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

Average Accuracy: 81.0% → 90.4%

Time: 1.2min

Precision: binary64

Cost: 18248

Math

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

↓

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

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

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 = j * ((a * c) - (y * i));
	double t_2 = (y * z) - (t * a);
	double t_3 = ((x * t_2) - (b * ((z * c) - (t * i)))) + t_1;
	double tmp;
	if (t_3 <= -((double) INFINITY)) {
		tmp = ((y * (x * z)) + (c * (a * j))) - (a * (x * t));
	} else if (t_3 <= 5e+307) {
		tmp = fma(x, t_2, fma(b, ((t * i) - (z * c)), t_1));
	} else {
		tmp = (a * ((c * j) - (x * t))) + (y * ((x * z) - (i * j)));
	}
	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(j * Float64(Float64(a * c) - Float64(y * i)))
	t_2 = Float64(Float64(y * z) - Float64(t * a))
	t_3 = Float64(Float64(Float64(x * t_2) - Float64(b * Float64(Float64(z * c) - Float64(t * i)))) + t_1)
	tmp = 0.0
	if (t_3 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(y * Float64(x * z)) + Float64(c * Float64(a * j))) - Float64(a * Float64(x * t)));
	elseif (t_3 <= 5e+307)
		tmp = fma(x, t_2, fma(b, Float64(Float64(t * i) - Float64(z * c)), t_1));
	else
		tmp = Float64(Float64(a * Float64(Float64(c * j) - Float64(x * t))) + Float64(y * Float64(Float64(x * z) - Float64(i * j))));
	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[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(x * t$95$2), $MachinePrecision] - N[(b * N[(N[(z * c), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]}, If[LessEqual[t$95$3, (-Infinity)], N[(N[(N[(y * N[(x * z), $MachinePrecision]), $MachinePrecision] + N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$3, 5e+307], N[(x * t$95$2 + N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], N[(N[(a * N[(N[(c * j), $MachinePrecision] - N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(x * z), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	81.0%
Target	69.4%
Herbie	90.4%

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

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%

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

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

   3. Taylor expanded in b around 0 10.3%

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

   4. Taylor expanded in z around 0 36.2%

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

   5. Taylor expanded in c around inf 43.4%

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

   6. Simplified 43.4%

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

      [Start] 43.4	\[ -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(y \cdot \left(z \cdot x\right) + c \cdot \left(a \cdot j\right)\right) \]
      *-commutative [=>] 43.4	\[ -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + \left(y \cdot \left(z \cdot x\right) + c \cdot \color{blue}{\left(j \cdot a\right)}\right) \]

   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 98.5%

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

   2. Simplified 98.5%

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

      [Start] 98.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 98.5	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 98.5	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 98.5	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   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 0.4%

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

   2. Simplified 0.4%

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

      [Start] 0.4	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 0.4	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 0.4	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 0.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in b around 0 8.5%

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

   4. Taylor expanded in a around -inf 60.0%

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

   5. Simplified 60.0%

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

      [Start] 60.0	\[ -1 \cdot \left(a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) \]
      +-commutative [=>] 60.0	\[ \color{blue}{\left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) + -1 \cdot \left(a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right)\right)} \]
      mul-1-neg [=>] 60.0	\[ \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) + \color{blue}{\left(-a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right)\right)} \]
      unsub-neg [=>] 60.0	\[ \color{blue}{\left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right)} \]
      +-commutative [=>] 60.0	\[ \color{blue}{\left(y \cdot \left(z \cdot x\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right)} - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      *-commutative [=>] 60.0	\[ \left(y \cdot \left(z \cdot x\right) + \color{blue}{\left(y \cdot \left(i \cdot j\right)\right) \cdot -1}\right) - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      associate-*l* [=>] 60.0	\[ \left(y \cdot \left(z \cdot x\right) + \color{blue}{y \cdot \left(\left(i \cdot j\right) \cdot -1\right)}\right) - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      *-commutative [<=] 60.0	\[ \left(y \cdot \left(z \cdot x\right) + y \cdot \color{blue}{\left(-1 \cdot \left(i \cdot j\right)\right)}\right) - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      distribute-lft-in [<=] 60.0	\[ \color{blue}{y \cdot \left(z \cdot x + -1 \cdot \left(i \cdot j\right)\right)} - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      mul-1-neg [=>] 60.0	\[ y \cdot \left(z \cdot x + \color{blue}{\left(-i \cdot j\right)}\right) - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      unsub-neg [=>] 60.0	\[ y \cdot \color{blue}{\left(z \cdot x - i \cdot j\right)} - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      *-commutative [=>] 60.0	\[ y \cdot \left(\color{blue}{x \cdot z} - i \cdot j\right) - a \cdot \left(t \cdot x + -1 \cdot \left(c \cdot j\right)\right) \]
      mul-1-neg [=>] 60.0	\[ y \cdot \left(x \cdot z - i \cdot j\right) - a \cdot \left(t \cdot x + \color{blue}{\left(-c \cdot j\right)}\right) \]
      unsub-neg [=>] 60.0	\[ y \cdot \left(x \cdot z - i \cdot j\right) - a \cdot \color{blue}{\left(t \cdot x - c \cdot j\right)} \]

3. Recombined 3 regimes into one program.

4. Final simplification 90.4%

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

Alternatives

Alternative 1
Accuracy	90.4%
Cost	5832

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

Alternative 2
Accuracy	90.4%
Cost	5704

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

Alternative 3
Accuracy	40.9%
Cost	2952

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -1.05 \cdot 10^{+123}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -4 \cdot 10^{+17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-59}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;j \leq -1.05 \cdot 10^{-88}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.3 \cdot 10^{-104}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -9.5 \cdot 10^{-137}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -1.65 \cdot 10^{-174}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -7.8 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.4 \cdot 10^{-288}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 7.2 \cdot 10^{-248}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 7.6 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 4.7 \cdot 10^{-132}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq 1.75 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 9 \cdot 10^{-86}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 9 \cdot 10^{-49}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 6.8 \cdot 10^{+16}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 4
Accuracy	40.9%
Cost	2952

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;j \leq -1.05 \cdot 10^{+123}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -15000000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -4 \cdot 10^{-27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1 \cdot 10^{-58}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;j \leq -1.85 \cdot 10^{-66}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;j \leq -3.1 \cdot 10^{-88}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-102}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{-136}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -2.1 \cdot 10^{-174}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 6.1 \cdot 10^{-288}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 3.2 \cdot 10^{-249}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.1 \cdot 10^{-186}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-132}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq 2.75 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.2 \cdot 10^{-85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 5.2 \cdot 10^{+16}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Accuracy	45.0%
Cost	2940

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z\right)\\ t_3 := t_1 + t \cdot \left(b \cdot i\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_4 - c \cdot \left(z \cdot b\right)\\ t_6 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;a \leq -5.4 \cdot 10^{+98}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;a \leq -1.7 \cdot 10^{+49}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -7.5 \cdot 10^{-115}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -3.6 \cdot 10^{-217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.8 \cdot 10^{-272}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{-291}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{-275}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-242}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-194}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-170}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-66}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+26}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5 \cdot 10^{+151}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4 + j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 6
Accuracy	45.5%
Cost	2940

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + x \cdot \left(y \cdot z\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := t_1 - c \cdot \left(z \cdot b\right)\\ t_6 := y \cdot \left(x \cdot z - i \cdot j\right) - x \cdot \left(t \cdot a\right)\\ t_7 := t_2 + t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;a \leq -4.9 \cdot 10^{+114}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;a \leq -9.2 \cdot 10^{+51}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -1.52 \cdot 10^{+29}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.15 \cdot 10^{-116}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-218}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -3 \cdot 10^{-266}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -5.4 \cdot 10^{-290}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;a \leq 5.6 \cdot 10^{-276}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-242}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 9 \cdot 10^{-194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-181}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.08 \cdot 10^{-106}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-63}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{+26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 5.7 \cdot 10^{+150}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_1 + j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 7
Accuracy	50.0%
Cost	2940

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right) - t_1\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := t_3 + t \cdot \left(b \cdot i\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;y \leq -2.65 \cdot 10^{-43}:\\ \;\;\;\;t_3 + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;y \leq -5.1 \cdot 10^{-151}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -3.4 \cdot 10^{-195}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-242}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -5 \cdot 10^{-283}:\\ \;\;\;\;t_5 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-281}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-271}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{-233}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{-220}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 10^{-203}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-153}:\\ \;\;\;\;t_3 - t_1\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-133}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-106}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-92}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{-54}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - x \cdot \left(t \cdot a\right)\\ \end{array} \]

Alternative 8
Accuracy	50.5%
Cost	2940

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right) - t_1\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := t_3 + t \cdot \left(b \cdot i\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;y \leq -1.85 \cdot 10^{-42}:\\ \;\;\;\;t_3 + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;y \leq -4.7 \cdot 10^{-158}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-193}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.7 \cdot 10^{-243}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -9 \cdot 10^{-284}:\\ \;\;\;\;t_5 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-283}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-270}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-231}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.22 \cdot 10^{-220}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{-204}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{-144}:\\ \;\;\;\;t_3 - t_1\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-133}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-105}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{-96}:\\ \;\;\;\;t_5 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{-53}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - x \cdot \left(t \cdot a\right)\\ \end{array} \]

Alternative 9
Accuracy	44.0%
Cost	2676

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z\right)\\ t_3 := t_1 + t \cdot \left(b \cdot i\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ t_5 := c \cdot j - x \cdot t\\ \mathbf{if}\;a \leq -1.05 \cdot 10^{+99}:\\ \;\;\;\;a \cdot t_5\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{+50}:\\ \;\;\;\;t_4 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;a \leq -10500000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-114}:\\ \;\;\;\;t_4 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-218}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1 \cdot 10^{-272}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-292}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-192}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-171}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 8.6 \cdot 10^{-67}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;a \leq 4.9 \cdot 10^{+26}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.7 \cdot 10^{+150}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{\frac{1}{t_5}}\\ \end{array} \]

Alternative 10
Accuracy	33.1%
Cost	2556

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;b \leq -2.9 \cdot 10^{+14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-202}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.95 \cdot 10^{-206}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{-266}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 8.4 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.75 \cdot 10^{-218}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{-206}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-178}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.6 \cdot 10^{-58}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{+16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 7.6 \cdot 10^{+61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 3.15 \cdot 10^{+136}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 11
Accuracy	33.2%
Cost	2556

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;x \leq -60000000000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.06 \cdot 10^{-47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -8.2 \cdot 10^{-116}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{-224}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.62 \cdot 10^{-174}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 10^{-106}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{-29}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{-8}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-7}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 4.7 \cdot 10^{+18}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{+146}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{+175}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+239}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 12
Accuracy	41.3%
Cost	2545

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + t \cdot \left(b \cdot i\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := t_3 - a \cdot \left(x \cdot t\right)\\ t_5 := t_3 - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;a \leq -2.4 \cdot 10^{+120}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;a \leq -6.2 \cdot 10^{+50}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.46 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -2.4 \cdot 10^{-218}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -3 \cdot 10^{-266}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -1.18 \cdot 10^{-290}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-285}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.35 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 7.2 \cdot 10^{-79}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-8} \lor \neg \left(a \leq 2.65 \cdot 10^{+20}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 13
Accuracy	51.1%
Cost	2412

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 - a \cdot \left(x \cdot t\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_1 + t \cdot \left(b \cdot i\right)\\ t_6 := t_4 - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;x \leq -1.25 \cdot 10^{-28}:\\ \;\;\;\;t_4 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;x \leq -1.12 \cdot 10^{-82}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.55 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 5 \cdot 10^{-307}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-174}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{-131}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq 2.4 \cdot 10^{-48}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.95 \cdot 10^{-12}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 6.6 \cdot 10^{+18}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+80}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 14
Accuracy	67.4%
Cost	2392

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - a \cdot \left(x \cdot t\right)\\ t_3 := b \cdot \left(z \cdot c - t \cdot i\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := \left(t_4 - t_3\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;x \leq -8 \cdot 10^{+175}:\\ \;\;\;\;t_4 + t_1\\ \mathbf{elif}\;x \leq -4.3 \cdot 10^{+86}:\\ \;\;\;\;t_4 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-86}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{-216}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-130}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right) - t_3\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 15
Accuracy	40.9%
Cost	2292

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -1.22 \cdot 10^{+123}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -58:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.1 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -6.8 \cdot 10^{-59}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;j \leq -1.25 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-87}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-92}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{-134}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{-142}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-250}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.8 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2 \cdot 10^{-47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.1 \cdot 10^{+17}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 16
Accuracy	53.8%
Cost	2149

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right) - t_1\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;b \leq -6 \cdot 10^{+14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -8.2 \cdot 10^{-252}:\\ \;\;\;\;t_4 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{-194}:\\ \;\;\;\;t_2 + t_5\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-77}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + c \cdot \left(a \cdot j\right)\right) - t_1\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{-56}:\\ \;\;\;\;t_5 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{+54}:\\ \;\;\;\;t_4 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;b \leq 4.2 \cdot 10^{+79}:\\ \;\;\;\;t_2 + t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;b \leq 3.15 \cdot 10^{+136} \lor \neg \left(b \leq 2.5 \cdot 10^{+166}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 17
Accuracy	58.5%
Cost	2141

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ \mathbf{if}\;b \leq -6900000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.1 \cdot 10^{-254}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq 10^{-192}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) + t_1\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-77}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + c \cdot \left(a \cdot j\right)\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;b \leq 4.2 \cdot 10^{-60}:\\ \;\;\;\;t_1 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq 3.15 \cdot 10^{+136} \lor \neg \left(b \leq 2.5 \cdot 10^{+166}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 18
Accuracy	41.1%
Cost	1896

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -4.7 \cdot 10^{-86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-181}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-299}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{-224}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-79}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 1900000000000:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 9 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{+55}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{+92}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Accuracy	49.8%
Cost	1884

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + t \cdot \left(b \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_3 + j \cdot \left(a \cdot c\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -5.4 \cdot 10^{+14}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-171}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.96 \cdot 10^{-255}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.3 \cdot 10^{-139}:\\ \;\;\;\;t_1 + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;z \leq 2.25 \cdot 10^{-78}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 10^{-5}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.02 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 5.7 \cdot 10^{+55} \lor \neg \left(z \leq 1.65 \cdot 10^{+92}\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Accuracy	60.6%
Cost	1877

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ \mathbf{if}\;b \leq -185000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.06 \cdot 10^{-306}:\\ \;\;\;\;t_1 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{+63}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{+136} \lor \neg \left(b \leq 2.5 \cdot 10^{+166}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 21
Accuracy	67.1%
Cost	1877

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ \mathbf{if}\;b \leq -3.6 \cdot 10^{+14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-49}:\\ \;\;\;\;t_1 + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+63}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq 3.15 \cdot 10^{+136} \lor \neg \left(b \leq 2.5 \cdot 10^{+166}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 22
Accuracy	67.3%
Cost	1877

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := t_2 - b \cdot \left(z \cdot c - t \cdot i\right)\\ \mathbf{if}\;b \leq -2300000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 4.7 \cdot 10^{-49}:\\ \;\;\;\;t_1 + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 1.2 \cdot 10^{+65}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq 1.12 \cdot 10^{+136} \lor \neg \left(b \leq 2.7 \cdot 10^{+166}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2 + y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 23
Accuracy	41.8%
Cost	1764

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -3.15 \cdot 10^{-86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -5.1 \cdot 10^{-182}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-224}:\\ \;\;\;\;i \cdot \frac{1}{\frac{1}{t \cdot b - y \cdot j}}\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-80}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 80000000000:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{+92}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Accuracy	24.8%
Cost	1704

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;t \leq -1.5 \cdot 10^{-56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.3 \cdot 10^{-126}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.9 \cdot 10^{-226}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.52 \cdot 10^{-246}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 2.1 \cdot 10^{-199}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-174}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-60}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{+30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 8 \cdot 10^{+95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{+218}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \end{array} \]

Alternative 25
Accuracy	40.0%
Cost	1632

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;i \leq -2.8 \cdot 10^{+34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -7.2 \cdot 10^{-107}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.3 \cdot 10^{-148}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;i \leq -2.65 \cdot 10^{-210}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -3.5 \cdot 10^{-238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{-268}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 1.35 \cdot 10^{-248}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 55000:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 26
Accuracy	22.9%
Cost	1508

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i\right)\\ t_2 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -150:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-177}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq -2.25 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.32 \cdot 10^{-300}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-201}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{-128}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 260000000000:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+37}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Accuracy	35.2%
Cost	1500

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;a \leq -2.3 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -3 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.65 \cdot 10^{-275}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.95 \cdot 10^{-122}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-106}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;a \leq 2.25 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Accuracy	22.7%
Cost	1244

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -75000000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{-174}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-200}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{-130}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 700000000000:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 6.1 \cdot 10^{+37}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 29
Accuracy	22.9%
Cost	1244

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -7200000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.6 \cdot 10^{-173}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-195}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-133}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4800000000000:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{+37}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 30
Accuracy	21.9%
Cost	1176

\[\begin{array}{l} t_1 := t \cdot \left(x \cdot \left(-a\right)\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -8 \cdot 10^{-42}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.05 \cdot 10^{-279}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;y \leq 1.1 \cdot 10^{-278}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;y \leq 10^{-216}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 31
Accuracy	22.5%
Cost	1112

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -1700000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2 \cdot 10^{-153}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-300}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-79}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 750000000000:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{+37}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 32
Accuracy	22.3%
Cost	981

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := b \cdot \left(t \cdot i\right)\\ \mathbf{if}\;b \leq -1.7 \cdot 10^{+45}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5.8 \cdot 10^{-298}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 3 \cdot 10^{-60}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;b \leq 3.15 \cdot 10^{+136} \lor \neg \left(b \leq 2.5 \cdot 10^{+166}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 33
Accuracy	21.6%
Cost	585

\[\begin{array}{l} \mathbf{if}\;b \leq -9 \cdot 10^{-170} \lor \neg \left(b \leq 3.2 \cdot 10^{-57}\right):\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 34
Accuracy	22.5%
Cost	585

\[\begin{array}{l} \mathbf{if}\;b \leq -9.5 \cdot 10^{-110} \lor \neg \left(b \leq 3 \cdot 10^{-60}\right):\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternative 35
Accuracy	16.2%
Cost	320

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

Reproduce

herbie shell --seed 2023133 
(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)))))