Linear.Matrix:det33 from linear-1.19.1.3

Average Accuracy: 80.3% → 92.7%

Time: 1.0min

Precision: binary64

Cost: 5832

Math

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

↓

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_4 := t_2 - \left(x \cdot \left(t \cdot a - y \cdot z\right) - t_3\right)\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;\left(t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\right) + t_1\\ \mathbf{elif}\;t_4 \leq 10^{+306}:\\ \;\;\;\;\left(\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + t_3\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;\left(\left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right) - y \cdot \left(i \cdot j\right)\right) + t_1\\ \end{array} \]

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 (- (* x y) (* b c))))
        (t_2 (* j (- (* t c) (* y i))))
        (t_3 (* b (- (* a i) (* z c))))
        (t_4 (- t_2 (- (* x (- (* t a) (* y z))) t_3))))
   (if (<= t_4 (- INFINITY))
     (+ (+ t_2 (* a (- (* b i) (* x t)))) t_1)
     (if (<= t_4 1e+306)
       (+ (+ (- (* x (* y z)) (* x (* t a))) t_3) t_2)
       (+ (- (- (* a (* b i)) (* a (* x t))) (* y (* i j))) t_1)))))

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 * ((x * y) - (b * c));
	double t_2 = j * ((t * c) - (y * i));
	double t_3 = b * ((a * i) - (z * c));
	double t_4 = t_2 - ((x * ((t * a) - (y * z))) - t_3);
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = (t_2 + (a * ((b * i) - (x * t)))) + t_1;
	} else if (t_4 <= 1e+306) {
		tmp = (((x * (y * z)) - (x * (t * a))) + t_3) + t_2;
	} else {
		tmp = (((a * (b * i)) - (a * (x * t))) - (y * (i * j))) + t_1;
	}
	return tmp;
}

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	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 * ((x * y) - (b * c));
	double t_2 = j * ((t * c) - (y * i));
	double t_3 = b * ((a * i) - (z * c));
	double t_4 = t_2 - ((x * ((t * a) - (y * z))) - t_3);
	double tmp;
	if (t_4 <= -Double.POSITIVE_INFINITY) {
		tmp = (t_2 + (a * ((b * i) - (x * t)))) + t_1;
	} else if (t_4 <= 1e+306) {
		tmp = (((x * (y * z)) - (x * (t * a))) + t_3) + t_2;
	} else {
		tmp = (((a * (b * i)) - (a * (x * t))) - (y * (i * j))) + t_1;
	}
	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 * ((x * y) - (b * c))
	t_2 = j * ((t * c) - (y * i))
	t_3 = b * ((a * i) - (z * c))
	t_4 = t_2 - ((x * ((t * a) - (y * z))) - t_3)
	tmp = 0
	if t_4 <= -math.inf:
		tmp = (t_2 + (a * ((b * i) - (x * t)))) + t_1
	elif t_4 <= 1e+306:
		tmp = (((x * (y * z)) - (x * (t * a))) + t_3) + t_2
	else:
		tmp = (((a * (b * i)) - (a * (x * t))) - (y * (i * j))) + t_1
	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(z * Float64(Float64(x * y) - Float64(b * c)))
	t_2 = Float64(j * Float64(Float64(t * c) - Float64(y * i)))
	t_3 = Float64(b * Float64(Float64(a * i) - Float64(z * c)))
	t_4 = Float64(t_2 - Float64(Float64(x * Float64(Float64(t * a) - Float64(y * z))) - t_3))
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(Float64(t_2 + Float64(a * Float64(Float64(b * i) - Float64(x * t)))) + t_1);
	elseif (t_4 <= 1e+306)
		tmp = Float64(Float64(Float64(Float64(x * Float64(y * z)) - Float64(x * Float64(t * a))) + t_3) + t_2);
	else
		tmp = Float64(Float64(Float64(Float64(a * Float64(b * i)) - Float64(a * Float64(x * t))) - Float64(y * Float64(i * j))) + t_1);
	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 * ((x * y) - (b * c));
	t_2 = j * ((t * c) - (y * i));
	t_3 = b * ((a * i) - (z * c));
	t_4 = t_2 - ((x * ((t * a) - (y * z))) - t_3);
	tmp = 0.0;
	if (t_4 <= -Inf)
		tmp = (t_2 + (a * ((b * i) - (x * t)))) + t_1;
	elseif (t_4 <= 1e+306)
		tmp = (((x * (y * z)) - (x * (t * a))) + t_3) + t_2;
	else
		tmp = (((a * (b * i)) - (a * (x * t))) - (y * (i * j))) + t_1;
	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[(z * N[(N[(x * y), $MachinePrecision] - N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(t * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(b * N[(N[(a * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t$95$2 - N[(N[(x * N[(N[(t * a), $MachinePrecision] - N[(y * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(N[(t$95$2 + N[(a * N[(N[(b * i), $MachinePrecision] - N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision], If[LessEqual[t$95$4, 1e+306], N[(N[(N[(N[(x * N[(y * z), $MachinePrecision]), $MachinePrecision] - N[(x * N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision] + t$95$2), $MachinePrecision], N[(N[(N[(N[(a * N[(b * i), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]]]]]]]

Target

Original	80.3%
Target	74.5%
Herbie	92.7%

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

Derivation

1. Split input into 3 regimes

2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < -inf.0

   1. Initial program 0.0%

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

   2. Simplified 0.0%

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

      [Start] 0.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      associate-+l- [=>] 0.0	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)} \]
      fma-neg [=>] 0.0	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)\right)} \]
      neg-sub0 [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)}\right) \]
      associate-+l- [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)}\right) \]
      neg-sub0 [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\right) \]
      distribute-rgt-neg-in [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\right) \]
      fma-def [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - i \cdot a\right), j \cdot \left(c \cdot t - i \cdot y\right)\right)}\right) \]
      sub-neg [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-i \cdot a\right)\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      distribute-neg-in [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-i \cdot a\right)\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      +-commutative [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-i \cdot a\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      remove-double-neg [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{i \cdot a} + \left(-c \cdot z\right), j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      sub-neg [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{i \cdot a - c \cdot z}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      *-commutative [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{a \cdot i} - c \cdot z, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      *-commutative [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, a \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]

   3. Applied egg-rr 0.0%

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

      [Start] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, a \cdot i - z \cdot c, j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      prod-diff [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\mathsf{fma}\left(a, i, -c \cdot z\right) + \mathsf{fma}\left(-c, z, c \cdot z\right)}, j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \mathsf{fma}\left(a, i, -\color{blue}{z \cdot c}\right) + \mathsf{fma}\left(-c, z, c \cdot z\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      fma-neg [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(a \cdot i - z \cdot c\right)} + \mathsf{fma}\left(-c, z, c \cdot z\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      prod-diff [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(\mathsf{fma}\left(a, i, -c \cdot z\right) + \mathsf{fma}\left(-c, z, c \cdot z\right)\right)} + \mathsf{fma}\left(-c, z, c \cdot z\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(\mathsf{fma}\left(a, i, -\color{blue}{z \cdot c}\right) + \mathsf{fma}\left(-c, z, c \cdot z\right)\right) + \mathsf{fma}\left(-c, z, c \cdot z\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      fma-neg [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(\color{blue}{\left(a \cdot i - z \cdot c\right)} + \mathsf{fma}\left(-c, z, c \cdot z\right)\right) + \mathsf{fma}\left(-c, z, c \cdot z\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      associate-+l+ [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(a \cdot i - z \cdot c\right) + \left(\mathsf{fma}\left(-c, z, c \cdot z\right) + \mathsf{fma}\left(-c, z, c \cdot z\right)\right)}, j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(a \cdot i - z \cdot c\right) + \left(\mathsf{fma}\left(-c, z, \color{blue}{z \cdot c}\right) + \mathsf{fma}\left(-c, z, c \cdot z\right)\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(a \cdot i - z \cdot c\right) + \left(\mathsf{fma}\left(-c, z, z \cdot c\right) + \mathsf{fma}\left(-c, z, \color{blue}{z \cdot c}\right)\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]

   4. Simplified 0.0%

      \[\leadsto \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(i \cdot a - c \cdot z\right) + 2 \cdot \mathsf{fma}\left(-c, z, c \cdot z\right)}, j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      Proof

      [Start] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(a \cdot i - z \cdot c\right) + \left(\mathsf{fma}\left(-c, z, z \cdot c\right) + \mathsf{fma}\left(-c, z, z \cdot c\right)\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(\color{blue}{i \cdot a} - z \cdot c\right) + \left(\mathsf{fma}\left(-c, z, z \cdot c\right) + \mathsf{fma}\left(-c, z, z \cdot c\right)\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(i \cdot a - \color{blue}{c \cdot z}\right) + \left(\mathsf{fma}\left(-c, z, z \cdot c\right) + \mathsf{fma}\left(-c, z, z \cdot c\right)\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      count-2 [=>] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(i \cdot a - c \cdot z\right) + \color{blue}{2 \cdot \mathsf{fma}\left(-c, z, z \cdot c\right)}, j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]
      *-commutative [<=] 0.0	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \left(i \cdot a - c \cdot z\right) + 2 \cdot \mathsf{fma}\left(-c, z, \color{blue}{c \cdot z}\right), j \cdot \left(t \cdot c - y \cdot i\right)\right)\right) \]

   5. Taylor expanded in y around 0 54.9%

      \[\leadsto \color{blue}{\left(\left(i \cdot a + 2 \cdot \left(-1 \cdot \left(c \cdot z\right) + c \cdot z\right)\right) - c \cdot z\right) \cdot b + \left(\left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right)\right)} \]

   6. Simplified 54.9%

      \[\leadsto \color{blue}{\mathsf{fma}\left(\mathsf{fma}\left(i, a, 0\right) - c \cdot z, b, \mathsf{fma}\left(\mathsf{fma}\left(z, x, -i \cdot j\right), y, \mathsf{fma}\left(c, t \cdot j, -a \cdot \left(t \cdot x\right)\right)\right)\right)} \]
      Proof

      [Start] 54.9	\[ \left(\left(i \cdot a + 2 \cdot \left(-1 \cdot \left(c \cdot z\right) + c \cdot z\right)\right) - c \cdot z\right) \cdot b + \left(\left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right) \cdot y + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right)\right) \]

   7. Taylor expanded in z around -inf 81.3%

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

   8. Simplified 62.4%

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

      [Start] 81.3	\[ \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right) - a \cdot \left(t \cdot x\right) \]
      associate-*r* [=>] 72.2	\[ \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right) - \color{blue}{\left(a \cdot t\right) \cdot x} \]
      cancel-sign-sub-inv [=>] 72.2	\[ \color{blue}{\left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right) + \left(-a \cdot t\right) \cdot x} \]
      mul-1-neg [<=] 72.2	\[ \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right) + \color{blue}{\left(-1 \cdot \left(a \cdot t\right)\right)} \cdot x \]
      associate-*r* [<=] 72.2	\[ \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right) + \color{blue}{-1 \cdot \left(\left(a \cdot t\right) \cdot x\right)} \]
      associate-*r* [<=] 81.3	\[ \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right) + -1 \cdot \color{blue}{\left(a \cdot \left(t \cdot x\right)\right)} \]
      +-commutative [=>] 81.3	\[ \color{blue}{-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right)\right)} \]
      +-commutative [=>] 81.3	\[ -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \color{blue}{\left(\left(c \cdot \left(t \cdot j\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right)} \]

   if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < 1.00000000000000002e306

   1. Initial program 98.7%

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

   2. Applied egg-rr 98.7%

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

      [Start] 98.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      cancel-sign-sub-inv [=>] 98.7	\[ \left(x \cdot \color{blue}{\left(y \cdot z + \left(-t\right) \cdot a\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      distribute-rgt-in [=>] 98.7	\[ \left(\color{blue}{\left(\left(y \cdot z\right) \cdot x + \left(\left(-t\right) \cdot a\right) \cdot x\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      distribute-lft-neg-in [<=] 98.7	\[ \left(\left(\left(y \cdot z\right) \cdot x + \color{blue}{\left(-t \cdot a\right)} \cdot x\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      distribute-rgt-neg-in [=>] 98.7	\[ \left(\left(\left(y \cdot z\right) \cdot x + \color{blue}{\left(t \cdot \left(-a\right)\right)} \cdot x\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   if 1.00000000000000002e306 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))))

   1. Initial program 1.9%

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

   2. Simplified 1.9%

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

      [Start] 1.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      associate-+l- [=>] 1.9	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)} \]
      fma-neg [=>] 1.9	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)\right)} \]
      neg-sub0 [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)}\right) \]
      associate-+l- [<=] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)}\right) \]
      neg-sub0 [<=] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\right) \]
      distribute-rgt-neg-in [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\right) \]
      fma-def [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - i \cdot a\right), j \cdot \left(c \cdot t - i \cdot y\right)\right)}\right) \]
      sub-neg [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-i \cdot a\right)\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      distribute-neg-in [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-i \cdot a\right)\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      +-commutative [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-i \cdot a\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      remove-double-neg [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{i \cdot a} + \left(-c \cdot z\right), j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      sub-neg [<=] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{i \cdot a - c \cdot z}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      *-commutative [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{a \cdot i} - c \cdot z, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      *-commutative [=>] 1.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, a \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]

   3. Taylor expanded in z around 0 60.1%

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

   4. Taylor expanded in c around 0 70.3%

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

   5. Simplified 70.2%

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

      [Start] 70.3	\[ \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(-1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) \]
      associate-*r* [=>] 59.2	\[ \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(-1 \cdot \color{blue}{\left(\left(i \cdot y\right) \cdot j\right)} + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) \]
      *-commutative [<=] 59.2	\[ \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(-1 \cdot \left(\color{blue}{\left(y \cdot i\right)} \cdot j\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) \]
      associate-*r* [<=] 70.2	\[ \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(-1 \cdot \color{blue}{\left(y \cdot \left(i \cdot j\right)\right)} + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) \]
      associate-*r* [=>] 70.2	\[ \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(\color{blue}{\left(-1 \cdot y\right) \cdot \left(i \cdot j\right)} + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) \]
      neg-mul-1 [<=] 70.2	\[ \left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right) \cdot z + \left(\color{blue}{\left(-y\right)} \cdot \left(i \cdot j\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + a \cdot \left(i \cdot b\right)\right)\right) \]

3. Recombined 3 regimes into one program.

4. Final simplification 92.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \cdot \left(t \cdot c - y \cdot i\right) - \left(x \cdot \left(t \cdot a - y \cdot z\right) - b \cdot \left(a \cdot i - z \cdot c\right)\right) \leq -\infty:\\ \;\;\;\;\left(j \cdot \left(t \cdot c - y \cdot i\right) + a \cdot \left(b \cdot i - x \cdot t\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \cdot \left(t \cdot c - y \cdot i\right) - \left(x \cdot \left(t \cdot a - y \cdot z\right) - b \cdot \left(a \cdot i - z \cdot c\right)\right) \leq 10^{+306}:\\ \;\;\;\;\left(\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right) - y \cdot \left(i \cdot j\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	90.7%
Cost	5705

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right) - \left(x \cdot \left(t \cdot a - y \cdot z\right) - b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_1 \leq -\infty \lor \neg \left(t_1 \leq 10^{+306}\right):\\ \;\;\;\;\left(\left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right) - y \cdot \left(i \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 2
Accuracy	91.6%
Cost	5705

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := t_1 - \left(x \cdot \left(t \cdot a - y \cdot z\right) - b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_2 \leq -\infty \lor \neg \left(t_2 \leq 10^{+306}\right):\\ \;\;\;\;\left(t_1 + a \cdot \left(b \cdot i - x \cdot t\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Accuracy	92.7%
Cost	5704

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := t_2 - \left(x \cdot \left(t \cdot a - y \cdot z\right) - b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;\left(t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\right) + t_1\\ \mathbf{elif}\;t_3 \leq 10^{+306}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(\left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right) - y \cdot \left(i \cdot j\right)\right) + t_1\\ \end{array} \]

Alternative 4
Accuracy	42.4%
Cost	2688

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_3 := t \cdot \left(c \cdot j - x \cdot a\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_6 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;z \leq -3500000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4 \cdot 10^{-19}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.9 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{-96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.8 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.38 \cdot 10^{-136}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.12 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-226}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{-246}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.8 \cdot 10^{-276}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-293}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-254}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-89}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 0.95:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{+44}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 5
Accuracy	42.7%
Cost	2688

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := t \cdot \left(c \cdot j - x \cdot a\right)\\ t_4 := c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\\ t_5 := t \cdot c - y \cdot i\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_7 := j \cdot t_5\\ \mathbf{if}\;z \leq -1620000000:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -5 \cdot 10^{-18}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -7.7 \cdot 10^{-44}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -7.5 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-130}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -4.3 \cdot 10^{-147}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-234}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-245}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq -5.8 \cdot 10^{-293}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{-254}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-93}:\\ \;\;\;\;\frac{j}{\frac{1}{t_5}}\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-52}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 36:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.75 \cdot 10^{+41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+44}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 6
Accuracy	37.3%
Cost	2556

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{if}\;i \leq -3.8 \cdot 10^{+195}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -2.35 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.15 \cdot 10^{-59}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -4.2 \cdot 10^{-116}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -2.8 \cdot 10^{-262}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{-288}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.58 \cdot 10^{-289}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 6 \cdot 10^{-276}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 4.75 \cdot 10^{-209}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 2.5 \cdot 10^{-193}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{-114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 7.2 \cdot 10^{-89}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 5 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.05 \cdot 10^{+49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 3.8 \cdot 10^{+222}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 7
Accuracy	66.1%
Cost	2396

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := t_2 + t_1\\ t_4 := y \cdot \left(i \cdot j\right)\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right) + t_2\\ t_6 := a \cdot \left(b \cdot i\right)\\ t_7 := \left(\left(t_6 - a \cdot \left(x \cdot t\right)\right) - t_4\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;b \leq -1.1 \cdot 10^{+175}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -2.15 \cdot 10^{+92}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + \left(t_6 - t_4\right)\\ \mathbf{elif}\;b \leq -4.2 \cdot 10^{-91}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 14500:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{+45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{+71}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq 3.7 \cdot 10^{+94}:\\ \;\;\;\;t_1 + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 8
Accuracy	42.2%
Cost	2292

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := t \cdot \left(c \cdot j - x \cdot a\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -122000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-41}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.05 \cdot 10^{-135}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-182}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq -4.7 \cdot 10^{-299}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-254}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;z \leq 8.6 \cdot 10^{-88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 75:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+44}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 9
Accuracy	42.1%
Cost	2292

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := t \cdot \left(c \cdot j - x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t \cdot c - y \cdot i\\ \mathbf{if}\;z \leq -60000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -5.5 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{-36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -8.5 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.8 \cdot 10^{-108}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -2.85 \cdot 10^{-136}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-184}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq -2.3 \cdot 10^{-296}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-254}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-85}:\\ \;\;\;\;\frac{j}{\frac{1}{t_4}}\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 230:\\ \;\;\;\;j \cdot t_4\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+44}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Accuracy	55.1%
Cost	2143

\[\begin{array}{l} \mathbf{if}\;c \leq -4.2 \cdot 10^{+157}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;c \leq -2.3 \cdot 10^{-260} \lor \neg \left(c \leq 3.9 \cdot 10^{-297} \lor \neg \left(c \leq 1.36 \cdot 10^{-177}\right) \land \left(c \leq 1.04 \cdot 10^{-140} \lor \neg \left(c \leq 2.3 \cdot 10^{-79}\right) \land c \leq 6.5 \cdot 10^{-48}\right)\right):\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \end{array} \]

Alternative 11
Accuracy	34.1%
Cost	2028

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_3 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_4 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;j \leq -1.18 \cdot 10^{+111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{+72}:\\ \;\;\;\;\frac{j}{\frac{1}{t \cdot c}}\\ \mathbf{elif}\;j \leq -1 \cdot 10^{-8}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 4.05 \cdot 10^{-97}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.45 \cdot 10^{-67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 6:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+26}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.4 \cdot 10^{+59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{+82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 6 \cdot 10^{+221}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 5.3 \cdot 10^{+270}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \end{array} \]

Alternative 12
Accuracy	65.3%
Cost	2008

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i\right) - y \cdot \left(i \cdot j\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := b \cdot \left(a \cdot i - z \cdot c\right) + t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_2 + t_4\\ \mathbf{if}\;b \leq -1.1 \cdot 10^{+175}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{+92}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.05 \cdot 10^{-80}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 14000:\\ \;\;\;\;t_1 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;b \leq 6 \cdot 10^{+38}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 13
Accuracy	65.3%
Cost	2008

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := a \cdot \left(b \cdot i\right) - y \cdot \left(i \cdot j\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right) + t_1\\ \mathbf{if}\;b \leq -7 \cdot 10^{+176}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -4.8 \cdot 10^{+92}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + t_3\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-90}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 6.6 \cdot 10^{-81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 13500:\\ \;\;\;\;t_3 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{+38}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 14
Accuracy	40.9%
Cost	1896

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{+18}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -5.5 \cdot 10^{-138}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-247}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-254}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.05 \cdot 10^{-227}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-202}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-145}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{-44}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 3300000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{+28}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 15
Accuracy	22.6%
Cost	1837

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := j \cdot \left(t \cdot c\right)\\ t_3 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;j \leq -2.15 \cdot 10^{+111}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -2.15 \cdot 10^{+33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.26 \cdot 10^{-8}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq 3.35 \cdot 10^{-174}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 5.4 \cdot 10^{-97}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;j \leq 6.6 \cdot 10^{-65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 300:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{+50} \lor \neg \left(j \leq 1.96 \cdot 10^{+226}\right) \land j \leq 4.7 \cdot 10^{+270}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Accuracy	22.5%
Cost	1837

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;j \leq -2.5 \cdot 10^{+111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+33}:\\ \;\;\;\;\frac{j}{\frac{1}{t \cdot c}}\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-8}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq 6.4 \cdot 10^{-174}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.85 \cdot 10^{-98}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;j \leq 10^{-63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 6400:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 9 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{+50} \lor \neg \left(j \leq 4.2 \cdot 10^{+227}\right) \land j \leq 7 \cdot 10^{+270}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \end{array} \]

Alternative 17
Accuracy	34.1%
Cost	1764

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;j \leq -9.8 \cdot 10^{+110}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.6 \cdot 10^{+103}:\\ \;\;\;\;\frac{j}{\frac{1}{t \cdot c}}\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{-91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -7.2 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -3.9 \cdot 10^{-253}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.25 \cdot 10^{-148}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{-96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.75 \cdot 10^{-68}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq 7.8 \cdot 10^{+219}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 7.7 \cdot 10^{+270}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \end{array} \]

Alternative 18
Accuracy	66.5%
Cost	1746

\[\begin{array}{l} \mathbf{if}\;x \leq -4.8 \cdot 10^{+156} \lor \neg \left(x \leq -1.9 \cdot 10^{+47}\right) \land \left(x \leq -7.2 \cdot 10^{-116} \lor \neg \left(x \leq 2.8 \cdot 10^{-60}\right)\right):\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \end{array} \]

Alternative 19
Accuracy	66.4%
Cost	1744

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := b \cdot \left(a \cdot i - z \cdot c\right) + t_1\\ \mathbf{if}\;b \leq -2.8 \cdot 10^{-90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 4 \cdot 10^{-81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 20000:\\ \;\;\;\;\left(a \cdot \left(b \cdot i\right) - y \cdot \left(i \cdot j\right)\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{+38}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Accuracy	31.7%
Cost	1632

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{if}\;j \leq -3.8 \cdot 10^{+111}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;j \leq -5.5 \cdot 10^{+33}:\\ \;\;\;\;\frac{j}{\frac{1}{t \cdot c}}\\ \mathbf{elif}\;j \leq -1.06 \cdot 10^{-8}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq 8 \cdot 10^{-149}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{-97}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;j \leq 7.8 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+159}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;j \leq 6.2 \cdot 10^{+225}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{j}{\frac{\frac{-1}{y}}{i}}\\ \end{array} \]

Alternative 21
Accuracy	38.1%
Cost	1632

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_3 := i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -2.8 \cdot 10^{+194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -3.25 \cdot 10^{+99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.1 \cdot 10^{-55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -2.8 \cdot 10^{-207}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.3 \cdot 10^{-252}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;i \leq -1.06 \cdot 10^{-288}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 3.7 \cdot 10^{-277}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-37}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Accuracy	21.1%
Cost	1572

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;t \leq -1.85 \cdot 10^{+158}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.25 \cdot 10^{+133}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -1.42 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -4.2 \cdot 10^{-51}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;t \leq -1.45 \cdot 10^{-81}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.6 \cdot 10^{-262}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-180}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;t \leq 4.4 \cdot 10^{-128}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \end{array} \]

Alternative 23
Accuracy	42.3%
Cost	1500

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -5.5 \cdot 10^{-36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-104}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{-298}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-254}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.8 \cdot 10^{+33}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 24
Accuracy	68.1%
Cost	1481

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -3.8 \cdot 10^{-77} \lor \neg \left(x \leq 4.6 \cdot 10^{-78}\right):\\ \;\;\;\;t_1 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right) + t_1\\ \end{array} \]

Alternative 25
Accuracy	22.0%
Cost	1440

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c\right)\\ t_2 := b \cdot \left(a \cdot i\right)\\ t_3 := i \cdot \left(-y \cdot j\right)\\ \mathbf{if}\;j \leq -1.4 \cdot 10^{+144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -9.5 \cdot 10^{-54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{-174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.9 \cdot 10^{-96}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 17500:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 2.3 \cdot 10^{+50}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 26
Accuracy	21.8%
Cost	1440

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c\right)\\ t_2 := b \cdot \left(a \cdot i\right)\\ \mathbf{if}\;j \leq -1.08 \cdot 10^{+111}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq -9.2 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 8.8 \cdot 10^{-184}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 7.4 \cdot 10^{-97}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1950:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{+23}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 1.25 \cdot 10^{+50}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 27
Accuracy	31.4%
Cost	1177

\[\begin{array}{l} t_1 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;j \leq -1.96 \cdot 10^{+111}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -8 \cdot 10^{+32}:\\ \;\;\;\;\frac{j}{\frac{1}{t \cdot c}}\\ \mathbf{elif}\;j \leq -9.8 \cdot 10^{-9}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq 3.25 \cdot 10^{-65}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;j \leq 1.75 \cdot 10^{+226} \lor \neg \left(j \leq 8.6 \cdot 10^{+270}\right):\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 28
Accuracy	21.3%
Cost	848

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ \mathbf{if}\;c \leq -8.6 \cdot 10^{-11}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-256}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;c \leq 9 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \end{array} \]

Alternative 29
Accuracy	21.7%
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -1.28 \cdot 10^{-11} \lor \neg \left(c \leq 5.5 \cdot 10^{-187}\right):\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \end{array} \]

Alternative 30
Accuracy	21.3%
Cost	584

\[\begin{array}{l} \mathbf{if}\;c \leq -1.28 \cdot 10^{-11}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-182}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \end{array} \]

Alternative 31
Accuracy	16.7%
Cost	320

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

Alternative 32
Accuracy	16.6%
Cost	320

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

Reproduce

herbie shell --seed 2023135 
(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)))))