Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 12.1 → 11.0

Time: 1.3min

Precision: binary64

Cost: 3032

Math

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

↓

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 - b \cdot \left(c \cdot z - i \cdot a\right)\\ t_3 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_4 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(i \cdot \left(a \cdot b\right) + \left(\left(c \cdot t - y \cdot i\right) \cdot j + t_3\right)\right)\\ t_5 := j \cdot \left(c \cdot t - i \cdot y\right)\\ t_6 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;z \leq -3.7 \cdot 10^{+29}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -3.05 \cdot 10^{-120}:\\ \;\;\;\;t_2 + t_5\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-139}:\\ \;\;\;\;y \cdot \left(z \cdot x - i \cdot j\right) + t_3\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-280}:\\ \;\;\;\;t_2 + \left(t_6 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right)\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-203}:\\ \;\;\;\;\left(t_1 - \left(-a \cdot \left(i \cdot b\right)\right)\right) + t_5\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{-135}:\\ \;\;\;\;t_6 + \left(t_3 + \left(a \cdot i - c \cdot z\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

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 (* x (- (* y z) (* t a))))
        (t_2 (- t_1 (* b (- (* c z) (* i a)))))
        (t_3 (* -1.0 (* a (* t x))))
        (t_4
         (+
          (* (+ (* y x) (* -1.0 (* c b))) z)
          (+ (* i (* a b)) (+ (* (- (* c t) (* y i)) j) t_3))))
        (t_5 (* j (- (* c t) (* i y))))
        (t_6 (* c (* t j))))
   (if (<= z -3.7e+29)
     t_4
     (if (<= z -3.05e-120)
       (+ t_2 t_5)
       (if (<= z -9e-139)
         (+ (* y (- (* z x) (* i j))) t_3)
         (if (<= z 5e-280)
           (+ t_2 (+ t_6 (* -1.0 (* i (* y j)))))
           (if (<= z 3.8e-203)
             (+ (- t_1 (- (* a (* i b)))) t_5)
             (if (<= z 2.6e-135)
               (+ t_6 (+ t_3 (* (- (* a i) (* c z)) b)))
               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 = x * ((y * z) - (t * a));
	double t_2 = t_1 - (b * ((c * z) - (i * a)));
	double t_3 = -1.0 * (a * (t * x));
	double t_4 = (((y * x) + (-1.0 * (c * b))) * z) + ((i * (a * b)) + ((((c * t) - (y * i)) * j) + t_3));
	double t_5 = j * ((c * t) - (i * y));
	double t_6 = c * (t * j);
	double tmp;
	if (z <= -3.7e+29) {
		tmp = t_4;
	} else if (z <= -3.05e-120) {
		tmp = t_2 + t_5;
	} else if (z <= -9e-139) {
		tmp = (y * ((z * x) - (i * j))) + t_3;
	} else if (z <= 5e-280) {
		tmp = t_2 + (t_6 + (-1.0 * (i * (y * j))));
	} else if (z <= 3.8e-203) {
		tmp = (t_1 - -(a * (i * b))) + t_5;
	} else if (z <= 2.6e-135) {
		tmp = t_6 + (t_3 + (((a * i) - (c * z)) * b));
	} 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) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = x * ((y * z) - (t * a))
    t_2 = t_1 - (b * ((c * z) - (i * a)))
    t_3 = (-1.0d0) * (a * (t * x))
    t_4 = (((y * x) + ((-1.0d0) * (c * b))) * z) + ((i * (a * b)) + ((((c * t) - (y * i)) * j) + t_3))
    t_5 = j * ((c * t) - (i * y))
    t_6 = c * (t * j)
    if (z <= (-3.7d+29)) then
        tmp = t_4
    else if (z <= (-3.05d-120)) then
        tmp = t_2 + t_5
    else if (z <= (-9d-139)) then
        tmp = (y * ((z * x) - (i * j))) + t_3
    else if (z <= 5d-280) then
        tmp = t_2 + (t_6 + ((-1.0d0) * (i * (y * j))))
    else if (z <= 3.8d-203) then
        tmp = (t_1 - -(a * (i * b))) + t_5
    else if (z <= 2.6d-135) then
        tmp = t_6 + (t_3 + (((a * i) - (c * z)) * b))
    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 = x * ((y * z) - (t * a));
	double t_2 = t_1 - (b * ((c * z) - (i * a)));
	double t_3 = -1.0 * (a * (t * x));
	double t_4 = (((y * x) + (-1.0 * (c * b))) * z) + ((i * (a * b)) + ((((c * t) - (y * i)) * j) + t_3));
	double t_5 = j * ((c * t) - (i * y));
	double t_6 = c * (t * j);
	double tmp;
	if (z <= -3.7e+29) {
		tmp = t_4;
	} else if (z <= -3.05e-120) {
		tmp = t_2 + t_5;
	} else if (z <= -9e-139) {
		tmp = (y * ((z * x) - (i * j))) + t_3;
	} else if (z <= 5e-280) {
		tmp = t_2 + (t_6 + (-1.0 * (i * (y * j))));
	} else if (z <= 3.8e-203) {
		tmp = (t_1 - -(a * (i * b))) + t_5;
	} else if (z <= 2.6e-135) {
		tmp = t_6 + (t_3 + (((a * i) - (c * z)) * b));
	} 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 = x * ((y * z) - (t * a))
	t_2 = t_1 - (b * ((c * z) - (i * a)))
	t_3 = -1.0 * (a * (t * x))
	t_4 = (((y * x) + (-1.0 * (c * b))) * z) + ((i * (a * b)) + ((((c * t) - (y * i)) * j) + t_3))
	t_5 = j * ((c * t) - (i * y))
	t_6 = c * (t * j)
	tmp = 0
	if z <= -3.7e+29:
		tmp = t_4
	elif z <= -3.05e-120:
		tmp = t_2 + t_5
	elif z <= -9e-139:
		tmp = (y * ((z * x) - (i * j))) + t_3
	elif z <= 5e-280:
		tmp = t_2 + (t_6 + (-1.0 * (i * (y * j))))
	elif z <= 3.8e-203:
		tmp = (t_1 - -(a * (i * b))) + t_5
	elif z <= 2.6e-135:
		tmp = t_6 + (t_3 + (((a * i) - (c * z)) * b))
	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(x * Float64(Float64(y * z) - Float64(t * a)))
	t_2 = Float64(t_1 - Float64(b * Float64(Float64(c * z) - Float64(i * a))))
	t_3 = Float64(-1.0 * Float64(a * Float64(t * x)))
	t_4 = Float64(Float64(Float64(Float64(y * x) + Float64(-1.0 * Float64(c * b))) * z) + Float64(Float64(i * Float64(a * b)) + Float64(Float64(Float64(Float64(c * t) - Float64(y * i)) * j) + t_3)))
	t_5 = Float64(j * Float64(Float64(c * t) - Float64(i * y)))
	t_6 = Float64(c * Float64(t * j))
	tmp = 0.0
	if (z <= -3.7e+29)
		tmp = t_4;
	elseif (z <= -3.05e-120)
		tmp = Float64(t_2 + t_5);
	elseif (z <= -9e-139)
		tmp = Float64(Float64(y * Float64(Float64(z * x) - Float64(i * j))) + t_3);
	elseif (z <= 5e-280)
		tmp = Float64(t_2 + Float64(t_6 + Float64(-1.0 * Float64(i * Float64(y * j)))));
	elseif (z <= 3.8e-203)
		tmp = Float64(Float64(t_1 - Float64(-Float64(a * Float64(i * b)))) + t_5);
	elseif (z <= 2.6e-135)
		tmp = Float64(t_6 + Float64(t_3 + Float64(Float64(Float64(a * i) - Float64(c * z)) * b)));
	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 = x * ((y * z) - (t * a));
	t_2 = t_1 - (b * ((c * z) - (i * a)));
	t_3 = -1.0 * (a * (t * x));
	t_4 = (((y * x) + (-1.0 * (c * b))) * z) + ((i * (a * b)) + ((((c * t) - (y * i)) * j) + t_3));
	t_5 = j * ((c * t) - (i * y));
	t_6 = c * (t * j);
	tmp = 0.0;
	if (z <= -3.7e+29)
		tmp = t_4;
	elseif (z <= -3.05e-120)
		tmp = t_2 + t_5;
	elseif (z <= -9e-139)
		tmp = (y * ((z * x) - (i * j))) + t_3;
	elseif (z <= 5e-280)
		tmp = t_2 + (t_6 + (-1.0 * (i * (y * j))));
	elseif (z <= 3.8e-203)
		tmp = (t_1 - -(a * (i * b))) + t_5;
	elseif (z <= 2.6e-135)
		tmp = t_6 + (t_3 + (((a * i) - (c * z)) * b));
	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[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t$95$1 - N[(b * N[(N[(c * z), $MachinePrecision] - N[(i * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(-1.0 * N[(a * N[(t * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(N[(N[(y * x), $MachinePrecision] + N[(-1.0 * N[(c * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * z), $MachinePrecision] + N[(N[(i * N[(a * b), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(N[(c * t), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision] * j), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(j * N[(N[(c * t), $MachinePrecision] - N[(i * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(c * N[(t * j), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -3.7e+29], t$95$4, If[LessEqual[z, -3.05e-120], N[(t$95$2 + t$95$5), $MachinePrecision], If[LessEqual[z, -9e-139], N[(N[(y * N[(N[(z * x), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision], If[LessEqual[z, 5e-280], N[(t$95$2 + N[(t$95$6 + N[(-1.0 * N[(i * N[(y * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 3.8e-203], N[(N[(t$95$1 - (-N[(a * N[(i * b), $MachinePrecision]), $MachinePrecision])), $MachinePrecision] + t$95$5), $MachinePrecision], If[LessEqual[z, 2.6e-135], N[(t$95$6 + N[(t$95$3 + N[(N[(N[(a * i), $MachinePrecision] - N[(c * z), $MachinePrecision]), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]

Target

Original	12.1
Target	15.8
Herbie	11.0

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

Derivation

1. Split input into 6 regimes

2. if z < -3.69999999999999974e29 or 2.60000000000000004e-135 < z

   1. Initial program 14.9

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

   2. Simplified 14.9

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

   3. Taylor expanded in z around 0 9.4

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

   if -3.69999999999999974e29 < z < -3.05e-120

   1. Initial program 8.8

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

   if -3.05e-120 < z < -9.00000000000000046e-139

   1. Initial program 10.4

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

   2. Simplified 10.4

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

   3. Taylor expanded in b around 0 22.9

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

   4. Taylor expanded in c around 0 36.5

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

   5. Simplified 36.5

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

   6. Taylor expanded in y around 0 34.2

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

   if -9.00000000000000046e-139 < z < 5.00000000000000028e-280

   1. Initial program 10.5

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

   2. Taylor expanded in i around inf 9.9

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

   if 5.00000000000000028e-280 < z < 3.80000000000000025e-203

   1. Initial program 8.6

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

   2. Taylor expanded in c around 0 13.2

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

   3. Simplified 13.2

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

   if 3.80000000000000025e-203 < z < 2.60000000000000004e-135

   1. Initial program 8.0

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

   2. Simplified 8.0

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

   3. Taylor expanded in y around 0 22.2

      \[\leadsto \color{blue}{c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(a \cdot i - c \cdot z\right) \cdot b\right)} \]
3. Recombined 6 regimes into one program.

Alternatives

Alternative 1
Error	7.2
Cost	5896

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - i \cdot j\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(c \cdot t - i \cdot y\right)\\ t_4 := \left(t_2 - b \cdot \left(c \cdot z - i \cdot a\right)\right) + t_3\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{+302}:\\ \;\;\;\;\left(t_2 - \left(b \cdot \left(c \cdot z\right) + \left(-\left(i \cdot a\right) \cdot b\right)\right)\right) + t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Error	7.2
Cost	5704

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

Alternative 3
Error	23.3
Cost	3320

\[\begin{array}{l} t_1 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := y \cdot \left(z \cdot x\right)\\ t_3 := \left(a \cdot i - c \cdot z\right) \cdot b\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_6 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_5\\ t_7 := -1 \cdot \left(c \cdot \left(z \cdot b\right)\right)\\ t_8 := -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\\ t_9 := t_4 + \left(t_1 + t_7\right)\\ t_10 := i \cdot \left(a \cdot b\right)\\ t_11 := t_10 + \left(t_1 + t_8\right)\\ t_12 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_13 := t_4 + \left(t_12 + t_3\right)\\ t_14 := t_5 + \left(t_12 + t_2\right)\\ \mathbf{if}\;i \leq -2 \cdot 10^{+128}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;i \leq -1.55 \cdot 10^{+22}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-14}:\\ \;\;\;\;t_8 + \left(t_2 + t_3\right)\\ \mathbf{elif}\;i \leq -7 \cdot 10^{-54}:\\ \;\;\;\;t_14\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-71}:\\ \;\;\;\;t_4 + \left(\left(-a \cdot t\right) \cdot x + t_7\right)\\ \mathbf{elif}\;i \leq -4.2 \cdot 10^{-201}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-241}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.9 \cdot 10^{-263}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;i \leq -6.2 \cdot 10^{-290}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 2 \cdot 10^{-268}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 2.75 \cdot 10^{-210}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(-a \cdot \left(i \cdot b\right)\right)\right) + t_4\\ \mathbf{elif}\;i \leq 2.36 \cdot 10^{-166}:\\ \;\;\;\;t_14\\ \mathbf{elif}\;i \leq 1.16 \cdot 10^{-79}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 4.5 \cdot 10^{+143}:\\ \;\;\;\;\left(c \cdot t - i \cdot y\right) \cdot j + \left(t_10 + t_2\right)\\ \mathbf{else}:\\ \;\;\;\;t_11\\ \end{array} \]

Alternative 4
Error	23.4
Cost	3188

\[\begin{array}{l} t_1 := \left(a \cdot i - c \cdot z\right) \cdot b\\ t_2 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_3 := -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\\ t_4 := i \cdot \left(a \cdot b\right)\\ t_5 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_6 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_2\\ t_7 := y \cdot \left(z \cdot x\right)\\ t_8 := t_4 + \left(t_5 + t_3\right)\\ t_9 := c \cdot \left(t \cdot j\right)\\ t_10 := t_9 + \left(t_5 + -1 \cdot \left(c \cdot \left(z \cdot b\right)\right)\right)\\ t_11 := a \cdot \left(t \cdot x\right)\\ \mathbf{if}\;i \leq -6 \cdot 10^{+125}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;i \leq -8 \cdot 10^{+19}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -2 \cdot 10^{-15}:\\ \;\;\;\;t_3 + \left(t_7 + t_1\right)\\ \mathbf{elif}\;i \leq -2.8 \cdot 10^{-71}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;i \leq -7 \cdot 10^{-72}:\\ \;\;\;\;t_9 + t_3\\ \mathbf{elif}\;i \leq -6.4 \cdot 10^{-201}:\\ \;\;\;\;t_9 + \left(-1 \cdot t_11 + t_1\right)\\ \mathbf{elif}\;i \leq -1.45 \cdot 10^{-240}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.22 \cdot 10^{-290}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;i \leq 1.25 \cdot 10^{-268}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 1.22 \cdot 10^{-191}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(-a \cdot \left(i \cdot b\right)\right)\right) + t_9\\ \mathbf{elif}\;i \leq 7.5 \cdot 10^{-167}:\\ \;\;\;\;t_2 + \left(-t_11\right)\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{-80}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;i \leq 4.7 \cdot 10^{+145}:\\ \;\;\;\;\left(c \cdot t - i \cdot y\right) \cdot j + \left(t_4 + t_7\right)\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]

Alternative 5
Error	22.7
Cost	3056

\[\begin{array}{l} t_1 := c \cdot t - i \cdot y\\ t_2 := -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\\ t_3 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_4 := y \cdot \left(z \cdot x\right)\\ t_5 := \left(a \cdot i - c \cdot z\right) \cdot b\\ t_6 := t_2 + \left(t_4 + t_5\right)\\ t_7 := c \cdot \left(t \cdot j\right)\\ t_8 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_9 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_8\\ t_10 := -1 \cdot \left(c \cdot \left(z \cdot b\right)\right)\\ t_11 := t_7 + \left(\left(-a \cdot t\right) \cdot x + t_10\right)\\ t_12 := i \cdot \left(a \cdot b\right)\\ t_13 := t_12 + \left(t_3 + t_2\right)\\ t_14 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ \mathbf{if}\;i \leq -6.8 \cdot 10^{+125}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;i \leq -8.6 \cdot 10^{+18}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq -2.2 \cdot 10^{-17}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -3.3 \cdot 10^{-54}:\\ \;\;\;\;t_8 + \left(t_14 + t_4\right)\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{-71}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-202}:\\ \;\;\;\;t_7 + \left(t_14 + t_5\right)\\ \mathbf{elif}\;i \leq -6 \cdot 10^{-242}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 2 \cdot 10^{-291}:\\ \;\;\;\;t_7 + \left(t_3 + t_10\right)\\ \mathbf{elif}\;i \leq 4.1 \cdot 10^{-283}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 7.2 \cdot 10^{-139}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(-a \cdot \left(i \cdot b\right)\right)\right) + j \cdot t_1\\ \mathbf{elif}\;i \leq 1.45 \cdot 10^{-80}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{+146}:\\ \;\;\;\;t_1 \cdot j + \left(t_12 + t_4\right)\\ \mathbf{else}:\\ \;\;\;\;t_13\\ \end{array} \]

Alternative 6
Error	23.7
Cost	2928

\[\begin{array}{l} t_1 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_2\\ t_5 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_6 := t_2 + t_1\\ t_7 := \left(a \cdot i - c \cdot z\right) \cdot b\\ t_8 := t_3 + \left(t_5 + t_7\right)\\ \mathbf{if}\;z \leq -2.45 \cdot 10^{-19}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-162}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.14 \cdot 10^{-229}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-288}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-293}:\\ \;\;\;\;i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-286}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(-a \cdot \left(i \cdot b\right)\right)\right) + t_3\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{-255}:\\ \;\;\;\;t_5 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{-234}:\\ \;\;\;\;t_2 + t_7\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-226}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-133}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 50000000000:\\ \;\;\;\;\left(c \cdot t - i \cdot y\right) \cdot j + \left(i \cdot \left(a \cdot b\right) + y \cdot \left(z \cdot x\right)\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+67}:\\ \;\;\;\;\left(-i \cdot \left(y \cdot j\right)\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Error	27.0
Cost	2668

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot x\right)\\ t_2 := -1 \cdot t_1\\ t_3 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_4 := t_3 + \left(a \cdot i - c \cdot z\right) \cdot b\\ t_5 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_6 := t_3 + t_5\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+46}:\\ \;\;\;\;y \cdot \left(z \cdot x - i \cdot j\right) + t_2\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{-13}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;y \leq -2.25 \cdot 10^{-17}:\\ \;\;\;\;t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -1.8 \cdot 10^{-49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -4.7 \cdot 10^{-111}:\\ \;\;\;\;\left(-i \cdot \left(y \cdot j\right)\right) + t_5\\ \mathbf{elif}\;y \leq -2.15 \cdot 10^{-234}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{-292}:\\ \;\;\;\;t_3 + \left(-t_1\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-153}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-140}:\\ \;\;\;\;\left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{-128}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{-89}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 8
Error	27.9
Cost	2660

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := \left(a \cdot i - c \cdot z\right) \cdot b\\ t_3 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_4 := y \cdot \left(z \cdot x - i \cdot j\right) + t_3\\ t_5 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_6 := c \cdot \left(t \cdot j\right)\\ t_7 := -a \cdot \left(i \cdot b\right)\\ t_8 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_5\\ \mathbf{if}\;a \leq -2 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) + \left(t_5 + t_3\right)\\ \mathbf{elif}\;a \leq -9.5 \cdot 10^{+68}:\\ \;\;\;\;\left(t_1 - t_7\right) + j \cdot \left(c \cdot t - i \cdot y\right)\\ \mathbf{elif}\;a \leq -1.14 \cdot 10^{+36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{+22}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-7}:\\ \;\;\;\;-1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + \left(t_1 + t_2\right)\\ \mathbf{elif}\;a \leq -5.5 \cdot 10^{-164}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - t_7\right) + t_6\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-247}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 3.15 \cdot 10^{-65}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{+146}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_6 + \left(t_3 + t_2\right)\\ \end{array} \]

Alternative 9
Error	39.0
Cost	2620

\[\begin{array}{l} t_1 := \left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ t_2 := a \cdot \left(i \cdot b\right)\\ t_3 := i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ t_4 := y \cdot \left(z \cdot x - i \cdot j\right)\\ t_5 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_6 := \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+155}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -1.9 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{+21}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -3.9 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -7.4 \cdot 10^{-134}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-269}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + t_2\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-307}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-275}:\\ \;\;\;\;-\left(t \cdot x\right) \cdot a\\ \mathbf{elif}\;c \leq 4.8 \cdot 10^{-235}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-97}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 4.9 \cdot 10^{-49}:\\ \;\;\;\;\left(c \cdot t - y \cdot i\right) \cdot j\\ \mathbf{elif}\;c \leq 2 \cdot 10^{-10}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 10
Error	33.5
Cost	2608

\[\begin{array}{l} t_1 := \left(-i \cdot \left(y \cdot j\right)\right) + \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ t_3 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_4 := \left(c \cdot t - i \cdot y\right) \cdot j + a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.8 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -2.15 \cdot 10^{+48}:\\ \;\;\;\;\left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ \mathbf{elif}\;c \leq -4.8 \cdot 10^{-26}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-194}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -6 \cdot 10^{-289}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 7 \cdot 10^{-226}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-190}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-161}:\\ \;\;\;\;y \cdot \left(z \cdot x - i \cdot j\right)\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{-40}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 0.32:\\ \;\;\;\;\left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z\\ \mathbf{elif}\;c \leq 1.25 \cdot 10^{+34}:\\ \;\;\;\;\left(c \cdot t - y \cdot i\right) \cdot j + \left(-a \cdot \left(t \cdot x\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	33.3
Cost	2540

\[\begin{array}{l} t_1 := \left(-i \cdot \left(y \cdot j\right)\right) + \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ t_3 := y \cdot \left(z \cdot x - i \cdot j\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_4 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_5 := \left(c \cdot t - i \cdot y\right) \cdot j + a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;c \leq -1.35 \cdot 10^{+159}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.9 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{+48}:\\ \;\;\;\;\left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ \mathbf{elif}\;c \leq -3.4 \cdot 10^{-26}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -1.6 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-293}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 8.6 \cdot 10^{-226}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.95 \cdot 10^{-190}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-97}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-49}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 8.8 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 12
Error	27.0
Cost	2536

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot x\right)\\ t_2 := -1 \cdot t_1\\ t_3 := y \cdot \left(z \cdot x - i \cdot j\right) + t_2\\ t_4 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_5 := t_4 + \left(a \cdot i - c \cdot z\right) \cdot b\\ \mathbf{if}\;y \leq -1.9 \cdot 10^{+48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{-13}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;y \leq -9.5 \cdot 10^{-18}:\\ \;\;\;\;t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -8.6 \cdot 10^{-49}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -4.4 \cdot 10^{-111}:\\ \;\;\;\;\left(-i \cdot \left(y \cdot j\right)\right) + \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{-234}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -5 \cdot 10^{-291}:\\ \;\;\;\;t_4 + \left(-t_1\right)\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-90}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+41}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 13
Error	31.1
Cost	2532

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - i \cdot j\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_2 := a \cdot \left(i \cdot b\right)\\ t_3 := \left(c \cdot t - i \cdot y\right) \cdot j + t_2\\ t_4 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_5 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_4\\ t_6 := t_4 + \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{if}\;a \leq -7.5 \cdot 10^{+189}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -9.8 \cdot 10^{+91}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + t_2\\ \mathbf{elif}\;a \leq -9 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{-61}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.8 \cdot 10^{-214}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 3.9 \cdot 10^{-247}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 1.45 \cdot 10^{-66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{+70}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4 + \left(a \cdot i - c \cdot z\right) \cdot b\\ \end{array} \]

Alternative 14
Error	30.4
Cost	2532

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - i \cdot j\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ t_2 := y \cdot \left(z \cdot x\right)\\ t_3 := a \cdot \left(i \cdot b\right)\\ t_4 := \left(c \cdot t - i \cdot y\right) \cdot j\\ t_5 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_6 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_5\\ t_7 := t_5 + \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{if}\;a \leq -7.5 \cdot 10^{+189}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -1.02 \cdot 10^{+92}:\\ \;\;\;\;t_2 + t_3\\ \mathbf{elif}\;a \leq -1.22 \cdot 10^{+73}:\\ \;\;\;\;t_4 + t_3\\ \mathbf{elif}\;a \leq -5 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-64}:\\ \;\;\;\;t_4 + \left(i \cdot \left(a \cdot b\right) + t_2\right)\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-215}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-247}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 6.1 \cdot 10^{-65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{+70}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5 + \left(a \cdot i - c \cdot z\right) \cdot b\\ \end{array} \]

Alternative 15
Error	23.3
Cost	2532

\[\begin{array}{l} t_1 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(-a \cdot \left(i \cdot b\right)\right)\right) + c \cdot \left(t \cdot j\right)\\ t_3 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_4 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_3\\ t_5 := t_3 + \left(a \cdot i - c \cdot z\right) \cdot b\\ \mathbf{if}\;z \leq -1.05 \cdot 10^{-18}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-149}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;z \leq -6.2 \cdot 10^{-228}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-293}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 7.2 \cdot 10^{-253}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{-227}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.08 \cdot 10^{-160}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 39000000000:\\ \;\;\;\;\left(c \cdot t - i \cdot y\right) \cdot j + \left(i \cdot \left(a \cdot b\right) + y \cdot \left(z \cdot x\right)\right)\\ \mathbf{elif}\;z \leq 3 \cdot 10^{+64}:\\ \;\;\;\;\left(-i \cdot \left(y \cdot j\right)\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 16
Error	23.4
Cost	2400

\[\begin{array}{l} t_1 := -a \cdot \left(i \cdot b\right)\\ t_2 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_3 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_4 := t_3 + t_2\\ t_5 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - t_1\right) + c \cdot \left(t \cdot j\right)\\ t_6 := \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + t_3\\ \mathbf{if}\;z \leq -9.5 \cdot 10^{-19}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -6.1 \cdot 10^{-153}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.1 \cdot 10^{-227}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -6.8 \cdot 10^{-292}:\\ \;\;\;\;t_3 + \left(a \cdot i - c \cdot z\right) \cdot b\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-284}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-249}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 33000000000:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_1\right) + j \cdot \left(c \cdot t - i \cdot y\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+67}:\\ \;\;\;\;\left(-i \cdot \left(y \cdot j\right)\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 17
Error	23.7
Cost	2400

\[\begin{array}{l} t_1 := -a \cdot \left(i \cdot b\right)\\ t_2 := c \cdot t - i \cdot y\\ t_3 := y \cdot \left(z \cdot x\right)\\ t_4 := -1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + \left(t_3 + \left(a \cdot i - c \cdot z\right) \cdot b\right)\\ \mathbf{if}\;j \leq -1.2 \cdot 10^{-61}:\\ \;\;\;\;\left(t_3 - t_1\right) + j \cdot t_2\\ \mathbf{elif}\;j \leq -1.32 \cdot 10^{-210}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 3.4 \cdot 10^{-277}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - t_1\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;j \leq 1.3 \cdot 10^{-235}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 7.8 \cdot 10^{-178}:\\ \;\;\;\;y \cdot \left(z \cdot x - i \cdot j\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-128}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 3.3 \cdot 10^{-121}:\\ \;\;\;\;\left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ \mathbf{elif}\;j \leq 2.9 \cdot 10^{-83}:\\ \;\;\;\;t_2 \cdot j + \left(i \cdot \left(a \cdot b\right) + t_3\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(c \cdot t - y \cdot i\right) \cdot j\\ \end{array} \]

Alternative 18
Error	36.9
Cost	2356

\[\begin{array}{l} t_1 := \left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ t_2 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_3 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_4 := \left(c \cdot t - i \cdot y\right) \cdot j + a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.9 \cdot 10^{+94}:\\ \;\;\;\;i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{-31}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-158}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-292}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{-235}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 8.4 \cdot 10^{-44}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 0.7:\\ \;\;\;\;\left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z\\ \mathbf{elif}\;c \leq 9.6 \cdot 10^{+14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.7 \cdot 10^{+36}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;c \leq 1.12 \cdot 10^{+157}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{+218}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Error	25.2
Cost	2336

\[\begin{array}{l} t_1 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_2 := t_1 + \left(a \cdot i - c \cdot z\right) \cdot b\\ t_3 := c \cdot \left(t \cdot j\right) + \left(\left(-a \cdot t\right) \cdot x + -1 \cdot \left(c \cdot \left(z \cdot b\right)\right)\right)\\ t_4 := t_1 + \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{if}\;c \leq -1.85 \cdot 10^{+155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.52 \cdot 10^{-28}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-233}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-289}:\\ \;\;\;\;\left(c \cdot t - i \cdot y\right) \cdot j + a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{-226}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 1.45 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{-117}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 5 \cdot 10^{+33}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	33.8
Cost	2288

\[\begin{array}{l} t_1 := i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ t_2 := i \cdot \left(y \cdot j\right)\\ t_3 := \left(-t_2\right) + \left(y \cdot z - a \cdot t\right) \cdot x\\ t_4 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_5 := \left(c \cdot t - i \cdot y\right) \cdot j + a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+155}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.8 \cdot 10^{+94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2 \cdot 10^{+48}:\\ \;\;\;\;\left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-26}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -1.4 \cdot 10^{-196}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.95 \cdot 10^{-289}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{-226}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.4 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-163}:\\ \;\;\;\;y \cdot \left(z \cdot x - i \cdot j\right)\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-44}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 45:\\ \;\;\;\;\left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z\\ \mathbf{elif}\;c \leq 9 \cdot 10^{+35}:\\ \;\;\;\;\left(c \cdot t\right) \cdot j - t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 21
Error	38.7
Cost	2224

\[\begin{array}{l} t_1 := \left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ t_2 := i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ t_3 := y \cdot \left(z \cdot x - i \cdot j\right)\\ t_4 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_5 := \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+157}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.8 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -3.9 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{+21}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -3.9 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-22}:\\ \;\;\;\;a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;c \leq -2.1 \cdot 10^{-160}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -6 \cdot 10^{-291}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.18 \cdot 10^{-275}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-97}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 4.7 \cdot 10^{-49}:\\ \;\;\;\;\left(c \cdot t - y \cdot i\right) \cdot j\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-10}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 22
Error	38.8
Cost	2224

\[\begin{array}{l} t_1 := \left(c \cdot j + -1 \cdot \left(a \cdot x\right)\right) \cdot t\\ t_2 := a \cdot \left(i \cdot b\right)\\ t_3 := y \cdot \left(z \cdot x - i \cdot j\right)\\ t_4 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ t_5 := \left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{if}\;c \leq -1.35 \cdot 10^{+159}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.85 \cdot 10^{+94}:\\ \;\;\;\;i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -2 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.25 \cdot 10^{+23}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -3.4 \cdot 10^{-131}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -3.65 \cdot 10^{-301}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + t_2\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-275}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;c \leq 5.5 \cdot 10^{-98}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 5.5 \cdot 10^{-49}:\\ \;\;\;\;\left(c \cdot t - y \cdot i\right) \cdot j\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-10}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 23
Error	50.6
Cost	2100

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ t_2 := -\left(t \cdot x\right) \cdot a\\ t_3 := \left(y \cdot x\right) \cdot z\\ t_4 := -i \cdot \left(y \cdot j\right)\\ t_5 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -1.02 \cdot 10^{+151}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{+123}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq -23500:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.35 \cdot 10^{-28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-149}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.02 \cdot 10^{-283}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -9.2 \cdot 10^{-304}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-275}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 8.2 \cdot 10^{-196}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 5.2 \cdot 10^{-100}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{-39}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{-15}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.6 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 24
Error	38.6
Cost	2092

\[\begin{array}{l} t_1 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := y \cdot \left(z \cdot x - i \cdot j\right)\\ t_3 := i \cdot \left(a \cdot b + -1 \cdot \left(y \cdot j\right)\right)\\ t_4 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+155}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.9 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -7 \cdot 10^{+61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -11500:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -4.1 \cdot 10^{-22}:\\ \;\;\;\;a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2 \cdot 10^{-296}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 9.8 \cdot 10^{-276}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{-48}:\\ \;\;\;\;\left(c \cdot t - y \cdot i\right) \cdot j\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-10}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 25
Error	45.1
Cost	1764

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(z \cdot x - i \cdot j\right)\\ \mathbf{if}\;c \leq -2.7 \cdot 10^{+150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -6.9 \cdot 10^{+115}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq -5.5 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -66000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-25}:\\ \;\;\;\;a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;c \leq -2.6 \cdot 10^{-59}:\\ \;\;\;\;\left(-a \cdot t\right) \cdot x\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-307}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-275}:\\ \;\;\;\;-\left(t \cdot x\right) \cdot a\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 26
Error	42.8
Cost	1764

\[\begin{array}{l} t_1 := \left(y \cdot z - a \cdot t\right) \cdot x\\ t_2 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_3 := y \cdot \left(z \cdot x - i \cdot j\right)\\ \mathbf{if}\;c \leq -5.2 \cdot 10^{+150}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;c \leq -2.25 \cdot 10^{+122}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq -290:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-307}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 8.8 \cdot 10^{-276}:\\ \;\;\;\;-\left(t \cdot x\right) \cdot a\\ \mathbf{elif}\;c \leq 6.8 \cdot 10^{-99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{-49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1860:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 27
Error	37.9
Cost	1564

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x - i \cdot j\right)\\ t_2 := c \cdot \left(\left(-b \cdot z\right) + t \cdot j\right)\\ \mathbf{if}\;c \leq -2.5 \cdot 10^{+62}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -34000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{-24}:\\ \;\;\;\;a \cdot \left(i \cdot b\right)\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-197}:\\ \;\;\;\;\left(y \cdot z - a \cdot t\right) \cdot x\\ \mathbf{elif}\;c \leq -7.5 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-276}:\\ \;\;\;\;-\left(t \cdot x\right) \cdot a\\ \mathbf{elif}\;c \leq 3 \cdot 10^{-92}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Error	50.0
Cost	1508

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(i \cdot b\right)\\ t_3 := i \cdot \left(a \cdot b\right)\\ t_4 := \left(y \cdot x\right) \cdot z\\ \mathbf{if}\;c \leq -2.7 \cdot 10^{+150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.25 \cdot 10^{+122}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9500:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.16 \cdot 10^{-28}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -4.8 \cdot 10^{-151}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-284}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{-226}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 2.25 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-97}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 29
Error	50.5
Cost	1376

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ t_2 := -i \cdot \left(y \cdot j\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -3 \cdot 10^{+150}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{+122}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq -34000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.4 \cdot 10^{-28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-154}:\\ \;\;\;\;\left(y \cdot x\right) \cdot z\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-272}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.7 \cdot 10^{-193}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-98}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Error	50.1
Cost	1244

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;c \leq -2.7 \cdot 10^{+150}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.32 \cdot 10^{+122}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq -55000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.2 \cdot 10^{-28}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.6 \cdot 10^{-143}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -7 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 9 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 31
Error	39.5
Cost	1104

\[\begin{array}{l} t_1 := \left(c \cdot t - y \cdot i\right) \cdot j\\ t_2 := y \cdot \left(z \cdot x - i \cdot j\right)\\ \mathbf{if}\;y \leq -2.7 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-271}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -7.4 \cdot 10^{-299}:\\ \;\;\;\;\left(-a \cdot t\right) \cdot x\\ \mathbf{elif}\;y \leq 1.32 \cdot 10^{+41}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 32
Error	49.8
Cost	848

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -2.7 \cdot 10^{+150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.25 \cdot 10^{+122}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq -23000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-95}:\\ \;\;\;\;a \cdot \left(i \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 33
Error	49.3
Cost	584

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;a \leq -7.5 \cdot 10^{-51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{+25}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 34
Error	53.4
Cost	320

\[a \cdot \left(i \cdot b\right) \]

Reproduce

herbie shell --seed 2023010 
(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)))))