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

Average Accuracy: 80.4% → 86.7%

Time: 1.1min

Precision: binary64

Cost: 18249

Math

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

↓

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

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 (* x t_1))
        (t_3 (* j (- (* a c) (* y i))))
        (t_4 (+ (- t_2 (* b (- (* z c) (* t i)))) t_3)))
   (if (or (<= t_4 (- INFINITY)) (not (<= t_4 INFINITY)))
     (- (+ (+ t_2 (* c (* a j))) (* i (- (* t b) (* y j)))) (* c (* z b)))
     (fma x t_1 (fma b (- (* t i) (* z c)) t_3)))))

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 = x * t_1;
	double t_3 = j * ((a * c) - (y * i));
	double t_4 = (t_2 - (b * ((z * c) - (t * i)))) + t_3;
	double tmp;
	if ((t_4 <= -((double) INFINITY)) || !(t_4 <= ((double) INFINITY))) {
		tmp = ((t_2 + (c * (a * j))) + (i * ((t * b) - (y * j)))) - (c * (z * b));
	} else {
		tmp = fma(x, t_1, fma(b, ((t * i) - (z * c)), t_3));
	}
	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(x * t_1)
	t_3 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_4 = Float64(Float64(t_2 - Float64(b * Float64(Float64(z * c) - Float64(t * i)))) + t_3)
	tmp = 0.0
	if ((t_4 <= Float64(-Inf)) || !(t_4 <= Inf))
		tmp = Float64(Float64(Float64(t_2 + Float64(c * Float64(a * j))) + Float64(i * Float64(Float64(t * b) - Float64(y * j)))) - Float64(c * Float64(z * b)));
	else
		tmp = fma(x, t_1, fma(b, Float64(Float64(t * i) - Float64(z * c)), t_3));
	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[(x * t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t$95$2 - N[(b * N[(N[(z * c), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]}, If[Or[LessEqual[t$95$4, (-Infinity)], N[Not[LessEqual[t$95$4, Infinity]], $MachinePrecision]], N[(N[(N[(t$95$2 + N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(t * b), $MachinePrecision] - N[(y * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * t$95$1 + N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	80.4%
Target	67.8%
Herbie	86.7%

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

Derivation

1. Split input into 2 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 or +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))))

   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 i around -inf 62.7%

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

   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)))) < +inf.0

   1. Initial program 89.4%

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

   2. Simplified 89.4%

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

      [Start] 89.4	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 89.4	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 89.4	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 89.4	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

3. Recombined 2 regimes into one program.

4. Final simplification 86.7%

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

Alternatives

Alternative 1
Accuracy	86.7%
Cost	5833

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

Alternative 2
Accuracy	83.7%
Cost	5832

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

Alternative 3
Accuracy	83.7%
Cost	5704

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

Alternative 4
Accuracy	58.7%
Cost	2800

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := b \cdot \left(z \cdot c - t \cdot i\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right) - t_2\\ t_4 := \left(c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\right) - t_2\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right) - t_2\\ \mathbf{if}\;t \leq -1.2 \cdot 10^{-32}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -4.1 \cdot 10^{-115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1 \cdot 10^{-131}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{-182}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -8.6 \cdot 10^{-196}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - t_2\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{-251}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-238}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-210}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-166}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 8 \cdot 10^{-110}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{+38}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{+199}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \end{array} \]

Alternative 5
Accuracy	40.1%
Cost	2676

\[\begin{array}{l} t_1 := a \cdot c - y \cdot i\\ t_2 := j \cdot t_1\\ t_3 := b \cdot \left(z \cdot c - t \cdot i\right)\\ t_4 := \frac{j}{\frac{1}{t_1}}\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := z \cdot \left(x \cdot y\right) - t_3\\ \mathbf{if}\;z \leq -5.4 \cdot 10^{+97}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.65 \cdot 10^{-37}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;z \leq -6.6 \cdot 10^{-75}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.86 \cdot 10^{-93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{-306}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-150}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{-83}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 4.1 \cdot 10^{-48}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-26}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 0.0048:\\ \;\;\;\;j \cdot \left(a \cdot c\right) - t_3\\ \mathbf{elif}\;z \leq 28:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{+46}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 8 \cdot 10^{+100}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 6
Accuracy	45.1%
Cost	2544

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -6.2 \cdot 10^{+60}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.7 \cdot 10^{-44}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -2.05 \cdot 10^{-111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{-149}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{-172}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -6.6 \cdot 10^{-188}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.06 \cdot 10^{-274}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq 1.08 \cdot 10^{-240}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{-209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.38 \cdot 10^{-21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{+142}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Accuracy	66.2%
Cost	2520

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - t \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right) - t_1\\ t_3 := \left(\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;z \leq -1 \cdot 10^{+88}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-76}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{-145}:\\ \;\;\;\;\left(c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\right) - t_1\\ \mathbf{elif}\;z \leq -6 \cdot 10^{-274}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.3 \cdot 10^{-304}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq 3.9 \cdot 10^{+101}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 8
Accuracy	59.5%
Cost	2404

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - t \cdot i\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right) - t_1\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -1.8 \cdot 10^{+177}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{+86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{+16}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.52 \cdot 10^{-164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.75 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{+111}:\\ \;\;\;\;j \cdot \left(a \cdot c\right) - t_1\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{+138}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 9
Accuracy	61.2%
Cost	2272

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - t \cdot i\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right) - t_1\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -6.2 \cdot 10^{+182}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;i \leq -1.85 \cdot 10^{+87}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{+16}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.95 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{-164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 4 \cdot 10^{-76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.3 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{+124}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) - t_1\\ \mathbf{elif}\;i \leq 7 \cdot 10^{+135}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 10
Accuracy	20.2%
Cost	2036

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z\right)\\ t_4 := a \cdot \left(c \cdot j\right)\\ t_5 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -1.4 \cdot 10^{+72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-136}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5 \cdot 10^{-288}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-292}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-207}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{-116}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{+25}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.45 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{+136}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 2.8 \cdot 10^{+142}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Accuracy	31.1%
Cost	2028

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;z \leq -1.9 \cdot 10^{+95}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -3.1 \cdot 10^{-99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{-293}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.2 \cdot 10^{-202}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-129}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-19}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{+138}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+204}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 12
Accuracy	37.2%
Cost	2028

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;b \leq -2 \cdot 10^{+143}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -8.2 \cdot 10^{+32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -0.0124:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -5.2 \cdot 10^{-195}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;b \leq 3.1 \cdot 10^{-285}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.72 \cdot 10^{-267}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{-205}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-16}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 8 \cdot 10^{+50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 7.6 \cdot 10^{+74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{+98}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 13
Accuracy	54.6%
Cost	2008

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;z \leq -8.5 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-245}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-304}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-229}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-157}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{+78}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Accuracy	22.8%
Cost	1968

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i\right)\\ t_2 := a \cdot \left(-x \cdot t\right)\\ t_3 := \left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{if}\;a \leq -1.6 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-12}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;a \leq -1.8 \cdot 10^{-26}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -9 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.8 \cdot 10^{-96}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -8.5 \cdot 10^{-119}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;a \leq -9.8 \cdot 10^{-287}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{-32}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{-25}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{+192}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 15
Accuracy	41.9%
Cost	1896

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -2.3 \cdot 10^{+46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -4.5 \cdot 10^{-111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.3 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.45 \cdot 10^{-272}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 22000000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+42}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{+44}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 16
Accuracy	41.3%
Cost	1896

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;z \leq -2.75 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-39}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-306}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-149}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-82}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{-47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-19}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{+74}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 17
Accuracy	41.4%
Cost	1896

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;z \leq -4.5 \cdot 10^{+91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-37}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;z \leq -6.4 \cdot 10^{-58}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.9 \cdot 10^{-93}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-306}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-157}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{-82}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.42 \cdot 10^{-47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{-19}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{+69}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 18
Accuracy	41.3%
Cost	1896

\[\begin{array}{l} t_1 := a \cdot c - y \cdot i\\ t_2 := j \cdot t_1\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;z \leq -1.42 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.75 \cdot 10^{-40}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-62}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.9 \cdot 10^{-307}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-157}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{-82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-47}:\\ \;\;\;\;\frac{j}{\frac{1}{t_1}}\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-20}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 6.7 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Accuracy	41.6%
Cost	1896

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := a \cdot c - y \cdot i\\ t_3 := j \cdot t_2\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.66 \cdot 10^{+89}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-41}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{-57}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq -6.8 \cdot 10^{-93}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 10^{-154}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-47}:\\ \;\;\;\;\frac{j}{\frac{1}{t_2}}\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-20}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 2.55 \cdot 10^{+69}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 20
Accuracy	41.4%
Cost	1896

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := a \cdot c - y \cdot i\\ t_4 := j \cdot t_3\\ \mathbf{if}\;z \leq -5.1 \cdot 10^{+91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-42}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;z \leq -6.6 \cdot 10^{-75}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.72 \cdot 10^{-93}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-156}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-48}:\\ \;\;\;\;\frac{j}{\frac{1}{t_3}}\\ \mathbf{elif}\;z \leq 10^{-20}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{+76}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 21
Accuracy	41.5%
Cost	1896

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := a \cdot c - y \cdot i\\ t_4 := j \cdot t_3\\ \mathbf{if}\;z \leq -7.4 \cdot 10^{+92}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.75 \cdot 10^{-40}:\\ \;\;\;\;\frac{a}{\frac{1}{c \cdot j - x \cdot t}}\\ \mathbf{elif}\;z \leq -3.9 \cdot 10^{-75}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-93}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.35 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-157}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{-46}:\\ \;\;\;\;\frac{j}{\frac{1}{t_3}}\\ \mathbf{elif}\;z \leq 1.18 \cdot 10^{-20}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{+72}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 22
Accuracy	20.8%
Cost	1837

\[\begin{array}{l} t_1 := t \cdot \left(x \cdot \left(-a\right)\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;z \leq -1.25 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.45 \cdot 10^{-132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-286}:\\ \;\;\;\;a \cdot \left(-x \cdot t\right)\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-175}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 10^{-57}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{-46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-19}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.2 \cdot 10^{+137} \lor \neg \left(z \leq 4.9 \cdot 10^{+204}\right):\\ \;\;\;\;\left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 23
Accuracy	20.8%
Cost	1837

\[\begin{array}{l} t_1 := t \cdot \left(x \cdot \left(-a\right)\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;z \leq -5.4 \cdot 10^{+88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-130}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-285}:\\ \;\;\;\;a \cdot \left(-x \cdot t\right)\\ \mathbf{elif}\;z \leq 7 \cdot 10^{-175}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-57}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-19}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 10^{+138} \lor \neg \left(z \leq 4.9 \cdot 10^{+204}\right):\\ \;\;\;\;\left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 24
Accuracy	22.1%
Cost	1836

\[\begin{array}{l} t_1 := y \cdot \left(j \cdot \left(-i\right)\right)\\ t_2 := a \cdot \left(-x \cdot t\right)\\ \mathbf{if}\;a \leq -7.5 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-12}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;a \leq -1.46 \cdot 10^{-26}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{-54}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -6.6 \cdot 10^{-96}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{-118}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-289}:\\ \;\;\;\;\left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-95}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-45}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+193}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 25
Accuracy	31.0%
Cost	1368

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;z \leq -1.48 \cdot 10^{+97}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -5 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-129}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 7 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{+138}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 3.9 \cdot 10^{+204}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 26
Accuracy	20.9%
Cost	1308

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := \left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{if}\;b \leq -1.42 \cdot 10^{+196}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.85 \cdot 10^{+69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-28}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -7.4 \cdot 10^{-112}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;b \leq 1.88 \cdot 10^{-112}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 4.7 \cdot 10^{+132}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Accuracy	30.9%
Cost	1236

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := \left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{if}\;b \leq -1 \cdot 10^{+196}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.05 \cdot 10^{+93}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 4.1 \cdot 10^{-17}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{+132}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Accuracy	41.0%
Cost	1104

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -1.8 \cdot 10^{-87}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 5.4 \cdot 10^{-291}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.5 \cdot 10^{-239}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;i \leq 9.2 \cdot 10^{+75}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 29
Accuracy	21.3%
Cost	980

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -5.1 \cdot 10^{+45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{-160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{+70}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Accuracy	21.1%
Cost	848

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;a \leq -2.1 \cdot 10^{-28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 5.6 \cdot 10^{-156}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+28}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq 5.5 \cdot 10^{+88}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 31
Accuracy	21.3%
Cost	585

\[\begin{array}{l} \mathbf{if}\;a \leq -8.5 \cdot 10^{-100} \lor \neg \left(a \leq 5.7 \cdot 10^{-70}\right):\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \end{array} \]

Alternative 32
Accuracy	22.4%
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -6.4 \cdot 10^{+25} \lor \neg \left(c \leq 6.6 \cdot 10^{-36}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \end{array} \]

Alternative 33
Accuracy	15.8%
Cost	320

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

Reproduce

herbie shell --seed 2023137 
(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)))))