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

Average Accuracy: 80.8% → 91.4%

Time: 56.0s

Precision: binary64

Cost: 19080

Math

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

↓

\[\begin{array}{l} t_1 := y \cdot z - t \cdot a\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := t_2 + \left(x \cdot t_1 + t_3\right)\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;\left(\left(y \cdot \left(x \cdot z\right) + t_2\right) + t \cdot \left(b \cdot i - x \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{+307}:\\ \;\;\;\;t_2 + \left(\mathsf{fma}\left(x, t_1, \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot \left(x + x\right)\right) + t_3\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (- (* y z) (* t a)))
        (t_2 (* j (- (* a c) (* y i))))
        (t_3 (* b (- (* t i) (* z c))))
        (t_4 (+ t_2 (+ (* x t_1) t_3))))
   (if (<= t_4 (- INFINITY))
     (- (+ (+ (* y (* x z)) t_2) (* t (- (* b i) (* x a)))) (* c (* z b)))
     (if (<= t_4 5e+307)
       (+ t_2 (+ (fma x t_1 (* (fma (- a) t (* t a)) (+ x x))) t_3))
       (+ (* i (- (* t b) (* y j))) (* c (- (* a j) (* z b))))))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = (y * z) - (t * a);
	double t_2 = j * ((a * c) - (y * i));
	double t_3 = b * ((t * i) - (z * c));
	double t_4 = t_2 + ((x * t_1) + t_3);
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = (((y * (x * z)) + t_2) + (t * ((b * i) - (x * a)))) - (c * (z * b));
	} else if (t_4 <= 5e+307) {
		tmp = t_2 + (fma(x, t_1, (fma(-a, t, (t * a)) * (x + x))) + t_3);
	} else {
		tmp = (i * ((t * b) - (y * j))) + (c * ((a * j) - (z * b)));
	}
	return tmp;
}

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(y * z) - Float64(t * a))
	t_2 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_3 = Float64(b * Float64(Float64(t * i) - Float64(z * c)))
	t_4 = Float64(t_2 + Float64(Float64(x * t_1) + t_3))
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(Float64(y * Float64(x * z)) + t_2) + Float64(t * Float64(Float64(b * i) - Float64(x * a)))) - Float64(c * Float64(z * b)));
	elseif (t_4 <= 5e+307)
		tmp = Float64(t_2 + Float64(fma(x, t_1, Float64(fma(Float64(-a), t, Float64(t * a)) * Float64(x + x))) + t_3));
	else
		tmp = Float64(Float64(i * Float64(Float64(t * b) - Float64(y * j))) + Float64(c * Float64(Float64(a * j) - Float64(z * b))));
	end
	return tmp
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t$95$2 + N[(N[(x * t$95$1), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(N[(N[(N[(y * N[(x * z), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision] + N[(t * N[(N[(b * i), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 5e+307], N[(t$95$2 + N[(N[(x * t$95$1 + N[(N[((-a) * t + N[(t * a), $MachinePrecision]), $MachinePrecision] * N[(x + x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], N[(N[(i * N[(N[(t * b), $MachinePrecision] - N[(y * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(a * j), $MachinePrecision] - N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	80.8%
Target	68.5%
Herbie	91.4%

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

Derivation

1. Split input into 3 regimes

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

   1. Initial program 0.0%

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

   2. Simplified 0.0%

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

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

   3. Taylor expanded in t around -inf 53.8%

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

   if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < 5e307

   1. Initial program 98.8%

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

   2. Simplified 98.8%

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

      [Start] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \color{blue}{\left(c \cdot a + \left(-y \cdot i\right)\right)} \]
      distribute-rgt-in [=>] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + \left(-y \cdot i\right) \cdot j\right)} \]
      associate-+r+ [=>] 98.8	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \left(-y \cdot i\right) \cdot j} \]
      *-commutative [=>] 98.8	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \color{blue}{j \cdot \left(-y \cdot i\right)} \]
      cancel-sign-sub [<=] 98.8	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) - \left(-j\right) \cdot \left(-y \cdot i\right)} \]
      associate-+r- [<=] 98.8	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [=>] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right) \]
      cancel-sign-sub [=>] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + j \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [<=] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j + \color{blue}{\left(-y \cdot i\right) \cdot j}\right) \]
      distribute-rgt-in [<=] 98.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{j \cdot \left(c \cdot a + \left(-y \cdot i\right)\right)} \]

   3. Applied egg-rr 98.8%

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

   4. Simplified 98.8%

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

      [Start] 98.8	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) + \left(x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right) + x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right)\right)\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-lft-out [=>] 98.8	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) + \color{blue}{x \cdot \left(\mathsf{fma}\left(-a, t, t \cdot a\right) + \mathsf{fma}\left(-a, t, t \cdot a\right)\right)}\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-rgt-out [<=] 98.8	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) + \color{blue}{\left(\mathsf{fma}\left(-a, t, t \cdot a\right) \cdot x + \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot x\right)}\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      fma-def [=>] 98.8	\[ \left(\color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot x + \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot x\right)} - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.8	\[ \left(\mathsf{fma}\left(x, y \cdot z - \color{blue}{a \cdot t}, \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot x + \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot x\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-lft-out [=>] 98.8	\[ \left(\mathsf{fma}\left(x, y \cdot z - a \cdot t, \color{blue}{\mathsf{fma}\left(-a, t, t \cdot a\right) \cdot \left(x + x\right)}\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.8	\[ \left(\mathsf{fma}\left(x, y \cdot z - a \cdot t, \mathsf{fma}\left(-a, t, \color{blue}{a \cdot t}\right) \cdot \left(x + x\right)\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]

   if 5e307 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))

   1. Initial program 1.0%

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

   2. Simplified 1.0%

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

      [Start] 1.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      +-commutative [=>] 1.0	\[ \color{blue}{j \cdot \left(c \cdot a - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right)} \]
      fma-def [=>] 1.0	\[ \color{blue}{\mathsf{fma}\left(j, c \cdot a - y \cdot i, x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right)} \]
      *-commutative [=>] 1.0	\[ \mathsf{fma}\left(j, \color{blue}{a \cdot c} - y \cdot i, x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) \]
      *-commutative [=>] 1.0	\[ \mathsf{fma}\left(j, a \cdot c - y \cdot i, x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - t \cdot i\right)\right) \]

   3. Taylor expanded in x around 0 8.9%

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

   4. Simplified 8.9%

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

      [Start] 8.9	\[ \left(c \cdot a - i \cdot y\right) \cdot j - \left(c \cdot z - i \cdot t\right) \cdot b \]
      sub-neg [=>] 8.9	\[ \color{blue}{\left(c \cdot a - i \cdot y\right) \cdot j + \left(-\left(c \cdot z - i \cdot t\right) \cdot b\right)} \]
      *-commutative [=>] 8.9	\[ \color{blue}{j \cdot \left(c \cdot a - i \cdot y\right)} + \left(-\left(c \cdot z - i \cdot t\right) \cdot b\right) \]
      *-commutative [=>] 8.9	\[ j \cdot \left(\color{blue}{a \cdot c} - i \cdot y\right) + \left(-\left(c \cdot z - i \cdot t\right) \cdot b\right) \]
      *-commutative [=>] 8.9	\[ j \cdot \left(a \cdot c - \color{blue}{y \cdot i}\right) + \left(-\left(c \cdot z - i \cdot t\right) \cdot b\right) \]
      distribute-rgt-neg-out [<=] 8.9	\[ j \cdot \left(a \cdot c - y \cdot i\right) + \color{blue}{\left(c \cdot z - i \cdot t\right) \cdot \left(-b\right)} \]
      +-commutative [=>] 8.9	\[ \color{blue}{\left(c \cdot z - i \cdot t\right) \cdot \left(-b\right) + j \cdot \left(a \cdot c - y \cdot i\right)} \]
      distribute-rgt-neg-out [=>] 8.9	\[ \color{blue}{\left(-\left(c \cdot z - i \cdot t\right) \cdot b\right)} + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-lft-neg-in [=>] 8.9	\[ \color{blue}{\left(-\left(c \cdot z - i \cdot t\right)\right) \cdot b} + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [=>] 8.9	\[ \color{blue}{b \cdot \left(-\left(c \cdot z - i \cdot t\right)\right)} + j \cdot \left(a \cdot c - y \cdot i\right) \]
      fma-udef [<=] 8.9	\[ \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - i \cdot t\right), j \cdot \left(a \cdot c - y \cdot i\right)\right)} \]
      neg-sub0 [=>] 8.9	\[ \mathsf{fma}\left(b, \color{blue}{0 - \left(c \cdot z - i \cdot t\right)}, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]
      associate--r- [=>] 8.9	\[ \mathsf{fma}\left(b, \color{blue}{\left(0 - c \cdot z\right) + i \cdot t}, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]
      neg-sub0 [<=] 8.9	\[ \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right)} + i \cdot t, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]
      +-commutative [<=] 8.9	\[ \mathsf{fma}\left(b, \color{blue}{i \cdot t + \left(-c \cdot z\right)}, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]
      sub-neg [<=] 8.9	\[ \mathsf{fma}\left(b, \color{blue}{i \cdot t - c \cdot z}, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]
      *-commutative [=>] 8.9	\[ \mathsf{fma}\left(b, i \cdot t - \color{blue}{z \cdot c}, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]
      *-commutative [=>] 8.9	\[ \mathsf{fma}\left(b, \color{blue}{t \cdot i} - z \cdot c, j \cdot \left(a \cdot c - y \cdot i\right)\right) \]

   5. Taylor expanded in c around -inf 59.5%

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

   6. Simplified 61.9%

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

      [Start] 59.5	\[ i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right)\right) \]
      associate-+r+ [=>] 59.5	\[ \color{blue}{\left(i \cdot \left(t \cdot b\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right)} \]
      *-commutative [=>] 59.5	\[ \left(i \cdot \left(t \cdot b\right) + -1 \cdot \left(y \cdot \color{blue}{\left(j \cdot i\right)}\right)\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*r* [=>] 61.9	\[ \left(i \cdot \left(t \cdot b\right) + -1 \cdot \color{blue}{\left(\left(y \cdot j\right) \cdot i\right)}\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*l* [<=] 61.9	\[ \left(i \cdot \left(t \cdot b\right) + \color{blue}{\left(-1 \cdot \left(y \cdot j\right)\right) \cdot i}\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 61.9	\[ \left(\color{blue}{\left(t \cdot b\right) \cdot i} + \left(-1 \cdot \left(y \cdot j\right)\right) \cdot i\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right) \]
      distribute-rgt-in [<=] 61.9	\[ \color{blue}{i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right)} + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right) \]
      mul-1-neg [=>] 61.9	\[ i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + \color{blue}{\left(-c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right)} \]
      unsub-neg [=>] 61.9	\[ \color{blue}{i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) - c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)} \]
      mul-1-neg [=>] 61.9	\[ i \cdot \left(t \cdot b + \color{blue}{\left(-y \cdot j\right)}\right) - c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right) \]
      unsub-neg [=>] 61.9	\[ i \cdot \color{blue}{\left(t \cdot b - y \cdot j\right)} - c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right) \]
      mul-1-neg [=>] 61.9	\[ i \cdot \left(t \cdot b - y \cdot j\right) - c \cdot \left(z \cdot b + \color{blue}{\left(-a \cdot j\right)}\right) \]
      unsub-neg [=>] 61.9	\[ i \cdot \left(t \cdot b - y \cdot j\right) - c \cdot \color{blue}{\left(z \cdot b - a \cdot j\right)} \]

3. Recombined 3 regimes into one program.

4. Final simplification 91.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq -\infty:\\ \;\;\;\;\left(\left(y \cdot \left(x \cdot z\right) + j \cdot \left(a \cdot c - y \cdot i\right)\right) + t \cdot \left(b \cdot i - x \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq 5 \cdot 10^{+307}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(\mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot \left(x + x\right)\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	91.4%
Cost	11976

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := a \cdot c - y \cdot i\\ t_3 := j \cdot t_2\\ t_4 := t_3 + t_1\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;\left(\left(y \cdot \left(x \cdot z\right) + t_3\right) + t \cdot \left(b \cdot i - x \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{+307}:\\ \;\;\;\;\mathsf{fma}\left(j, t_2, t_1\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternative 2
Accuracy	90.1%
Cost	5832

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + t_1\\ \mathbf{if}\;t_3 \leq -1 \cdot 10^{+308}:\\ \;\;\;\;t_2 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t_3 \leq 5 \cdot 10^{+307}:\\ \;\;\;\;t_1 + \left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternative 3
Accuracy	91.4%
Cost	5832

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + t_1\\ \mathbf{if}\;t_3 \leq -1 \cdot 10^{+308}:\\ \;\;\;\;\left(\left(y \cdot \left(x \cdot z\right) + t_2\right) + t \cdot \left(b \cdot i - x \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;t_3 \leq 5 \cdot 10^{+307}:\\ \;\;\;\;t_1 + \left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternative 4
Accuracy	90.1%
Cost	5704

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+307}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternative 5
Accuracy	51.0%
Cost	2932

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;x \leq -4.6 \cdot 10^{+198}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{+121}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.45 \cdot 10^{+60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-115}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.65 \cdot 10^{-198}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq -2.4 \cdot 10^{-240}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq -1.95 \cdot 10^{-292}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ \mathbf{elif}\;x \leq -1.65 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-206}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 7.6 \cdot 10^{-137}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{-103}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 9 \cdot 10^{-42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+122}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 6
Accuracy	57.4%
Cost	2536

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(y \cdot i - a \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) - t_2\\ \mathbf{if}\;x \leq -1.6 \cdot 10^{+45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.65 \cdot 10^{-198}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq -4 \cdot 10^{-240}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq -7.2 \cdot 10^{-283}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - t_2\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-206}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-137}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq 1.04 \cdot 10^{-103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 7.4 \cdot 10^{-42}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;x \leq 8.1 \cdot 10^{+148}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 7
Accuracy	36.6%
Cost	2292

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_6 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;j \leq -1.6 \cdot 10^{+70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -4.9 \cdot 10^{-49}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.45 \cdot 10^{-103}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -2.75 \cdot 10^{-121}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-293}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 5.2 \cdot 10^{-202}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;j \leq 6.8 \cdot 10^{-116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.22 \cdot 10^{-93}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 6.6 \cdot 10^{-88}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.58 \cdot 10^{-55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.16 \cdot 10^{+78}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 8
Accuracy	48.1%
Cost	2281

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;x \leq -6 \cdot 10^{+59}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -4.6 \cdot 10^{-129}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.65 \cdot 10^{-198}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq -6.4 \cdot 10^{-240}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-303}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.06 \cdot 10^{-128}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-26}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;x \leq 4.15 \cdot 10^{+15} \lor \neg \left(x \leq 4.8 \cdot 10^{+124}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) + t_2\\ \end{array} \]

Alternative 9
Accuracy	62.3%
Cost	2272

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right) + t_3\\ \mathbf{if}\;i \leq -1.8 \cdot 10^{+65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -3.7 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-33}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -7.8 \cdot 10^{-73}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.9 \cdot 10^{-172}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.36 \cdot 10^{-244}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 8 \cdot 10^{-34}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 10
Accuracy	40.3%
Cost	2028

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -3.8 \cdot 10^{+66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -5.6 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq -2.7 \cdot 10^{-66}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{-102}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq -1.25 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -2.35 \cdot 10^{-262}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -5.2 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 10^{-256}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 3.7 \cdot 10^{-117}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+78}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Accuracy	44.8%
Cost	2016

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := c \cdot j - x \cdot t\\ \mathbf{if}\;a \leq -1.56 \cdot 10^{+63}:\\ \;\;\;\;a \cdot t_4\\ \mathbf{elif}\;a \leq -8.4 \cdot 10^{-109}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-232}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.6 \cdot 10^{-122}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.35 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.55 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.55 \cdot 10^{+109}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{\frac{1}{t_4}}\\ \end{array} \]

Alternative 12
Accuracy	50.5%
Cost	2016

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := c \cdot j - x \cdot t\\ \mathbf{if}\;a \leq -5.1 \cdot 10^{+28}:\\ \;\;\;\;a \cdot t_3\\ \mathbf{elif}\;a \leq -1.66 \cdot 10^{-75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.35 \cdot 10^{-294}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - t_2\\ \mathbf{elif}\;a \leq 1.95 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-141}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) - t_2\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-130}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{-42}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) - t_2\\ \mathbf{elif}\;a \leq 8.6 \cdot 10^{-8}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+111}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{\frac{1}{t_3}}\\ \end{array} \]

Alternative 13
Accuracy	66.9%
Cost	2008

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ \mathbf{if}\;j \leq -1.85 \cdot 10^{+78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -6.2 \cdot 10^{-121}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{-72}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{+35}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.25 \cdot 10^{+78}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{+171}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 14
Accuracy	40.1%
Cost	1892

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -2.65 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.68 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{-65}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -3.6 \cdot 10^{-102}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-260}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;j \leq -2.2 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 8.6 \cdot 10^{-220}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;j \leq 1.2 \cdot 10^{+78}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Accuracy	40.0%
Cost	1892

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -3.3 \cdot 10^{+66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq -5.2 \cdot 10^{-65}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -1.05 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-113}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-212}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;j \leq -2.2 \cdot 10^{-238}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;j \leq 1.22 \cdot 10^{-219}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{+78}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 16
Accuracy	21.8%
Cost	1836

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot \left(-c\right)\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;y \leq -5 \cdot 10^{+56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{-40}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-148}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -6.4 \cdot 10^{-276}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq -5.6 \cdot 10^{-308}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-190}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{+54}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{+119}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+155}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 17
Accuracy	21.6%
Cost	1836

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := b \cdot \left(z \cdot \left(-c\right)\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;a \leq -4.4 \cdot 10^{+62}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \mathbf{elif}\;a \leq -4 \cdot 10^{-56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7.4 \cdot 10^{-91}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.5 \cdot 10^{-240}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(-y\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2.05 \cdot 10^{-295}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-271}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-160}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.65 \cdot 10^{-108}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{+163}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 18
Accuracy	33.8%
Cost	1764

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;a \leq -5.1 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-99}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -2.25 \cdot 10^{-240}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(-y\right)\\ \mathbf{elif}\;a \leq -2.15 \cdot 10^{-257}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;a \leq 2.55 \cdot 10^{-262}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.35 \cdot 10^{-216}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-150}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 10^{-129}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-74}:\\ \;\;\;\;\left(z \cdot b\right) \cdot \left(-c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 19
Accuracy	40.7%
Cost	1764

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -6.5 \cdot 10^{+31}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -7.5 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-297}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-269}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;a \leq 4.5 \cdot 10^{-217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-122}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{-69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.65 \cdot 10^{+44}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 20
Accuracy	41.2%
Cost	1764

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -2.4 \cdot 10^{+29}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.8 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-297}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-269}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;a \leq 1.36 \cdot 10^{-217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3 \cdot 10^{-126}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-5}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 21
Accuracy	40.2%
Cost	1764

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -1.4 \cdot 10^{+68}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -4.9 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{-65}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq -1.1 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -6.5 \cdot 10^{-260}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.45 \cdot 10^{-216}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;j \leq 1.2 \cdot 10^{+78}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 22
Accuracy	47.1%
Cost	1752

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;j \leq -5 \cdot 10^{-15}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-229}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{-222}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-133}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{-120}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;j \leq 1.1 \cdot 10^{+70}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 23
Accuracy	51.2%
Cost	1752

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := i \cdot \left(t \cdot b\right) - j \cdot \left(y \cdot i - a \cdot c\right)\\ \mathbf{if}\;j \leq -4.2 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{-189}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.5 \cdot 10^{-148}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;j \leq 8.5 \cdot 10^{-116}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+68}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 24
Accuracy	21.7%
Cost	1704

\[\begin{array}{l} t_1 := \left(z \cdot b\right) \cdot \left(-c\right)\\ t_2 := \left(i \cdot j\right) \cdot \left(-y\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;i \leq -48000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.55 \cdot 10^{-126}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;i \leq -4.4 \cdot 10^{-206}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.85 \cdot 10^{-250}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;i \leq -7 \cdot 10^{-281}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;i \leq -4.4 \cdot 10^{-304}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \mathbf{elif}\;i \leq 1.42 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6 \cdot 10^{-126}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;i \leq 5 \cdot 10^{-51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.4 \cdot 10^{-20}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 25
Accuracy	39.9%
Cost	1632

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -8.2 \cdot 10^{+30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.45 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -6.8 \cdot 10^{-87}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -6 \cdot 10^{-99}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-161}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(-y\right)\\ \mathbf{elif}\;a \leq 5.7 \cdot 10^{-123}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 8 \cdot 10^{-5}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 26
Accuracy	21.5%
Cost	1376

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;a \leq -2.25 \cdot 10^{+63}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \mathbf{elif}\;a \leq -1.4 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7.9 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -4.8 \cdot 10^{-288}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{-269}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-218}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-134}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+115}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 27
Accuracy	34.2%
Cost	1368

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -9.3 \cdot 10^{-94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{-262}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(-y\right)\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-269}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;a \leq 9.6 \cdot 10^{-160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{-108}:\\ \;\;\;\;z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{elif}\;a \leq 1.18 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Accuracy	20.4%
Cost	1245

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+27}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;c \leq -8.2 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -2.1 \cdot 10^{-140}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-243}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.66 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{-95} \lor \neg \left(c \leq 1.25 \cdot 10^{+148}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 29
Accuracy	22.0%
Cost	1112

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;a \leq -2.06 \cdot 10^{-35}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-288}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-269}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{+112}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Accuracy	21.0%
Cost	717

\[\begin{array}{l} \mathbf{if}\;c \leq -1.32:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{-95} \lor \neg \left(c \leq 5.8 \cdot 10^{+146}\right):\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 31
Accuracy	16.3%
Cost	320

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

Reproduce

herbie shell --seed 2023141 
(FPCore (x y z t a b c i j)
  :name "Data.Colour.Matrix:determinant from colour-2.3.3, A"
  :precision binary64

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

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