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

Average Error: 18.35% → 6.9%

Time: 1.2min

Precision: binary64

Cost: 19081

Math

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

↓

\[\begin{array}{l} t_1 := y \cdot z - t \cdot a\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := \left(x \cdot t_1 + t_2\right) + t_3\\ \mathbf{if}\;t_4 \leq -2 \cdot 10^{+284} \lor \neg \left(t_4 \leq 10^{+289}\right):\\ \;\;\;\;\left(t \cdot \left(b \cdot i - x \cdot a\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\mathsf{fma}\left(x, t_1, \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot \left(x + x\right)\right) + t_2\right) + t_3\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (- (* y z) (* t a)))
        (t_2 (* b (- (* t i) (* z c))))
        (t_3 (* j (- (* a c) (* y i))))
        (t_4 (+ (+ (* x t_1) t_2) t_3)))
   (if (or (<= t_4 -2e+284) (not (<= t_4 1e+289)))
     (+
      (+ (* t (- (* b i) (* x a))) (- (* c (* a j)) (* y (* i j))))
      (* z (- (* x y) (* b c))))
     (+ (+ (fma x t_1 (* (fma (- a) t (* t a)) (+ x x))) t_2) t_3))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = (y * z) - (t * a);
	double t_2 = b * ((t * i) - (z * c));
	double t_3 = j * ((a * c) - (y * i));
	double t_4 = ((x * t_1) + t_2) + t_3;
	double tmp;
	if ((t_4 <= -2e+284) || !(t_4 <= 1e+289)) {
		tmp = ((t * ((b * i) - (x * a))) + ((c * (a * j)) - (y * (i * j)))) + (z * ((x * y) - (b * c)));
	} else {
		tmp = (fma(x, t_1, (fma(-a, t, (t * a)) * (x + x))) + t_2) + t_3;
	}
	return tmp;
}

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(y * z) - Float64(t * a))
	t_2 = Float64(b * Float64(Float64(t * i) - Float64(z * c)))
	t_3 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_4 = Float64(Float64(Float64(x * t_1) + t_2) + t_3)
	tmp = 0.0
	if ((t_4 <= -2e+284) || !(t_4 <= 1e+289))
		tmp = Float64(Float64(Float64(t * Float64(Float64(b * i) - Float64(x * a))) + Float64(Float64(c * Float64(a * j)) - Float64(y * Float64(i * j)))) + Float64(z * Float64(Float64(x * y) - Float64(b * c))));
	else
		tmp = Float64(Float64(fma(x, t_1, Float64(fma(Float64(-a), t, Float64(t * a)) * Float64(x + x))) + t_2) + t_3);
	end
	return tmp
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(N[(x * t$95$1), $MachinePrecision] + t$95$2), $MachinePrecision] + t$95$3), $MachinePrecision]}, If[Or[LessEqual[t$95$4, -2e+284], N[Not[LessEqual[t$95$4, 1e+289]], $MachinePrecision]], N[(N[(N[(t * N[(N[(b * i), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision] - N[(y * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(x * y), $MachinePrecision] - N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(N[(x * t$95$1 + N[(N[((-a) * t + N[(t * a), $MachinePrecision]), $MachinePrecision] * N[(x + x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision] + t$95$3), $MachinePrecision]]]]]]

Target

Original	18.35%
Target	30.46%
Herbie	6.9%

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

Derivation

1. Split input into 2 regimes

2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < -2.00000000000000016e284 or 1.0000000000000001e289 < (+.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 73.88

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

   2. Simplified 73.88

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

      [Start] 73.88	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 73.88	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 73.88	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 73.88	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in z around -inf 43.3

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

   4. Simplified 39.16

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

      [Start] 43.3	\[ i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 43.3	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right)} \]
      mul-1-neg [=>] 43.3	\[ i \cdot \left(t \cdot b\right) + \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) + \color{blue}{\left(-\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)}\right) \]
      unsub-neg [=>] 43.3	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)} \]
      associate-+r- [=>] 43.3	\[ \color{blue}{\left(i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z} \]

   5. Taylor expanded in c around 0 25.5

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

   if -2.00000000000000016e284 < (+.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)))) < 1.0000000000000001e289

   1. Initial program 1.11

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

   2. Simplified 1.11

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

      [Start] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \color{blue}{\left(c \cdot a + \left(-y \cdot i\right)\right)} \]
      distribute-rgt-in [=>] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + \left(-y \cdot i\right) \cdot j\right)} \]
      associate-+r+ [=>] 1.11	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \left(-y \cdot i\right) \cdot j} \]
      *-commutative [=>] 1.11	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \color{blue}{j \cdot \left(-y \cdot i\right)} \]
      cancel-sign-sub [<=] 1.11	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) - \left(-j\right) \cdot \left(-y \cdot i\right)} \]
      associate-+r- [<=] 1.11	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [=>] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right) \]
      cancel-sign-sub [=>] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + j \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [<=] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j + \color{blue}{\left(-y \cdot i\right) \cdot j}\right) \]
      distribute-rgt-in [<=] 1.11	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{j \cdot \left(c \cdot a + \left(-y \cdot i\right)\right)} \]

   3. Applied egg-rr 1.14

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

   4. Simplified 1.13

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

      [Start] 1.14	\[ \left(\left(x \cdot \left(z \cdot y - t \cdot a\right) + \left(x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right) + x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right)\right)\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      fma-def [=>] 1.12	\[ \left(\color{blue}{\mathsf{fma}\left(x, z \cdot y - t \cdot a, x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right) + x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right)\right)} - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-rgt-out [=>] 1.13	\[ \left(\mathsf{fma}\left(x, z \cdot y - t \cdot a, \color{blue}{\mathsf{fma}\left(-a, t, t \cdot a\right) \cdot \left(x + x\right)}\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]

3. Recombined 2 regimes into one program.

4. Final simplification 6.9

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq -2 \cdot 10^{+284} \lor \neg \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq 10^{+289}\right):\\ \;\;\;\;\left(t \cdot \left(b \cdot i - x \cdot a\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(-a, t, t \cdot a\right) \cdot \left(x + x\right)\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	5.33%
Cost	19081

\[\begin{array}{l} t_1 := a \cdot c - y \cdot i\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_2 + j \cdot t_1\\ \mathbf{if}\;t_3 \leq -\infty \lor \neg \left(t_3 \leq 10^{+289}\right):\\ \;\;\;\;\left(t \cdot \left(b \cdot i - x \cdot a\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2 + \mathsf{fma}\left(j, t_1, \mathsf{fma}\left(-i, y, y \cdot i\right) \cdot \left(j + j\right)\right)\\ \end{array} \]

Alternative 2
Error	5.32%
Cost	11977

\[\begin{array}{l} t_1 := a \cdot c - y \cdot i\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_2 + j \cdot t_1\\ \mathbf{if}\;t_3 \leq -\infty \lor \neg \left(t_3 \leq 10^{+289}\right):\\ \;\;\;\;\left(t \cdot \left(b \cdot i - x \cdot a\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(j, t_1, t_2\right)\\ \end{array} \]

Alternative 3
Error	5.32%
Cost	5833

\[\begin{array}{l} t_1 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_1 \leq -\infty \lor \neg \left(t_1 \leq 10^{+289}\right):\\ \;\;\;\;\left(t \cdot \left(b \cdot i - x \cdot a\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 4
Error	8.98%
Cost	5705

\[\begin{array}{l} t_1 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_1 \leq -\infty \lor \neg \left(t_1 \leq 10^{+297}\right):\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 5
Error	8.46%
Cost	5704

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + t_2\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;\left(t_1 + t_2\right) - z \cdot \left(b \cdot c - x \cdot y\right)\\ \mathbf{elif}\;t_3 \leq 10^{+297}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternative 6
Error	41.05%
Cost	2932

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := a \cdot \left(x \cdot t\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_5 := t_1 + t_4\\ t_6 := t_4 - x \cdot \left(t \cdot a - y \cdot z\right)\\ t_7 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_8 := t_7 + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;c \leq -9.2 \cdot 10^{+48}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-50}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -4.8 \cdot 10^{-62}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-128}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -1.35 \cdot 10^{-145}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-194}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -9.8 \cdot 10^{-244}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right) - t_2\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-272}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 8.8 \cdot 10^{-287}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;c \leq 4.8 \cdot 10^{-240}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.08 \cdot 10^{-190}:\\ \;\;\;\;t_7 - t_2\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-55}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 7
Error	60.74%
Cost	2821

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;c \leq -7 \cdot 10^{+134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+94}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -0.0045:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-71}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-126}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -6.1 \cdot 10^{-133}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{elif}\;c \leq -1.6 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -2.65 \cdot 10^{-191}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -4.8 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.4 \cdot 10^{-277}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{-303}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 3.85 \cdot 10^{-206}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-99}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-53}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-10} \lor \neg \left(c \leq 5.5 \cdot 10^{-10}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \end{array} \]

Alternative 8
Error	44.11%
Cost	2801

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_2 - b \cdot \left(z \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -1.42 \cdot 10^{+72}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -1.85 \cdot 10^{-75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -4.1 \cdot 10^{-104}:\\ \;\;\;\;t_2 + i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-285}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-209}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 3 \cdot 10^{-153}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{-88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.08 \cdot 10^{-47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{-23}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+76} \lor \neg \left(j \leq 3 \cdot 10^{+163}\right) \land j \leq 1.4 \cdot 10^{+242}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 9
Error	61.15%
Cost	2689

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;c \leq -7 \cdot 10^{+134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.95 \cdot 10^{+93}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -0.0012:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.9 \cdot 10^{-50}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -4.4 \cdot 10^{-126}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-138}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;c \leq -3.7 \cdot 10^{-191}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6.2 \cdot 10^{-228}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-273}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-306}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-303}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-207}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-99}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.7 \cdot 10^{-13} \lor \neg \left(c \leq 0.26\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 10
Error	58.4%
Cost	2552

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := c \cdot j - x \cdot t\\ t_3 := a \cdot t_2\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.02 \cdot 10^{-22}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;y \leq -1.25 \cdot 10^{-142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{-166}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.5 \cdot 10^{-206}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-213}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -5.2 \cdot 10^{-253}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.56 \cdot 10^{-223}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-111}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-89}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq 3.45 \cdot 10^{-49}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-38}:\\ \;\;\;\;\frac{a}{\frac{1}{t_2}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 11
Error	58.47%
Cost	2552

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := c \cdot j - x \cdot t\\ t_3 := a \cdot t_2\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.22 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.02 \cdot 10^{-22}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-143}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -9.8 \cdot 10^{-167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -9 \cdot 10^{-208}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq -4.9 \cdot 10^{-216}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{-253}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-223}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2 \cdot 10^{-104}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;y \leq 1.18 \cdot 10^{-85}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{-49}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-39}:\\ \;\;\;\;\frac{a}{\frac{1}{t_2}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 12
Error	56.7%
Cost	2544

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_2 - b \cdot \left(z \cdot c\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -1.6 \cdot 10^{+143}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -2.7 \cdot 10^{-65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -9.2 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.35 \cdot 10^{-165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.8 \cdot 10^{-249}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{-296}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.06 \cdot 10^{-159}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-86}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;t \leq 2.76 \cdot 10^{-70}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1350:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{+63}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 13
Error	38.42%
Cost	2536

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := \left(y \cdot \left(x \cdot z\right) - y \cdot \left(i \cdot j\right)\right) + t_1\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right) + t_3\\ t_5 := t_3 - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{if}\;x \leq -8.6 \cdot 10^{+76}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + t_1\\ \mathbf{elif}\;x \leq -1.9 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2500000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-145}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 5.7 \cdot 10^{-306}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-234}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{-164}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.26 \cdot 10^{-113}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-73}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-20}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 14
Error	61.8%
Cost	2424

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;c \leq -7 \cdot 10^{+134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-5}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6.8 \cdot 10^{-65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-147}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.08 \cdot 10^{-159}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-191}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq -9.8 \cdot 10^{-225}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1 \cdot 10^{-276}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 5 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{-296}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-250}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 5 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.28 \cdot 10^{-48}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	61.11%
Cost	2424

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;c \leq -7 \cdot 10^{+134}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -3.3 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -0.00017:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -2.3 \cdot 10^{-51}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-126}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;c \leq -8 \cdot 10^{-135}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-191}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -3.2 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-276}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2 \cdot 10^{-303}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 7 \cdot 10^{-207}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-61}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 16
Error	62.4%
Cost	2293

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -7 \cdot 10^{+134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+94}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;c \leq -0.00034:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{-118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.7 \cdot 10^{-182}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.9 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.45 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.9 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{-254}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq 2.6 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.65 \cdot 10^{-49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-10} \lor \neg \left(c \leq 1.25 \cdot 10^{-5}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \end{array} \]

Alternative 17
Error	57.96%
Cost	2288

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := c \cdot j - x \cdot t\\ t_3 := a \cdot t_2\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.02 \cdot 10^{-22}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;y \leq -2.7 \cdot 10^{-140}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.9 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -5.3 \cdot 10^{-208}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{-214}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -1.7 \cdot 10^{-253}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 6.4 \cdot 10^{-115}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{-49}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-38}:\\ \;\;\;\;\frac{a}{\frac{1}{t_2}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 18
Error	35.82%
Cost	2272

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 - x \cdot \left(t \cdot a - y \cdot z\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -1.65 \cdot 10^{+88}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_3\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-53}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.26 \cdot 10^{-307}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 10^{-231}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 2.4 \cdot 10^{-208}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{-204}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{-165}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 29000000000:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 19
Error	35.76%
Cost	2272

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 - x \cdot \left(t \cdot a - y \cdot z\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -6 \cdot 10^{+87}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + t_3\\ \mathbf{elif}\;x \leq -2.5 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.9 \cdot 10^{-306}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 10^{-231}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{-208}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;x \leq 1.08 \cdot 10^{-204}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{-165}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 122000000000:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 20
Error	79.79%
Cost	2232

\[\begin{array}{l} t_1 := c \cdot \left(b \cdot \left(-z\right)\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := t \cdot \left(x \cdot \left(-a\right)\right)\\ t_5 := a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{if}\;c \leq -2.3 \cdot 10^{+186}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.6 \cdot 10^{+92}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -8.2 \cdot 10^{+35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -7.8 \cdot 10^{-35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-63}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{-191}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{-303}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{-206}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;c \leq 1.25 \cdot 10^{-141}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 4 \cdot 10^{-62}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-59}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{+50}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{elif}\;c \leq 2.6 \cdot 10^{+89}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 1.95 \cdot 10^{+202}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Error	58.33%
Cost	2160

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.15 \cdot 10^{+33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.7 \cdot 10^{+25}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3.35 \cdot 10^{-164}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.92 \cdot 10^{-208}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq -1.9 \cdot 10^{-216}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -1.85 \cdot 10^{-253}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.08 \cdot 10^{-277}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 9 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{-49}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 2 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Error	58.09%
Cost	2160

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -2 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{-23}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;y \leq -9 \cdot 10^{-142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -3.3 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.75 \cdot 10^{-203}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq -5 \cdot 10^{-216}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -2.6 \cdot 10^{-253}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.08 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-115}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.9 \cdot 10^{-49}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{-39}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 23
Error	78.93%
Cost	2100

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ t_3 := a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{if}\;a \leq -1.7 \cdot 10^{+217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -5.6 \cdot 10^{+94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.45 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-7}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -4.9 \cdot 10^{-55}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq -2.85 \cdot 10^{-164}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq -1.6 \cdot 10^{-304}:\\ \;\;\;\;z \cdot \left(c \cdot \left(-b\right)\right)\\ \mathbf{elif}\;a \leq 2.65 \cdot 10^{-191}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-179}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.35 \cdot 10^{-10}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{+31}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{+112}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Error	77.91%
Cost	2100

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_2 := y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+116}:\\ \;\;\;\;c \cdot \left(b \cdot \left(-z\right)\right)\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-63}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -9.6 \cdot 10^{-116}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-129}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{-156}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-171}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-233}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{-303}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-170}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{+16}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 1.08 \cdot 10^{+248}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(c \cdot \left(-b\right)\right)\\ \end{array} \]

Alternative 25
Error	50.57%
Cost	2016

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{if}\;x \leq -9.2 \cdot 10^{-29}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-145}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.25 \cdot 10^{-173}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{-198}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-232}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{-163}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;x \leq 10^{+24}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 26
Error	50.71%
Cost	2016

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right) - a \cdot \left(x \cdot t\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.4 \cdot 10^{-28}:\\ \;\;\;\;t_3 + i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;x \leq -1.95 \cdot 10^{-146}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -4 \cdot 10^{-175}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -6.4 \cdot 10^{-265}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-232}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{-163}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{+19}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3 - b \cdot \left(z \cdot c\right)\\ \end{array} \]

Alternative 27
Error	38.51%
Cost	2008

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 - x \cdot \left(t \cdot a - y \cdot z\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ \mathbf{if}\;t \leq -1.2 \cdot 10^{+74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{-268}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.7 \cdot 10^{-296}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.06 \cdot 10^{-159}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.65 \cdot 10^{-133}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;t \leq 3 \cdot 10^{-71}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 28
Error	77.41%
Cost	1968

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_2 := t \cdot \left(x \cdot \left(-a\right)\right)\\ t_3 := t \cdot \left(b \cdot i\right)\\ t_4 := a \cdot \left(c \cdot j\right)\\ t_5 := i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{if}\;a \leq -1.5 \cdot 10^{+67}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -0.0029:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.45 \cdot 10^{-54}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq -6.6 \cdot 10^{-167}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq -5.7 \cdot 10^{-183}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.45 \cdot 10^{-245}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-283}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-109}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-43}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.2 \cdot 10^{+34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{+111}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 29
Error	77.87%
Cost	1836

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_2 := z \cdot \left(c \cdot \left(-b\right)\right)\\ t_3 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;a \leq -2.4 \cdot 10^{+72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -0.24:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.4 \cdot 10^{-55}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq -2.4 \cdot 10^{-163}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-249}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-178}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-153}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-27}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-10}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+26}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+111}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 30
Error	77.12%
Cost	1705

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;a \leq -4.5 \cdot 10^{+65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -0.07:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.15 \cdot 10^{-56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{-228}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{-153}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 2.95 \cdot 10^{-75}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-44}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-10}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq 2.1 \cdot 10^{+34} \lor \neg \left(a \leq 4.1 \cdot 10^{+113}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 31
Error	77.23%
Cost	1705

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := a \cdot \left(c \cdot j\right)\\ \mathbf{if}\;a \leq -1.65 \cdot 10^{+66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -0.000235:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.8 \cdot 10^{-55}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 5.6 \cdot 10^{-228}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq 8 \cdot 10^{-157}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-77}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;a \leq 1.2 \cdot 10^{-43}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-10}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq 4 \cdot 10^{+31} \lor \neg \left(a \leq 7 \cdot 10^{+111}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 32
Error	64.52%
Cost	1632

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -7 \cdot 10^{+134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+94}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;c \leq -0.016:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{-118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.7 \cdot 10^{-191}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-243}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq 1.32 \cdot 10^{-61}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 33
Error	78.25%
Cost	1508

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z\right)\\ t_4 := t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;a \leq -1.45 \cdot 10^{+65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -0.00052:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-114}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-283}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 5 \cdot 10^{-108}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{-44}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-9}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 34
Error	78.21%
Cost	1508

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z\right)\\ t_4 := t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;a \leq -1 \cdot 10^{+68}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -0.00142:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-287}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3 \cdot 10^{-109}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.08 \cdot 10^{-75}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{-45}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-5}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+71}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 35
Error	78.37%
Cost	1508

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;a \leq -1.15 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -0.00048:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-114}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{-236}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 5 \cdot 10^{-154}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 4.5 \cdot 10^{-76}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{-9}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+71}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 36
Error	67.17%
Cost	1236

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -1.75 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.52 \cdot 10^{-164}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{-246}:\\ \;\;\;\;z \cdot \left(c \cdot \left(-b\right)\right)\\ \mathbf{elif}\;a \leq 3.7 \cdot 10^{-180}:\\ \;\;\;\;\frac{b}{\frac{1}{t \cdot i}}\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-57}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 37
Error	78.02%
Cost	585

\[\begin{array}{l} \mathbf{if}\;a \leq -3.6 \cdot 10^{-13} \lor \neg \left(a \leq 8 \cdot 10^{-72}\right):\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \end{array} \]

Alternative 38
Error	77.51%
Cost	585

\[\begin{array}{l} \mathbf{if}\;a \leq -1.8 \cdot 10^{-23} \lor \neg \left(a \leq 5 \cdot 10^{-73}\right):\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \end{array} \]

Alternative 39
Error	83.62%
Cost	320

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

Reproduce

herbie shell --seed 2023121 
(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)))))