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

Average Error: 19.07% → 7.55%

Time: 1.5min

Precision: binary64

Cost: 18248

Math

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

↓

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

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (- (* 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)) (* a (* x t))))
     (if (<= t_4 1e+307)
       (fma x t_3 (fma b t_1 t_2))
       (-
        (+ (* z (* x y)) (+ (* i (- (* t b) (* y j))) (* c (* a j))))
        (* c (* z b)))))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = (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)) - (a * (x * t)));
	} else if (t_4 <= 1e+307) {
		tmp = fma(x, t_3, fma(b, t_1, t_2));
	} else {
		tmp = ((z * (x * y)) + ((i * ((t * b) - (y * j))) + (c * (a * j)))) - (c * (z * b));
	}
	return tmp;
}

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(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(Float64(y * Float64(x * z)) - Float64(a * Float64(x * t))));
	elseif (t_4 <= 1e+307)
		tmp = fma(x, t_3, fma(b, t_1, t_2));
	else
		tmp = Float64(Float64(Float64(z * Float64(x * y)) + Float64(Float64(i * Float64(Float64(t * b) - Float64(y * j))) + Float64(c * Float64(a * j)))) - Float64(c * Float64(z * b)));
	end
	return tmp
end

Wolfram

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

↓

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

Target

Original	19.07%
Target	30.95%
Herbie	7.55%

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

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 100

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

   2. Simplified 100

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

      [Start] 100	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 100	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 100	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 100	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in i around 0 61.81

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

   4. Simplified 61.81

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

      [Start] 61.81	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(\left(y \cdot z - a \cdot t\right) \cdot x + c \cdot \left(a \cdot j\right)\right) \]
      +-commutative [=>] 61.81	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \color{blue}{\left(c \cdot \left(a \cdot j\right) + \left(y \cdot z - a \cdot t\right) \cdot x\right)} \]
      *-commutative [=>] 61.81	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(c \cdot \left(a \cdot j\right) + \color{blue}{x \cdot \left(y \cdot z - a \cdot t\right)}\right) \]
      *-commutative [=>] 61.81	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(c \cdot \left(a \cdot j\right) + x \cdot \left(\color{blue}{z \cdot y} - a \cdot t\right)\right) \]
      *-commutative [<=] 61.81	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(c \cdot \left(a \cdot j\right) + x \cdot \left(z \cdot y - \color{blue}{t \cdot a}\right)\right) \]
      associate-+r+ [=>] 61.81	\[ \color{blue}{\left(-1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + c \cdot \left(a \cdot j\right)\right) + x \cdot \left(z \cdot y - t \cdot a\right)} \]
      +-commutative [<=] 61.81	\[ \color{blue}{\left(c \cdot \left(a \cdot j\right) + -1 \cdot \left(c \cdot \left(b \cdot z\right)\right)\right)} + x \cdot \left(z \cdot y - t \cdot a\right) \]
      mul-1-neg [=>] 61.81	\[ \left(c \cdot \left(a \cdot j\right) + \color{blue}{\left(-c \cdot \left(b \cdot z\right)\right)}\right) + x \cdot \left(z \cdot y - t \cdot a\right) \]
      unsub-neg [=>] 61.81	\[ \color{blue}{\left(c \cdot \left(a \cdot j\right) - c \cdot \left(b \cdot z\right)\right)} + x \cdot \left(z \cdot y - t \cdot a\right) \]
      *-commutative [=>] 61.81	\[ \left(c \cdot \left(a \cdot j\right) - \color{blue}{\left(b \cdot z\right) \cdot c}\right) + x \cdot \left(z \cdot y - t \cdot a\right) \]
      *-commutative [=>] 61.81	\[ \left(c \cdot \left(a \cdot j\right) - \color{blue}{\left(z \cdot b\right)} \cdot c\right) + x \cdot \left(z \cdot y - t \cdot a\right) \]
      cancel-sign-sub-inv [=>] 61.81	\[ \color{blue}{\left(c \cdot \left(a \cdot j\right) + \left(-z \cdot b\right) \cdot c\right)} + x \cdot \left(z \cdot y - t \cdot a\right) \]
      mul-1-neg [<=] 61.81	\[ \left(c \cdot \left(a \cdot j\right) + \color{blue}{\left(-1 \cdot \left(z \cdot b\right)\right)} \cdot c\right) + x \cdot \left(z \cdot y - t \cdot a\right) \]
      *-commutative [=>] 61.81	\[ \left(c \cdot \left(a \cdot j\right) + \color{blue}{c \cdot \left(-1 \cdot \left(z \cdot b\right)\right)}\right) + x \cdot \left(z \cdot y - t \cdot a\right) \]
      distribute-lft-in [<=] 61.81	\[ \color{blue}{c \cdot \left(a \cdot j + -1 \cdot \left(z \cdot b\right)\right)} + x \cdot \left(z \cdot y - t \cdot a\right) \]

   5. Taylor expanded in y around 0 44.02

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

   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)))) < 9.99999999999999986e306

   1. Initial program 1.29

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

   2. Simplified 1.29

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

      [Start] 1.29	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 1.29	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 1.29	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 1.29	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   if 9.99999999999999986e306 < (+.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 98.23

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

   2. Simplified 98.23

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

      [Start] 98.23	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 98.23	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 98.23	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 98.23	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in i around 0 41.42

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

   4. Taylor expanded in y around inf 29.82

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

   5. Simplified 28.7

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

      [Start] 29.82	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(y \cdot \left(z \cdot x\right) + \left(i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*r* [=>] 41.47	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(\color{blue}{\left(y \cdot z\right) \cdot x} + \left(i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      *-commutative [=>] 41.47	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(\color{blue}{\left(z \cdot y\right)} \cdot x + \left(i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]
      associate-*l* [=>] 28.7	\[ -1 \cdot \left(c \cdot \left(b \cdot z\right)\right) + \left(\color{blue}{z \cdot \left(y \cdot x\right)} + \left(i \cdot \left(t \cdot b + -1 \cdot \left(y \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right)\right) \]

3. Recombined 3 regimes into one program.

4. Final simplification 7.55

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

Alternatives

Alternative 1
Error	7.56%
Cost	5832

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

Alternative 2
Error	9%
Cost	5705

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

Alternative 3
Error	7.56%
Cost	5704

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

Alternative 4
Error	39.32%
Cost	3328

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right) + t_1\\ t_6 := t_3 + t_1\\ t_7 := y \cdot \left(x \cdot z\right)\\ t_8 := t_7 + t_2\\ t_9 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_10 := t_9 + t_3\\ t_11 := a \cdot \left(x \cdot t\right)\\ \mathbf{if}\;b \leq -6.6 \cdot 10^{+213}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;b \leq -3.7 \cdot 10^{+64}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;b \leq -11500000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.05 \cdot 10^{-29}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -2.4 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -1.26 \cdot 10^{-113}:\\ \;\;\;\;t_9 + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;b \leq -4.2 \cdot 10^{-168}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-215}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -1.3 \cdot 10^{-263}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 1.5 \cdot 10^{-244}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{-191}:\\ \;\;\;\;t_9 + t_7\\ \mathbf{elif}\;b \leq 1.08 \cdot 10^{-138}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{-132}:\\ \;\;\;\;\left(b \cdot c\right) \cdot \left(-z\right) - t_11\\ \mathbf{elif}\;b \leq 1.12 \cdot 10^{-128}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;b \leq 3.7 \cdot 10^{-81}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;b \leq 2.65 \cdot 10^{+31}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 - t_11\\ \end{array} \]

Alternative 5
Error	38.32%
Cost	3324

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := a \cdot \left(x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_7 := i \cdot \left(t \cdot b\right)\\ t_8 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_9 := t_6 + t_8\\ t_10 := y \cdot \left(x \cdot z\right)\\ t_11 := t_10 + \left(t_4 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{if}\;i \leq -9 \cdot 10^{+91}:\\ \;\;\;\;t_7 + \left(t_1 - t_2\right)\\ \mathbf{elif}\;i \leq -2.5 \cdot 10^{+45}:\\ \;\;\;\;t_3 + t_5\\ \mathbf{elif}\;i \leq -8.2 \cdot 10^{+18}:\\ \;\;\;\;t_8 + t_1\\ \mathbf{elif}\;i \leq -4.6 \cdot 10^{-29}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq -7.2 \cdot 10^{-47}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;i \leq -2.9 \cdot 10^{-62}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{-124}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;i \leq -4.6 \cdot 10^{-222}:\\ \;\;\;\;t_6 + \left(t_10 - t_2\right)\\ \mathbf{elif}\;i \leq -5.6 \cdot 10^{-260}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;i \leq 2.5 \cdot 10^{-256}:\\ \;\;\;\;\left(t_4 + x \cdot \left(y \cdot z\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;i \leq 9 \cdot 10^{-195}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 2.4 \cdot 10^{-171}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;i \leq 2.15 \cdot 10^{-150}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{-40}:\\ \;\;\;\;t_5 + t_1\\ \mathbf{elif}\;i \leq 8 \cdot 10^{+111}:\\ \;\;\;\;t_11\\ \mathbf{else}:\\ \;\;\;\;t_7 - \left(t_2 + i \cdot \left(y \cdot j\right)\right)\\ \end{array} \]

Alternative 6
Error	44.2%
Cost	3064

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right) + x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right) + t_2\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right) + t_2\\ \mathbf{if}\;a \leq -2.55 \cdot 10^{+216}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.12 \cdot 10^{-69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.7 \cdot 10^{-124}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-217}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-272}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-283}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-270}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{-209}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-112}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4 \cdot 10^{-37}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 400000:\\ \;\;\;\;y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;a \leq 2.35 \cdot 10^{+87}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+196}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \end{array} \]

Alternative 7
Error	31.54%
Cost	3052

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := i \cdot \left(t \cdot b\right) + \left(t_2 - a \cdot \left(x \cdot t\right)\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := \left(t_4 + b \cdot \left(t \cdot i - z \cdot c\right)\right) - i \cdot \left(y \cdot j\right)\\ t_6 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_7 := t_6 + t_4\\ t_8 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_9 := t_8 + t_2\\ \mathbf{if}\;c \leq -7 \cdot 10^{+193}:\\ \;\;\;\;t_6 + y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{+111}:\\ \;\;\;\;t_8 + t_1\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{+28}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{-45}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq -9.6 \cdot 10^{-62}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-160}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -6 \cdot 10^{-231}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 9.8 \cdot 10^{-163}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-131}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{+43}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 8
Error	42.01%
Cost	2932

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := y \cdot \left(x \cdot z\right) + t_1\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := c \cdot \left(a \cdot j - z \cdot b\right) + t_4\\ t_6 := t_4 + t_1\\ t_7 := z \cdot \left(x \cdot y - b \cdot c\right) + t_2\\ t_8 := t \cdot \left(b \cdot i - x \cdot a\right) + t_2\\ \mathbf{if}\;a \leq -4.8 \cdot 10^{+218}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -4 \cdot 10^{-70}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -2.35 \cdot 10^{-132}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -1.35 \cdot 10^{-215}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 4.7 \cdot 10^{-268}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 1.55 \cdot 10^{-210}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-179}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-84}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{-32}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 250000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{+87}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 6 \cdot 10^{+113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 7.4 \cdot 10^{+195}:\\ \;\;\;\;t_4 + t_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \end{array} \]

Alternative 9
Error	42.92%
Cost	2932

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := t_4 + t_2\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := t_6 + t_2\\ t_8 := t_6 + t_1\\ \mathbf{if}\;y \leq -2.4 \cdot 10^{+171}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{+90}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;y \leq -7.4 \cdot 10^{+58}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{-18}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{-113}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{-235}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-269}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-252}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{-58}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+14}:\\ \;\;\;\;t_1 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;y \leq 2.75 \cdot 10^{+103}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+105}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 1.86 \cdot 10^{+129}:\\ \;\;\;\;t_4 + t_3\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 10
Error	61.17%
Cost	2820

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -4.8 \cdot 10^{+60}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -220000000:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq -1 \cdot 10^{-36}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -4.4 \cdot 10^{-103}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -3 \cdot 10^{-130}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -6.5 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-293}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-280}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{-263}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.06 \cdot 10^{-238}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 4.7 \cdot 10^{-200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{-162}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-71}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.4 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 11
Error	42.27%
Cost	2800

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := a \cdot \left(x \cdot t\right)\\ t_4 := t_1 + t_2\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) + t_2\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right) + t_2\\ t_7 := c \cdot \left(a \cdot j - z \cdot b\right) + \left(y \cdot \left(x \cdot z\right) - t_3\right)\\ t_8 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_9 := t_1 + t_8\\ \mathbf{if}\;y \leq -6.6 \cdot 10^{+170}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -5.6 \cdot 10^{+84}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -6.2 \cdot 10^{-34}:\\ \;\;\;\;\left(t_8 + x \cdot \left(y \cdot z\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;y \leq -1.06 \cdot 10^{-124}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -4.1 \cdot 10^{-235}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-270}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 4.3 \cdot 10^{-252}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 7.2 \cdot 10^{-59}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{+17}:\\ \;\;\;\;t_8 - t_3\\ \mathbf{elif}\;y \leq 2.85 \cdot 10^{+97}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{+134}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 1.32 \cdot 10^{+213}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \end{array} \]

Alternative 12
Error	62.28%
Cost	2685

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := a \cdot \left(x \cdot t\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_5 := b \cdot i - x \cdot a\\ \mathbf{if}\;y \leq -1.18 \cdot 10^{+170}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+85}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -1.15 \cdot 10^{+23}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{-11}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{-61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-112}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-203}:\\ \;\;\;\;t_2 - t_3\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{-301}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 9.2 \cdot 10^{-216}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-149}:\\ \;\;\;\;t \cdot t_5\\ \mathbf{elif}\;y \leq 2.05 \cdot 10^{-58}:\\ \;\;\;\;t_2 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 2.15 \cdot 10^{-51}:\\ \;\;\;\;\left(b \cdot c\right) \cdot \left(-z\right) - t_3\\ \mathbf{elif}\;y \leq 35000000000000:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y \leq 2.05 \cdot 10^{+61} \lor \neg \left(y \leq 9.4 \cdot 10^{+127}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;\frac{t}{\frac{1}{t_5}}\\ \end{array} \]

Alternative 13
Error	44.67%
Cost	2677

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := a \cdot \left(x \cdot t\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right) + x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;y \leq -7.6 \cdot 10^{+172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-20}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-116}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{-223}:\\ \;\;\;\;t_1 - t_2\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{-301}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.56 \cdot 10^{-58}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 6 \cdot 10^{+24}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+103}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+111}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 2.55 \cdot 10^{+134}:\\ \;\;\;\;\left(b \cdot c\right) \cdot \left(-z\right) - t_2\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{+164} \lor \neg \left(y \leq 2.6 \cdot 10^{+186}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) + t_1\\ \end{array} \]

Alternative 14
Error	52.17%
Cost	2676

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := \left(b \cdot c\right) \cdot \left(-z\right) - a \cdot \left(x \cdot t\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_5 := t_4 + x \cdot \left(y \cdot z\right)\\ t_6 := i \cdot \left(t \cdot b\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := t_4 + t_1\\ \mathbf{if}\;i \leq -2.3 \cdot 10^{+83}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -4 \cdot 10^{+54}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{+18}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.04 \cdot 10^{-44}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -1.38 \cdot 10^{-124}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -3.85 \cdot 10^{-262}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -1.2 \cdot 10^{-288}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-307}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 3.7 \cdot 10^{-287}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;i \leq 3.6 \cdot 10^{-259}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4 \cdot 10^{-236}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 3.9 \cdot 10^{-211}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.22 \cdot 10^{-144}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 15
Error	55.12%
Cost	2676

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := i \cdot \left(t \cdot b\right)\\ t_5 := t_4 + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_6 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_7 := t_3 + t_6\\ \mathbf{if}\;t \leq -7.8 \cdot 10^{+61}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{-61}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-81}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq -5.2 \cdot 10^{-114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.85 \cdot 10^{-296}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;t \leq 1.52 \cdot 10^{-248}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 2.25 \cdot 10^{-200}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-158}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;t \leq 1.75 \cdot 10^{-45}:\\ \;\;\;\;t_1 + t_3\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+228}:\\ \;\;\;\;t_6 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;t \leq 4 \cdot 10^{+245}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4 + j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 16
Error	51.37%
Cost	2676

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c\right)\\ t_5 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_6 := t_5 + y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;i \leq -6 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -5.8 \cdot 10^{+46}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -6.5 \cdot 10^{+17}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -4.8 \cdot 10^{-45}:\\ \;\;\;\;t_5 + t_1\\ \mathbf{elif}\;i \leq -1.8 \cdot 10^{-79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -9.6 \cdot 10^{-154}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;i \leq -4.2 \cdot 10^{-227}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -4 \cdot 10^{-256}:\\ \;\;\;\;\left(t_1 + t \cdot \left(b \cdot i\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;i \leq -6.4 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -4.1 \cdot 10^{-274}:\\ \;\;\;\;\left(b \cdot c\right) \cdot \left(-z\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;i \leq 6.8 \cdot 10^{-249}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 4.55 \cdot 10^{-172}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{-157}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 17
Error	38.58%
Cost	2668

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := a \cdot \left(x \cdot t\right)\\ t_4 := i \cdot \left(t \cdot b\right)\\ t_5 := t_4 + \left(t_2 - t_3\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_8 := t_1 + t_7\\ t_9 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_10 := t_9 + \left(y \cdot \left(x \cdot z\right) - t_3\right)\\ \mathbf{if}\;i \leq -7 \cdot 10^{+91}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{+45}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;i \leq -7.2 \cdot 10^{+18}:\\ \;\;\;\;t_6 + t_2\\ \mathbf{elif}\;i \leq -3.2 \cdot 10^{-45}:\\ \;\;\;\;t_9 + t_6\\ \mathbf{elif}\;i \leq -1.5 \cdot 10^{-85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -2.9 \cdot 10^{-136}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{-228}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{-251}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;i \leq 5.5 \cdot 10^{-144}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;i \leq 1.25 \cdot 10^{-11}:\\ \;\;\;\;t_7 + t_2\\ \mathbf{elif}\;i \leq 9.5 \cdot 10^{+109}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_4 - \left(t_3 + i \cdot \left(y \cdot j\right)\right)\\ \end{array} \]

Alternative 18
Error	58.73%
Cost	2616

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right) + x \cdot \left(y \cdot z\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := a \cdot \left(x \cdot t\right)\\ t_5 := \left(b \cdot c\right) \cdot \left(-z\right) - t_4\\ \mathbf{if}\;y \leq -3.45 \cdot 10^{+170}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.3 \cdot 10^{-18}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -9.5 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -6.2 \cdot 10^{-162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.3 \cdot 10^{-200}:\\ \;\;\;\;t_2 - t_4\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{-302}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-215}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 5.2 \cdot 10^{-149}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq 8.7 \cdot 10^{-60}:\\ \;\;\;\;t_2 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{-53}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 36000000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 10^{+106}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{+135}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Error	60.79%
Cost	2556

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -2.15 \cdot 10^{+57}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -5500000:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-36}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{-106}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.28 \cdot 10^{-132}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.9 \cdot 10^{-276}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 8.8 \cdot 10^{-240}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{-200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-159}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.05 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{-69}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{+38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.35 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 20
Error	56.43%
Cost	2544

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := t_2 + x \cdot \left(y \cdot z\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -4.5 \cdot 10^{+57}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -5200000:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq -1.2 \cdot 10^{-40}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;t \leq -2.05 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{-128}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.22 \cdot 10^{-275}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{-238}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{-229}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 8.2 \cdot 10^{-178}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.75 \cdot 10^{-106}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{+62}:\\ \;\;\;\;t_2 + y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 21
Error	47.83%
Cost	2544

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := c \cdot j - x \cdot t\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_5 := y \cdot \left(x \cdot z\right)\\ t_6 := t_5 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;a \leq -6.5 \cdot 10^{+220}:\\ \;\;\;\;\left(t_5 - a \cdot \left(x \cdot t\right)\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq -9.6 \cdot 10^{-84}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.2 \cdot 10^{-125}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{-169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-303}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 180000000:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;a \cdot t_3\\ \mathbf{elif}\;a \leq 1.72 \cdot 10^{+111}:\\ \;\;\;\;t_1 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{+136}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{\frac{1}{t_3}}\\ \end{array} \]

Alternative 22
Error	54.83%
Cost	2540

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := i \cdot \left(t \cdot b\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ t_5 := t_4 + t_1\\ t_6 := a \cdot \left(x \cdot t\right)\\ \mathbf{if}\;t \leq -1.15 \cdot 10^{+58}:\\ \;\;\;\;\left(t_3 + t \cdot \left(b \cdot i\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq -1.2 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-81}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-122}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + t_3\\ \mathbf{elif}\;t \leq -4.6 \cdot 10^{-293}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-256}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 8.8 \cdot 10^{-200}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-168}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;t \leq 1.25 \cdot 10^{-120}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-72}:\\ \;\;\;\;\left(t_4 - t_6\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 - t_6\\ \end{array} \]

Alternative 23
Error	35.05%
Cost	2536

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_1 + t_2\\ t_4 := i \cdot \left(t \cdot b\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := c \cdot \left(a \cdot j - z \cdot b\right) + t_5\\ t_7 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_8 := t_7 + t_2\\ \mathbf{if}\;t \leq -1.25 \cdot 10^{-35}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -6 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-225}:\\ \;\;\;\;t_4 - \left(a \cdot \left(x \cdot t\right) + i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 9.4 \cdot 10^{-151}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{-44}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 1.56 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.4 \cdot 10^{+56}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{+111}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 3.4 \cdot 10^{+228}:\\ \;\;\;\;t_1 + t_7\\ \mathbf{elif}\;t \leq 5.7 \cdot 10^{+249}:\\ \;\;\;\;t_5 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_4 + j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 24
Error	36.38%
Cost	2536

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right) + t_1\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := c \cdot \left(a \cdot j - z \cdot b\right) + t_4\\ t_6 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ \mathbf{if}\;t \leq -1.65 \cdot 10^{-40}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -6 \cdot 10^{-190}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-225}:\\ \;\;\;\;t_3 - \left(a \cdot \left(x \cdot t\right) + i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-151}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.15 \cdot 10^{-44}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{-24}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 8.5 \cdot 10^{+57}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{+111}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{+228}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 8 \cdot 10^{+251}:\\ \;\;\;\;t_4 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_3 + j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 25
Error	62.92%
Cost	2420

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := b \cdot i - x \cdot a\\ \mathbf{if}\;y \leq -1.18 \cdot 10^{+170}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.55 \cdot 10^{+88}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -5.2 \cdot 10^{+24}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-9}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -6.4 \cdot 10^{-114}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-207}:\\ \;\;\;\;t_2 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;y \leq 6.4 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-215}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 10^{-150}:\\ \;\;\;\;t \cdot t_4\\ \mathbf{elif}\;y \leq 5.5 \cdot 10^{-58}:\\ \;\;\;\;t_2 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+64}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y \leq 1.38 \cdot 10^{+128}:\\ \;\;\;\;\frac{t}{\frac{1}{t_4}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 26
Error	51.69%
Cost	2412

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z\right)\\ t_3 := i \cdot \left(t \cdot b\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := t_1 + y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;i \leq -1.55 \cdot 10^{+89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -9.8 \cdot 10^{+54}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.45 \cdot 10^{+18}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -6.2 \cdot 10^{-45}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.9 \cdot 10^{-124}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -5.5 \cdot 10^{-259}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{-290}:\\ \;\;\;\;\left(b \cdot c\right) \cdot \left(-z\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;i \leq -1.65 \cdot 10^{-307}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;i \leq 5.8 \cdot 10^{-258}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;i \leq 1.24 \cdot 10^{-147}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Error	54.41%
Cost	2412

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 + x \cdot \left(y \cdot z\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := i \cdot \left(t \cdot b\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_6 := t_3 + t_5\\ \mathbf{if}\;t \leq -2.25 \cdot 10^{+61}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;t \leq -3.3 \cdot 10^{-57}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.2 \cdot 10^{-81}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -2.1 \cdot 10^{-113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -2.4 \cdot 10^{-293}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;t \leq 2.05 \cdot 10^{-247}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{-225}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 8.2 \cdot 10^{-178}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-45}:\\ \;\;\;\;t_1 + t_3\\ \mathbf{else}:\\ \;\;\;\;t_5 - a \cdot \left(x \cdot t\right)\\ \end{array} \]

Alternative 28
Error	60.45%
Cost	2292

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -1.85 \cdot 10^{+59}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -43000000:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq -2.25 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -8.6 \cdot 10^{-99}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{-189}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.25 \cdot 10^{-275}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 5.9 \cdot 10^{-238}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 6.7 \cdot 10^{-200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{-169}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{-69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.65 \cdot 10^{+31}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 29
Error	60.83%
Cost	2292

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -8.5 \cdot 10^{+59}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -3800000:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq -2.4 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1 \cdot 10^{-99}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -3.6 \cdot 10^{-131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.22 \cdot 10^{-275}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{-237}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 4.4 \cdot 10^{-71}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 4.9 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{+87}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 30
Error	79.23%
Cost	1968

\[\begin{array}{l} t_1 := \left(y \cdot j\right) \cdot \left(-i\right)\\ t_2 := c \cdot \left(z \cdot \left(-b\right)\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := t \cdot \left(a \cdot \left(-x\right)\right)\\ \mathbf{if}\;x \leq -2.2 \cdot 10^{-76}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-152}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.1 \cdot 10^{-199}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;x \leq 6.6 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.7 \cdot 10^{-265}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-215}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-170}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{-111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 7.8 \cdot 10^{-16}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 5 \cdot 10^{-7}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{+84}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{+115}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 31
Error	79.31%
Cost	1968

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot \left(-b\right)\right)\\ t_2 := \left(y \cdot j\right) \cdot \left(-i\right)\\ t_3 := t \cdot \left(a \cdot \left(-x\right)\right)\\ t_4 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -5.2 \cdot 10^{-75}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.45 \cdot 10^{-152}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.3 \cdot 10^{-197}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{-278}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-265}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-165}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{-111}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-18}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 0.025:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 9 \cdot 10^{+84}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;x \leq 1.18 \cdot 10^{+114}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 32
Error	79.39%
Cost	1968

\[\begin{array}{l} t_1 := \left(y \cdot j\right) \cdot \left(-i\right)\\ t_2 := \left(b \cdot c\right) \cdot \left(-z\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := t \cdot \left(a \cdot \left(-x\right)\right)\\ t_5 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -3.1 \cdot 10^{-68}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.3 \cdot 10^{-121}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{-280}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{-172}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{-110}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{-61}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 0.00112:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{+85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 7.6 \cdot 10^{+117}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{+130}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+149}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{+191}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 33
Error	59.81%
Cost	1896

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -4.4 \cdot 10^{+61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -6.2 \cdot 10^{-73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -8.2 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.7 \cdot 10^{-276}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.14 \cdot 10^{-238}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-200}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{-160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{+55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 34
Error	60.44%
Cost	1896

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;t \leq -2.55 \cdot 10^{+57}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.75 \cdot 10^{-132}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-189}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.02 \cdot 10^{-277}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.12 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-199}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-159}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-106}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 6 \cdot 10^{+55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{+86}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 35
Error	62.72%
Cost	1764

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{if}\;i \leq -1.35 \cdot 10^{+148}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.5 \cdot 10^{+22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.4 \cdot 10^{-225}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.1 \cdot 10^{-257}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;i \leq -1 \cdot 10^{-302}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.65 \cdot 10^{-302}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{-210}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;i \leq 2.4 \cdot 10^{-151}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 36
Error	72.52%
Cost	1633

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;t \leq -3.8 \cdot 10^{+222}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -7.2 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;t \leq -6.5 \cdot 10^{-206}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;t \leq 1.24 \cdot 10^{-200}:\\ \;\;\;\;\left(y \cdot j\right) \cdot \left(-i\right)\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-169}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;t \leq 9.4 \cdot 10^{-45} \lor \neg \left(t \leq 2.7 \cdot 10^{+32}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right)\\ \end{array} \]

Alternative 37
Error	77.2%
Cost	1440

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{if}\;t \leq -1.12 \cdot 10^{-10}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-192}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -3.3 \cdot 10^{-222}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{-278}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;t \leq 2.35 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.66 \cdot 10^{-199}:\\ \;\;\;\;\left(y \cdot j\right) \cdot \left(-i\right)\\ \mathbf{elif}\;t \leq 3 \cdot 10^{-74}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{+34}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(-x\right)\right)\\ \end{array} \]

Alternative 38
Error	78.89%
Cost	1244

\[\begin{array}{l} t_1 := \left(y \cdot j\right) \cdot \left(-i\right)\\ \mathbf{if}\;j \leq -2.75 \cdot 10^{-70}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-183}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.25 \cdot 10^{-279}:\\ \;\;\;\;t \cdot \left(a \cdot \left(-x\right)\right)\\ \mathbf{elif}\;j \leq 3.4 \cdot 10^{-209}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;j \leq 6.2 \cdot 10^{-81}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 9.2 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 8.8 \cdot 10^{+139}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 39
Error	79.63%
Cost	1112

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;j \leq -1.35 \cdot 10^{-80}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.35 \cdot 10^{-209}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.2 \cdot 10^{-41}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 1.4 \cdot 10^{-27}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{+165}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternative 40
Error	78.5%
Cost	1112

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;j \leq -1.45 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.15 \cdot 10^{-209}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;j \leq 3.3 \cdot 10^{-47}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 8 \cdot 10^{-28}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 1.5 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 8.8 \cdot 10^{+139}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \end{array} \]

Alternative 41
Error	77.97%
Cost	1112

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;a \leq -2.05 \cdot 10^{-98}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{-279}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{+30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{+86}:\\ \;\;\;\;-a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 42
Error	59.11%
Cost	1104

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -3.8 \cdot 10^{-98}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.6 \cdot 10^{-114}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;a \leq 6500000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 43
Error	77.64%
Cost	848

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ \mathbf{if}\;c \leq -9600:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.2 \cdot 10^{-300}:\\ \;\;\;\;-a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;c \leq 8.3 \cdot 10^{-191}:\\ \;\;\;\;\left(y \cdot j\right) \cdot \left(-i\right)\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{+40}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 44
Error	78.23%
Cost	585

\[\begin{array}{l} \mathbf{if}\;a \leq -4 \cdot 10^{-98} \lor \neg \left(a \leq 7.5 \cdot 10^{+116}\right):\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \end{array} \]

Alternative 45
Error	82.89%
Cost	452

\[\begin{array}{l} \mathbf{if}\;a \leq 5 \cdot 10^{-44}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 46
Error	83.71%
Cost	320

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

Reproduce

herbie shell --seed 2023088 
(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)))))