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

Average Accuracy: 80.8% → 90.1%

Time: 1.1min

Precision: binary64

Cost: 18248

Math

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

↓

\[\begin{array}{l} t_1 := t \cdot i - z \cdot c\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := y \cdot z - t \cdot a\\ t_4 := \left(x \cdot t_3 + b \cdot t_1\right) + t_2\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t_4 \leq 3 \cdot 10^{+302}:\\ \;\;\;\;\mathsf{fma}\left(x, t_3, \mathsf{fma}\left(b, t_1, t_2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - t \cdot \left(x \cdot a\right)\\ \end{array} \]

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 (- (* t i) (* z c)))
        (t_2 (* j (- (* a c) (* y i))))
        (t_3 (- (* y z) (* t a)))
        (t_4 (+ (+ (* x t_3) (* b t_1)) t_2)))
   (if (<= t_4 (- INFINITY))
     (+ (* c (- (* a j) (* z b))) (* y (- (* x z) (* i j))))
     (if (<= t_4 3e+302)
       (fma x t_3 (fma b t_1 t_2))
       (- (* i (fma t b (* y (- j)))) (* t (* x a)))))))

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 = (t * i) - (z * c);
	double t_2 = j * ((a * c) - (y * i));
	double t_3 = (y * z) - (t * a);
	double t_4 = ((x * t_3) + (b * t_1)) + t_2;
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = (c * ((a * j) - (z * b))) + (y * ((x * z) - (i * j)));
	} else if (t_4 <= 3e+302) {
		tmp = fma(x, t_3, fma(b, t_1, t_2));
	} else {
		tmp = (i * fma(t, b, (y * -j))) - (t * (x * a));
	}
	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(t * i) - Float64(z * c))
	t_2 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_3 = Float64(Float64(y * z) - Float64(t * a))
	t_4 = Float64(Float64(Float64(x * t_3) + Float64(b * t_1)) + t_2)
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(Float64(c * Float64(Float64(a * j) - Float64(z * b))) + Float64(y * Float64(Float64(x * z) - Float64(i * j))));
	elseif (t_4 <= 3e+302)
		tmp = fma(x, t_3, fma(b, t_1, t_2));
	else
		tmp = Float64(Float64(i * fma(t, b, Float64(y * Float64(-j)))) - Float64(t * Float64(x * a)));
	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[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(N[(x * t$95$3), $MachinePrecision] + N[(b * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(N[(c * N[(N[(a * j), $MachinePrecision] - N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(x * z), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 3e+302], N[(x * t$95$3 + N[(b * t$95$1 + t$95$2), $MachinePrecision]), $MachinePrecision], N[(N[(i * N[(t * b + N[(y * (-j)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t * N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	80.8%
Target	67.9%
Herbie	90.1%

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

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 t around 0 31.8%

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

   4. Simplified 37.4%

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

      [Start] 31.8	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(y \cdot \left(z \cdot x\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      associate-+r+ [=>] 31.8	\[ \color{blue}{\left(-1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + y \cdot \left(z \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)} \]
      associate-*r* [=>] 33.9	\[ \left(-1 \cdot \color{blue}{\left(\left(c \cdot b\right) \cdot z\right)} + y \cdot \left(z \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-*r* [=>] 33.9	\[ \left(\color{blue}{\left(-1 \cdot \left(c \cdot b\right)\right) \cdot z} + y \cdot \left(z \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      *-commutative [<=] 33.9	\[ \left(\color{blue}{z \cdot \left(-1 \cdot \left(c \cdot b\right)\right)} + y \cdot \left(z \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      *-commutative [=>] 33.9	\[ \left(z \cdot \left(-1 \cdot \left(c \cdot b\right)\right) + \color{blue}{\left(z \cdot x\right) \cdot y}\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-*r* [<=] 37.4	\[ \left(z \cdot \left(-1 \cdot \left(c \cdot b\right)\right) + \color{blue}{z \cdot \left(x \cdot y\right)}\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      *-commutative [<=] 37.4	\[ \left(z \cdot \left(-1 \cdot \left(c \cdot b\right)\right) + z \cdot \color{blue}{\left(y \cdot x\right)}\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      distribute-lft-in [<=] 37.4	\[ \color{blue}{z \cdot \left(-1 \cdot \left(c \cdot b\right) + y \cdot x\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      +-commutative [<=] 37.4	\[ z \cdot \color{blue}{\left(y \cdot x + -1 \cdot \left(c \cdot b\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      mul-1-neg [=>] 37.4	\[ z \cdot \left(y \cdot x + \color{blue}{\left(-c \cdot b\right)}\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      unsub-neg [=>] 37.4	\[ z \cdot \color{blue}{\left(y \cdot x - c \cdot b\right)} + j \cdot \left(c \cdot a - y \cdot i\right) \]
      *-commutative [<=] 37.4	\[ z \cdot \left(y \cdot x - c \cdot b\right) + j \cdot \left(c \cdot a - \color{blue}{i \cdot y}\right) \]

   5. Taylor expanded in c around -inf 59.4%

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

   6. Simplified 58.8%

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

      [Start] 59.4	\[ -1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + \left(y \cdot \left(z \cdot x\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right)\right) \]
      associate-+r+ [=>] 59.4	\[ \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) + -1 \cdot \left(c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right)} \]
      mul-1-neg [=>] 59.4	\[ \left(-1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) + \color{blue}{\left(-c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)\right)} \]
      unsub-neg [=>] 59.4	\[ \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) - c \cdot \left(z \cdot b + -1 \cdot \left(a \cdot j\right)\right)} \]

   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)))) < 2.9999999999999998e302

   1. Initial program 98.7%

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

   2. Simplified 98.7%

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

      [Start] 98.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 98.7	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 98.7	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 98.7	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   if 2.9999999999999998e302 < (+.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 6.3%

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

   2. Simplified 6.3%

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

      [Start] 6.3	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 6.3	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 6.3	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 6.3	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in i around inf 37.8%

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

   4. Simplified 37.8%

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

      [Start] 37.8	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right)\right) \]
      fma-def [=>] 37.8	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, i \cdot \color{blue}{\mathsf{fma}\left(t, b, -1 \cdot \left(y \cdot j\right)\right)}\right) \]
      associate-*r* [=>] 37.8	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, i \cdot \mathsf{fma}\left(t, b, \color{blue}{\left(-1 \cdot y\right) \cdot j}\right)\right) \]
      neg-mul-1 [<=] 37.8	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, i \cdot \mathsf{fma}\left(t, b, \color{blue}{\left(-y\right)} \cdot j\right)\right) \]

   5. Taylor expanded in z around 0 46.6%

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

   6. Simplified 47.6%

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

      [Start] 46.6	\[ -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) \]
      +-commutative [=>] 46.6	\[ \color{blue}{i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)} \]
      mul-1-neg [=>] 46.6	\[ i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + \color{blue}{\left(-a \cdot \left(t \cdot x\right)\right)} \]
      unsub-neg [=>] 46.6	\[ \color{blue}{i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) - a \cdot \left(t \cdot x\right)} \]
      fma-def [=>] 46.6	\[ i \cdot \color{blue}{\mathsf{fma}\left(t, b, -1 \cdot \left(y \cdot j\right)\right)} - a \cdot \left(t \cdot x\right) \]
      mul-1-neg [=>] 46.6	\[ i \cdot \mathsf{fma}\left(t, b, \color{blue}{-y \cdot j}\right) - a \cdot \left(t \cdot x\right) \]
      distribute-rgt-neg-in [=>] 46.6	\[ i \cdot \mathsf{fma}\left(t, b, \color{blue}{y \cdot \left(-j\right)}\right) - a \cdot \left(t \cdot x\right) \]
      *-commutative [=>] 46.6	\[ i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - \color{blue}{\left(t \cdot x\right) \cdot a} \]
      associate-*l* [=>] 47.6	\[ i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - \color{blue}{t \cdot \left(x \cdot a\right)} \]
      *-commutative [<=] 47.6	\[ i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - t \cdot \color{blue}{\left(a \cdot x\right)} \]

3. Recombined 3 regimes into one program.

4. Final simplification 90.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq -\infty:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq 3 \cdot 10^{+302}:\\ \;\;\;\;\mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(a \cdot c - y \cdot i\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - t \cdot \left(x \cdot a\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	90.1%
Cost	11976

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := a \cdot c - y \cdot i\\ t_3 := t_1 + j \cdot t_2\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t_3 \leq 3 \cdot 10^{+302}:\\ \;\;\;\;\mathsf{fma}\left(j, t_2, t_1\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - t \cdot \left(x \cdot a\right)\\ \end{array} \]

Alternative 2
Accuracy	90.1%
Cost	11144

\[\begin{array}{l} t_1 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t_1 \leq 3 \cdot 10^{+302}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;i \cdot \mathsf{fma}\left(t, b, y \cdot \left(-j\right)\right) - t \cdot \left(x \cdot a\right)\\ \end{array} \]

Alternative 3
Accuracy	90.8%
Cost	5705

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

Alternative 4
Accuracy	67.1%
Cost	2801

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_5 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + t \cdot \left(b \cdot i\right)\right) + t_3\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;y \leq -4.5 \cdot 10^{+70}:\\ \;\;\;\;t_6 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-147}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-211}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i - z \cdot c\right) - x \cdot \left(t \cdot a\right)\right) + t_3\\ \mathbf{elif}\;y \leq -4.5 \cdot 10^{-258}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-238}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-144}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-132}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + t_3\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{-94}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-58}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-45}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{+129} \lor \neg \left(y \leq 5.4 \cdot 10^{+264}\right):\\ \;\;\;\;t_6 + t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 5
Accuracy	66.8%
Cost	2664

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := \left(y \cdot \left(x \cdot z\right) + t_2\right) - c \cdot \left(z \cdot b\right)\\ t_4 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + t \cdot \left(b \cdot i\right)\right) + t_2\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_7 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ \mathbf{if}\;y \leq -3.5 \cdot 10^{+74}:\\ \;\;\;\;t_6 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -4.5 \cdot 10^{-258}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 9.2 \cdot 10^{-238}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 2.45 \cdot 10^{-144}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-132}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.8 \cdot 10^{-94}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 9.4 \cdot 10^{-58}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{-47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.9 \cdot 10^{+127}:\\ \;\;\;\;t_6 + t_2\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+218}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Accuracy	43.2%
Cost	2544

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) - c \cdot \left(z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) - j \cdot \left(y \cdot i\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{+93}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -7.2 \cdot 10^{+43}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-87}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.08 \cdot 10^{-94}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{-288}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 8.8 \cdot 10^{-253}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-235}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 2.65 \cdot 10^{-226}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{-48}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-27}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;x \leq 20500000000000:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 7
Accuracy	61.1%
Cost	2404

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) - j \cdot \left(y \cdot i\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_5 := t_1 + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -5.7 \cdot 10^{+144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -3.85 \cdot 10^{-50}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.7 \cdot 10^{-128}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -7.4 \cdot 10^{-233}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-268}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 3.9 \cdot 10^{-253}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-199}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+75}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 8
Accuracy	62.8%
Cost	2400

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - c \cdot \left(z \cdot b\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := c \cdot \left(a \cdot j - z \cdot b\right) + t_4\\ t_6 := t_4 + t_1\\ \mathbf{if}\;y \leq -5.4 \cdot 10^{+69}:\\ \;\;\;\;t_3 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -1.2 \cdot 10^{-152}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-273}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-144}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-46}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+127}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+218}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 9
Accuracy	62.6%
Cost	2400

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := \left(y \cdot \left(x \cdot z\right) + t_4\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;y \leq -2.4 \cdot 10^{+71}:\\ \;\;\;\;t_3 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -9.5 \cdot 10^{-153}:\\ \;\;\;\;t_4 + \left(t \cdot \left(b \cdot i\right) - x \cdot \left(t \cdot a\right)\right)\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{-144}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{-131}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-45}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 4.3 \cdot 10^{+129}:\\ \;\;\;\;t_3 + t_4\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{+218}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 10
Accuracy	47.4%
Cost	2280

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right) - y \cdot \left(i \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) - j \cdot \left(y \cdot i\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{+93}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -3.9 \cdot 10^{+43}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-85}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq -1.62 \cdot 10^{-94}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-255}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -3.9 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.85 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-25}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 20500000000000:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Accuracy	57.9%
Cost	2272

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right) - y \cdot \left(i \cdot j\right)\\ t_4 := t_1 + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;y \leq -3.1 \cdot 10^{+73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-152}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-273}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-153}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-132}:\\ \;\;\;\;\frac{b}{\frac{1}{t \cdot i - z \cdot c}}\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{+31}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{+54}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 12
Accuracy	39.2%
Cost	2160

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;b \leq -4 \cdot 10^{+121}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -1.9 \cdot 10^{+42}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;b \leq -1.08 \cdot 10^{-35}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -1.8 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{-104}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-132}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.3 \cdot 10^{-163}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{-243}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{-144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.95 \cdot 10^{+16}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 13
Accuracy	40.5%
Cost	2160

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) - c \cdot \left(z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -1 \cdot 10^{+98}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -3.3 \cdot 10^{+47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.8 \cdot 10^{-64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.14 \cdot 10^{-94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-290}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2.55 \cdot 10^{-253}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2.75 \cdot 10^{-226}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-46}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.6 \cdot 10^{-25}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{+21}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 14
Accuracy	63.3%
Cost	2140

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_2 + t_1\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := c \cdot \left(a \cdot j - z \cdot b\right) + t_4\\ t_6 := t_4 + t_1\\ \mathbf{if}\;y \leq -1.9 \cdot 10^{+70}:\\ \;\;\;\;t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;y \leq -6.8 \cdot 10^{-153}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 3 \cdot 10^{-273}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-144}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.56 \cdot 10^{-131}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{-47}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+127}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - b \cdot \left(z \cdot c - t \cdot i\right)\\ \end{array} \]

Alternative 15
Accuracy	40.4%
Cost	2029

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -7.4 \cdot 10^{-11}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-84}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-84}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq -1.85 \cdot 10^{-186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3 \cdot 10^{-257}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{-289}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.66 \cdot 10^{-215}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;j \leq 1.22 \cdot 10^{-119}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;j \leq 1.38 \cdot 10^{-42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{+57} \lor \neg \left(j \leq 5.2 \cdot 10^{+98}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \end{array} \]

Alternative 16
Accuracy	60.5%
Cost	2008

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right) - y \cdot \left(i \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right) + t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;y \leq -1300:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{-141}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{-30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{+108}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 17
Accuracy	24.4%
Cost	1968

\[\begin{array}{l} t_1 := i \cdot \left(y \cdot \left(-j\right)\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_4 := b \cdot \left(t \cdot i\right)\\ \mathbf{if}\;b \leq -9.5 \cdot 10^{-36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -1.42 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.5 \cdot 10^{-82}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{-132}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -5.9 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 4 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-240}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5.1 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{+31}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \end{array} \]

Alternative 18
Accuracy	42.1%
Cost	1896

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -56:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{-53}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -7 \cdot 10^{-57}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{-169}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq -3.15 \cdot 10^{-236}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{-261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{-145}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{-47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{+55}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Accuracy	41.7%
Cost	1764

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;y \leq -2.4:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.5 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -4.6 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -5 \cdot 10^{-236}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.75 \cdot 10^{-260}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.45 \cdot 10^{-144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{-108}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{-46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.1 \cdot 10^{+55}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 20
Accuracy	40.7%
Cost	1764

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{+93}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -6 \cdot 10^{+46}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -8.1 \cdot 10^{-63}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;x \leq -8.2 \cdot 10^{-95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-293}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.3 \cdot 10^{-46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-27}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Accuracy	40.7%
Cost	1764

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;x \leq -1.16 \cdot 10^{+94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -8.4 \cdot 10^{+43}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6.6 \cdot 10^{-64}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-293}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-27}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;x \leq 9.6 \cdot 10^{+20}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 22
Accuracy	40.6%
Cost	1764

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -9 \cdot 10^{+93}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -9 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.3 \cdot 10^{-62}:\\ \;\;\;\;b \cdot \left(t \cdot i\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq -8.2 \cdot 10^{-95}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.35 \cdot 10^{-46}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 10^{-25}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;x \leq 2.6 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 23
Accuracy	21.1%
Cost	1640

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := i \cdot \left(y \cdot \left(-j\right)\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;x \leq -4.9 \cdot 10^{+144}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -7 \cdot 10^{-8}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -4.6 \cdot 10^{-166}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.55 \cdot 10^{-210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-289}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.75 \cdot 10^{-174}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.7 \cdot 10^{+103}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 24
Accuracy	20.4%
Cost	1640

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := i \cdot \left(y \cdot \left(-j\right)\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -1.3 \cdot 10^{+102}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;x \leq -0.0012:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq -1.05 \cdot 10^{-75}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.5 \cdot 10^{-164}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -3 \cdot 10^{-210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-292}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{-173}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 5 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+103}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 25
Accuracy	20.9%
Cost	1640

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -1.08 \cdot 10^{+102}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-6}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.45 \cdot 10^{-165}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-211}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-253}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{-289}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{-169}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{+103}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 26
Accuracy	20.8%
Cost	1640

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -1.3 \cdot 10^{+102}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{-6}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq -1.2 \cdot 10^{-77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-161}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq -4.2 \cdot 10^{-211}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;x \leq -7.9 \cdot 10^{-256}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;x \leq 1.3 \cdot 10^{-290}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.45 \cdot 10^{-167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+104}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 27
Accuracy	21.7%
Cost	1640

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{+93}:\\ \;\;\;\;\left(t \cdot a\right) \cdot \left(-x\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-6}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq -9.5 \cdot 10^{-79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.05 \cdot 10^{-160}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq -1 \cdot 10^{-210}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;x \leq -1.66 \cdot 10^{-255}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-288}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.7 \cdot 10^{-167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{+103}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 28
Accuracy	34.4%
Cost	1632

\[\begin{array}{l} t_1 := i \cdot \left(y \cdot \left(-j\right)\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -1.85 \cdot 10^{+40}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -0.0205:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -8 \cdot 10^{-13}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -5.6 \cdot 10^{-80}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;c \leq -8 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-259}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;c \leq 2 \cdot 10^{-178}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;c \leq 0.46:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 29
Accuracy	33.5%
Cost	1632

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;x \leq -2.25 \cdot 10^{+104}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -7.2 \cdot 10^{-34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.8 \cdot 10^{-191}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.85 \cdot 10^{-210}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-254}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{+188}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 30
Accuracy	19.2%
Cost	1244

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;x \leq -4.4 \cdot 10^{+144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -0.0175:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -4.1 \cdot 10^{-75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6.6 \cdot 10^{-129}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{+102}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 31
Accuracy	19.2%
Cost	1244

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;x \leq -6.8 \cdot 10^{+144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -8 \cdot 10^{-5}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.5 \cdot 10^{-76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.8 \cdot 10^{-128}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{+103}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 32
Accuracy	20.9%
Cost	1244

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;x \leq -4.4 \cdot 10^{+144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -3.45 \cdot 10^{-7}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-78}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -7.4 \cdot 10^{-130}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq -6.2 \cdot 10^{-219}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;x \leq 3.4 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{+102}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 33
Accuracy	39.6%
Cost	972

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -2 \cdot 10^{+166}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.7 \cdot 10^{-177}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{-5}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 34
Accuracy	17.6%
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -7.7 \cdot 10^{-81} \lor \neg \left(c \leq 10^{-109}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 35
Accuracy	21.3%
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -1.5 \cdot 10^{+168} \lor \neg \left(c \leq 1.25 \cdot 10^{-76}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \end{array} \]

Alternative 36
Accuracy	16.3%
Cost	320

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

Reproduce

herbie shell --seed 2023138 
(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)))))