}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) + b \cdot \left(i \cdot a - z \cdot c\right)\right) + c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;j \leq -1.6509819308273495 \cdot 10^{-267}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;j \leq 7.045895822020045 \cdot 10^{-178}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) + b \cdot \left(i \cdot a - z \cdot c\right)\right) + c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;j \leq 5.083169807228723 \cdot 10^{-115}:\\ \;\;\;\;j \cdot \left(c \cdot t - y \cdot i\right) + x \cdot \left(z \cdot y - t \cdot a\right)\\ \mathbf{elif}\;j \leq 4.024269224684568 \cdot 10^{-44}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) + b \cdot \left(i \cdot a - z \cdot c\right)\right) + c \cdot \left(j \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(c \cdot t - y \cdot i\right) + z \cdot \left(y \cdot x - b \cdot c\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	35.7
Cost	3072

\[\begin{array}{l} t_1 := c \cdot \left(j \cdot t - z \cdot b\right)\\ t_2 := y \cdot \left(z \cdot x - j \cdot i\right)\\ t_3 := a \cdot \left(b \cdot i\right)\\ t_4 := j \cdot \left(c \cdot t - y \cdot i\right)\\ t_5 := t_4 + t_3\\ t_6 := t_4 - a \cdot \left(x \cdot t\right)\\ t_7 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;y \leq -2.3 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -3.2963118952662763 \cdot 10^{-28}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -5.708615291890588 \cdot 10^{-47}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + t_3\\ \mathbf{elif}\;y \leq -1.0079158979189261 \cdot 10^{-132}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -8.711673332640887 \cdot 10^{-177}:\\ \;\;\;\;b \cdot \left(i \cdot a - z \cdot c\right)\\ \mathbf{elif}\;y \leq -1.4322666036297763 \cdot 10^{-207}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -2.6202616828675658 \cdot 10^{-236}:\\ \;\;\;\;x \cdot \left(z \cdot y - t \cdot a\right)\\ \mathbf{elif}\;y \leq -1.52503989054939 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3.872169858909152 \cdot 10^{-268}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 1.131452601514805 \cdot 10^{-290}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 1.192185067120397 \cdot 10^{-205}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 1.2093030076934192 \cdot 10^{-72}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq 2.6540788699604 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{+25}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{+84}:\\ \;\;\;\;z \cdot \left(y \cdot x - b \cdot c\right)\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{+110}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 2
Error	35.6
Cost	2676

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot t - y \cdot i\right)\\ t_2 := t_1 - a \cdot \left(x \cdot t\right)\\ t_3 := z \cdot \left(y \cdot x - b \cdot c\right)\\ t_4 := i \cdot \left(b \cdot a - j \cdot y\right)\\ t_5 := y \cdot \left(z \cdot x\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_6 := t_1 + a \cdot \left(b \cdot i\right)\\ \mathbf{if}\;z \leq -9.8 \cdot 10^{+98}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4 \cdot 10^{+37}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -5.28354006493687 \cdot 10^{+28}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.39182925143432 \cdot 10^{+21}:\\ \;\;\;\;t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{elif}\;z \leq -5.288406156393752 \cdot 10^{-60}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -4.011467360649006 \cdot 10^{-82}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -2.281833628257305 \cdot 10^{-117}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.8537161488444119 \cdot 10^{-143}:\\ \;\;\;\;c \cdot \left(j \cdot t - z \cdot b\right)\\ \mathbf{elif}\;z \leq -2.3255111577047873 \cdot 10^{-252}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.326133169898183 \cdot 10^{-74}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.652556292707463 \cdot 10^{-20}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.36744416417744 \cdot 10^{+27}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{+125}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 3
Error	23.3
Cost	2136

\[\begin{array}{l} t_1 := \left(z \cdot \left(y \cdot x\right) + b \cdot \left(i \cdot a - z \cdot c\right)\right) + c \cdot \left(j \cdot t\right)\\ t_2 := j \cdot \left(c \cdot t - y \cdot i\right)\\ t_3 := t_2 + z \cdot \left(y \cdot x - b \cdot c\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+130}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1 \cdot 10^{+26}:\\ \;\;\;\;t_2 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;j \leq -8.516471525243319 \cdot 10^{-63}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -3.1796392933928895 \cdot 10^{-233}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.6509819308273495 \cdot 10^{-267}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;j \leq 4.024269224684568 \cdot 10^{-44}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 4
Error	48.9
Cost	2028

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_3 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_4 := b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -3.563659315282616 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;t \leq -2.038272583474239 \cdot 10^{-75}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -3.007860446911381 \cdot 10^{-120}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -3.0272322467340635 \cdot 10^{-186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.1086474148688953 \cdot 10^{-160}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 9.588256379625213 \cdot 10^{-42}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2235.4926891513746:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+60}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+104}:\\ \;\;\;\;t \cdot \left(j \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Error	51.1
Cost	1968

\[\begin{array}{l} t_1 := t \cdot \left(j \cdot c\right)\\ t_2 := y \cdot \left(z \cdot x\right)\\ t_3 := a \cdot \left(-x \cdot t\right)\\ \mathbf{if}\;z \leq -1.02 \cdot 10^{+73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5.113397568071731 \cdot 10^{-45}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;z \leq -2.869936748996547 \cdot 10^{-80}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.7639512698693743 \cdot 10^{-119}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.5636233521474927 \cdot 10^{-134}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.1517405424423422 \cdot 10^{-156}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;z \leq -5.116784191172236 \cdot 10^{-210}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.3255111577047873 \cdot 10^{-252}:\\ \;\;\;\;i \cdot \left(b \cdot a\right)\\ \mathbf{elif}\;z \leq -4.6702246718606864 \cdot 10^{-265}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.0581257612376327 \cdot 10^{-219}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.028674242894104 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;z \leq 1.009934002820024 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 6
Error	38.6
Cost	1896

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := \left(j \cdot y\right) \cdot \left(-i\right)\\ t_3 := b \cdot \left(i \cdot a - z \cdot c\right)\\ t_4 := z \cdot \left(y \cdot x - b \cdot c\right)\\ \mathbf{if}\;z \leq -997419628858079200:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -5.288406156393752 \cdot 10^{-60}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.835919598754578 \cdot 10^{-117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.8537161488444119 \cdot 10^{-143}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;z \leq -8.784288085046407 \cdot 10^{-160}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.697229669426942 \cdot 10^{-215}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.596352514789637 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.9465050172863078 \cdot 10^{-146}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.864161374462422 \cdot 10^{-90}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.0609629369241738 \cdot 10^{-39}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Error	40.3
Cost	1764

\[\begin{array}{l} t_1 := b \cdot \left(i \cdot a - z \cdot c\right)\\ t_2 := z \cdot \left(y \cdot x - b \cdot c\right)\\ t_3 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;t \leq -8 \cdot 10^{+99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -6.597489644161365 \cdot 10^{-10}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.563659315282616 \cdot 10^{-41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -6.197738454657767 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -7.284019229595127 \cdot 10^{-115}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.1086474148688953 \cdot 10^{-160}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+60}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 8
Error	36.2
Cost	1752

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - j \cdot i\right)\\ t_2 := j \cdot \left(c \cdot t - y \cdot i\right) + a \cdot \left(b \cdot i\right)\\ t_3 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;t \leq -8 \cdot 10^{+99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.145419093936696 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.579514452735618 \cdot 10^{-77}:\\ \;\;\;\;c \cdot \left(j \cdot t - z \cdot b\right)\\ \mathbf{elif}\;t \leq -3.0272322467340635 \cdot 10^{-186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.8466112785293214 \cdot 10^{-108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+60}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 9
Error	50.9
Cost	1704

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := c \cdot \left(b \cdot \left(-z\right)\right)\\ t_3 := a \cdot \left(-x \cdot t\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -3.563659315282616 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;t \leq -1.579514452735618 \cdot 10^{-77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.3959611237948167 \cdot 10^{-130}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;t \leq -1.3644216852077735 \cdot 10^{-185}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;\left(j \cdot y\right) \cdot \left(-i\right)\\ \mathbf{elif}\;t \leq 4.594077803963663:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{+23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+104}:\\ \;\;\;\;t \cdot \left(j \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Error	47.6
Cost	1632

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot t\right)\\ t_2 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_3 := b \cdot \left(i \cdot a - z \cdot c\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.563659315282616 \cdot 10^{-41}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -6.197738454657767 \cdot 10^{-85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -2.185534864556599 \cdot 10^{-112}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -3.0272322467340635 \cdot 10^{-186}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;\left(j \cdot y\right) \cdot \left(-i\right)\\ \mathbf{elif}\;t \leq 2.25 \cdot 10^{+33}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Error	38.7
Cost	1632

\[\begin{array}{l} t_1 := b \cdot \left(i \cdot a - z \cdot c\right)\\ t_2 := y \cdot \left(z \cdot x - j \cdot i\right)\\ t_3 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;t \leq -8 \cdot 10^{+99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -34539883501474810:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.563659315282616 \cdot 10^{-41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -6.197738454657767 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.185534864556599 \cdot 10^{-112}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;t \leq -1.0741390593084602 \cdot 10^{-160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+60}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 12
Error	51.0
Cost	1572

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot \left(-c\right)\right)\\ t_2 := a \cdot \left(-x \cdot t\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.563659315282616 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;t \leq -4.258937198060099 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.3959611237948167 \cdot 10^{-130}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;t \leq -1.3644216852077735 \cdot 10^{-185}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;\left(j \cdot y\right) \cdot \left(-i\right)\\ \mathbf{elif}\;t \leq 2.25 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+104}:\\ \;\;\;\;t \cdot \left(j \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 13
Error	38.7
Cost	1500

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - j \cdot i\right)\\ t_2 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;t \leq -8 \cdot 10^{+99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -5.145419093936696 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -4.230172581166755 \cdot 10^{-143}:\\ \;\;\;\;c \cdot \left(j \cdot t - z \cdot b\right)\\ \mathbf{elif}\;t \leq -1.3644216852077735 \cdot 10^{-185}:\\ \;\;\;\;i \cdot \left(b \cdot a - j \cdot y\right)\\ \mathbf{elif}\;t \leq -1.4914154690751199 \cdot 10^{-204}:\\ \;\;\;\;x \cdot \left(z \cdot y - t \cdot a\right)\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+60}:\\ \;\;\;\;b \cdot \left(i \cdot a - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Error	26.1
Cost	1480

\[\begin{array}{l} t_1 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;t \leq -1.8 \cdot 10^{+131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{+104}:\\ \;\;\;\;j \cdot \left(c \cdot t - y \cdot i\right) + z \cdot \left(y \cdot x - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 15
Error	50.8
Cost	1440

\[\begin{array}{l} t_1 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_2 := a \cdot \left(-x \cdot t\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.0027936823667398 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;t \leq -6.197738454657767 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -1.3959611237948167 \cdot 10^{-130}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;t \leq -1.3644216852077735 \cdot 10^{-185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{elif}\;t \leq 2235.4926891513746:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+104}:\\ \;\;\;\;t \cdot \left(j \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Error	50.8
Cost	1440

\[\begin{array}{l} t_1 := a \cdot \left(-x \cdot t\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.0027936823667398 \cdot 10^{-46}:\\ \;\;\;\;j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;t \leq -6.197738454657767 \cdot 10^{-85}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -1.3959611237948167 \cdot 10^{-130}:\\ \;\;\;\;c \cdot \left(j \cdot t\right)\\ \mathbf{elif}\;t \leq -1.3644216852077735 \cdot 10^{-185}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 1.8280351150366707 \cdot 10^{-286}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{elif}\;t \leq 2235.4926891513746:\\ \;\;\;\;\left(j \cdot y\right) \cdot \left(-i\right)\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+104}:\\ \;\;\;\;t \cdot \left(j \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Error	38.6
Cost	1236

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - j \cdot i\right)\\ t_2 := t \cdot \left(j \cdot c - x \cdot a\right)\\ \mathbf{if}\;t \leq -8 \cdot 10^{+99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -5.145419093936696 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.0741390593084602 \cdot 10^{-160}:\\ \;\;\;\;c \cdot \left(j \cdot t - z \cdot b\right)\\ \mathbf{elif}\;t \leq 2.42354844247735 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+60}:\\ \;\;\;\;b \cdot \left(i \cdot a - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 18
Error	49.7
Cost	1112

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := c \cdot \left(j \cdot t\right)\\ \mathbf{if}\;c \leq -4.8 \cdot 10^{+114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -5.372316146445812 \cdot 10^{-143}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.6706269114540024 \cdot 10^{-229}:\\ \;\;\;\;b \cdot \left(i \cdot a\right)\\ \mathbf{elif}\;c \leq 5.735873701556858 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.1199929415888831 \cdot 10^{-159}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;c \leq 1.05 \cdot 10^{+34}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 19
Error	49.7
Cost	1112

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := c \cdot \left(j \cdot t\right)\\ t_3 := i \cdot \left(b \cdot a\right)\\ \mathbf{if}\;i \leq -9.2 \cdot 10^{+26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.810121646118178 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.0639234501622011 \cdot 10^{-300}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.926197262633131 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 5.503465461952706 \cdot 10^{-143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.8 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	49.8
Cost	848

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ \mathbf{if}\;y \leq -0.42122611341076854:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.9565260389008482 \cdot 10^{-209}:\\ \;\;\;\;b \cdot \left(i \cdot a\right)\\ \mathbf{elif}\;y \leq -8.840858795956246 \cdot 10^{-249}:\\ \;\;\;\;x \cdot \left(z \cdot y\right)\\ \mathbf{elif}\;y \leq 4.094393706342666 \cdot 10^{-67}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 21
Error	49.6
Cost	584

\[\begin{array}{l} t_1 := b \cdot \left(i \cdot a\right)\\ \mathbf{if}\;b \leq -2.940340490758345 \cdot 10^{-30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 9 \cdot 10^{+45}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 22
Error	53.4
Cost	320

\[y \cdot \left(z \cdot x\right) \]

Reproduce

herbie shell --seed 2022228 
(FPCore (x y z t a b c i j)
  :name "Linear.Matrix:det33 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< t -8.120978919195912e-33) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j))) (if (< t -4.712553818218485e-169) (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (/ (* j (- (pow (* c t) 2.0) (pow (* i y) 2.0))) (+ (* c t) (* i y)))) (if (< t -7.633533346031584e-308) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j))) (if (< t 1.0535888557455487e-139) (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (/ (* j (- (pow (* c t) 2.0) (pow (* i y) 2.0))) (+ (* c t) (* i y)))) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j)))))))

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