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

Average Accuracy: 80.6% → 92.0%

Time: 59.1s

Precision: binary64

Cost: 19080

Math

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

↓

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_1 + \left(t_2 + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;\left(t_1 + t_4\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t_3 \leq 10^{+298}:\\ \;\;\;\;t_1 + \left(t_2 - \mathsf{fma}\left(b, z \cdot c - t \cdot i, \mathsf{fma}\left(-i, t, t \cdot i\right) \cdot \left(b + b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_4 + c \cdot \left(a \cdot j\right)\right) - \mathsf{fma}\left(z, b \cdot c - x \cdot y, \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot \left(z + z\right)\right)\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (* j (- (* a c) (* y i))))
        (t_2 (* x (- (* y z) (* t a))))
        (t_3 (+ t_1 (+ t_2 (* b (- (* t i) (* z c))))))
        (t_4 (* t (- (* b i) (* x a)))))
   (if (<= t_3 (- INFINITY))
     (+ (+ t_1 t_4) (* z (- (* x y) (* b c))))
     (if (<= t_3 1e+298)
       (+
        t_1
        (- t_2 (fma b (- (* z c) (* t i)) (* (fma (- i) t (* t i)) (+ b b)))))
       (-
        (+ t_4 (* c (* a j)))
        (fma z (- (* b c) (* x y)) (* (fma (- x) y (* x y)) (+ z z))))))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = j * ((a * c) - (y * i));
	double t_2 = x * ((y * z) - (t * a));
	double t_3 = t_1 + (t_2 + (b * ((t * i) - (z * c))));
	double t_4 = t * ((b * i) - (x * a));
	double tmp;
	if (t_3 <= -((double) INFINITY)) {
		tmp = (t_1 + t_4) + (z * ((x * y) - (b * c)));
	} else if (t_3 <= 1e+298) {
		tmp = t_1 + (t_2 - fma(b, ((z * c) - (t * i)), (fma(-i, t, (t * i)) * (b + b))));
	} else {
		tmp = (t_4 + (c * (a * j))) - fma(z, ((b * c) - (x * y)), (fma(-x, y, (x * y)) * (z + z)));
	}
	return tmp;
}

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_2 = Float64(x * Float64(Float64(y * z) - Float64(t * a)))
	t_3 = Float64(t_1 + Float64(t_2 + Float64(b * Float64(Float64(t * i) - Float64(z * c)))))
	t_4 = Float64(t * Float64(Float64(b * i) - Float64(x * a)))
	tmp = 0.0
	if (t_3 <= Float64(-Inf))
		tmp = Float64(Float64(t_1 + t_4) + Float64(z * Float64(Float64(x * y) - Float64(b * c))));
	elseif (t_3 <= 1e+298)
		tmp = Float64(t_1 + Float64(t_2 - fma(b, Float64(Float64(z * c) - Float64(t * i)), Float64(fma(Float64(-i), t, Float64(t * i)) * Float64(b + b)))));
	else
		tmp = Float64(Float64(t_4 + Float64(c * Float64(a * j))) - fma(z, Float64(Float64(b * c) - Float64(x * y)), Float64(fma(Float64(-x), y, Float64(x * y)) * Float64(z + z))));
	end
	return tmp
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t$95$1 + N[(t$95$2 + N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t * N[(N[(b * i), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, (-Infinity)], N[(N[(t$95$1 + t$95$4), $MachinePrecision] + N[(z * N[(N[(x * y), $MachinePrecision] - N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$3, 1e+298], N[(t$95$1 + N[(t$95$2 - N[(b * N[(N[(z * c), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision] + N[(N[((-i) * t + N[(t * i), $MachinePrecision]), $MachinePrecision] * N[(b + b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(t$95$4 + N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(z * N[(N[(b * c), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision] + N[(N[((-x) * y + N[(x * y), $MachinePrecision]), $MachinePrecision] * N[(z + z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	80.6%
Target	69.0%
Herbie	92.0%

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

Derivation

1. Split input into 3 regimes

2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < -inf.0

   1. Initial program 0.0%

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

   2. Simplified 0.0%

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

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

   3. Taylor expanded in z around -inf 53.1%

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

   4. Simplified 60.6%

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

      [Start] 53.1	\[ i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 53.1	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right)} \]
      mul-1-neg [=>] 53.1	\[ i \cdot \left(t \cdot b\right) + \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) + \color{blue}{\left(-\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)}\right) \]
      unsub-neg [=>] 53.1	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)} \]
      associate-+r- [=>] 53.1	\[ \color{blue}{\left(i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z} \]

   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)))) < 9.9999999999999996e297

   1. Initial program 98.6%

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

   2. Simplified 98.6%

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

      [Start] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \color{blue}{\left(c \cdot a + \left(-y \cdot i\right)\right)} \]
      distribute-rgt-in [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + \left(-y \cdot i\right) \cdot j\right)} \]
      associate-+r+ [=>] 98.6	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \left(-y \cdot i\right) \cdot j} \]
      *-commutative [=>] 98.6	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \color{blue}{j \cdot \left(-y \cdot i\right)} \]
      cancel-sign-sub [<=] 98.6	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) - \left(-j\right) \cdot \left(-y \cdot i\right)} \]
      associate-+r- [<=] 98.6	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right) \]
      cancel-sign-sub [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + j \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j + \color{blue}{\left(-y \cdot i\right) \cdot j}\right) \]
      distribute-rgt-in [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{j \cdot \left(c \cdot a + \left(-y \cdot i\right)\right)} \]

   3. Applied egg-rr 98.6%

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

      [Start] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      prod-diff [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \color{blue}{\left(\mathsf{fma}\left(z, c, -i \cdot t\right) + \mathsf{fma}\left(-i, t, i \cdot t\right)\right)}\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\mathsf{fma}\left(z, c, -\color{blue}{t \cdot i}\right) + \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      fma-neg [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{\left(z \cdot c - t \cdot i\right)} + \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-lft-in [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{\left(b \cdot \left(z \cdot c - t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)}\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      prod-diff [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \color{blue}{\left(\mathsf{fma}\left(z, c, -i \cdot t\right) + \mathsf{fma}\left(-i, t, i \cdot t\right)\right)} + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(\mathsf{fma}\left(z, c, -\color{blue}{t \cdot i}\right) + \mathsf{fma}\left(-i, t, i \cdot t\right)\right) + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      fma-neg [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(\color{blue}{\left(z \cdot c - t \cdot i\right)} + \mathsf{fma}\left(-i, t, i \cdot t\right)\right) + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-lft-in [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(\color{blue}{\left(b \cdot \left(z \cdot c - t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)} + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      associate-+l+ [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{\left(b \cdot \left(z \cdot c - t \cdot i\right) + \left(b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right) + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right)}\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(z \cdot c - t \cdot i\right) + \left(b \cdot \mathsf{fma}\left(-i, t, \color{blue}{t \cdot i}\right) + b \cdot \mathsf{fma}\left(-i, t, i \cdot t\right)\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(z \cdot c - t \cdot i\right) + \left(b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, \color{blue}{t \cdot i}\right)\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]

   4. Simplified 98.6%

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

      [Start] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(z \cdot c - t \cdot i\right) + \left(b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      fma-def [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{\mathsf{fma}\left(b, z \cdot c - t \cdot i, b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right)}\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [<=] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \mathsf{fma}\left(b, \color{blue}{c \cdot z} - t \cdot i, b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \mathsf{fma}\left(b, c \cdot z - \color{blue}{i \cdot t}, b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      distribute-rgt-out [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \mathsf{fma}\left(b, c \cdot z - i \cdot t, \color{blue}{\mathsf{fma}\left(-i, t, t \cdot i\right) \cdot \left(b + b\right)}\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]
      *-commutative [=>] 98.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \mathsf{fma}\left(b, c \cdot z - i \cdot t, \mathsf{fma}\left(-i, t, \color{blue}{i \cdot t}\right) \cdot \left(b + b\right)\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \]

   if 9.9999999999999996e297 < (+.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 11.9%

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

   2. Simplified 11.9%

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

      [Start] 11.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 11.9	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 11.9	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 11.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in z around -inf 54.6%

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

   4. Simplified 59.8%

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

      [Start] 54.6	\[ i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 54.6	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right)} \]
      mul-1-neg [=>] 54.6	\[ i \cdot \left(t \cdot b\right) + \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) + \color{blue}{\left(-\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)}\right) \]
      unsub-neg [=>] 54.6	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)} \]
      associate-+r- [=>] 54.6	\[ \color{blue}{\left(i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z} \]

   5. Applied egg-rr 59.8%

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

      [Start] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - z \cdot \left(c \cdot b - y \cdot x\right) \]
      prod-diff [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - z \cdot \color{blue}{\left(\mathsf{fma}\left(c, b, -x \cdot y\right) + \mathsf{fma}\left(-x, y, x \cdot y\right)\right)} \]
      *-commutative [<=] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - z \cdot \left(\mathsf{fma}\left(c, b, -\color{blue}{y \cdot x}\right) + \mathsf{fma}\left(-x, y, x \cdot y\right)\right) \]
      fma-neg [<=] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - z \cdot \left(\color{blue}{\left(c \cdot b - y \cdot x\right)} + \mathsf{fma}\left(-x, y, x \cdot y\right)\right) \]
      distribute-lft-in [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \color{blue}{\left(z \cdot \left(c \cdot b - y \cdot x\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)} \]
      prod-diff [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \color{blue}{\left(\mathsf{fma}\left(c, b, -x \cdot y\right) + \mathsf{fma}\left(-x, y, x \cdot y\right)\right)} + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right) \]
      *-commutative [<=] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \left(\mathsf{fma}\left(c, b, -\color{blue}{y \cdot x}\right) + \mathsf{fma}\left(-x, y, x \cdot y\right)\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right) \]
      fma-neg [<=] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \left(\color{blue}{\left(c \cdot b - y \cdot x\right)} + \mathsf{fma}\left(-x, y, x \cdot y\right)\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right) \]
      distribute-lft-in [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(\color{blue}{\left(z \cdot \left(c \cdot b - y \cdot x\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)} + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right) \]
      associate-+l+ [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \color{blue}{\left(z \cdot \left(c \cdot b - y \cdot x\right) + \left(z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)\right)} \]
      *-commutative [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \left(\color{blue}{b \cdot c} - y \cdot x\right) + \left(z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)\right) \]
      fma-neg [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \color{blue}{\mathsf{fma}\left(b, c, -y \cdot x\right)} + \left(z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)\right) \]
      *-commutative [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \mathsf{fma}\left(b, c, -\color{blue}{x \cdot y}\right) + \left(z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)\right) \]

   6. Simplified 59.8%

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

      [Start] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \mathsf{fma}\left(b, c, -x \cdot y\right) + \left(z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right) + z \cdot \mathsf{fma}\left(-x, y, x \cdot y\right)\right)\right) \]
      distribute-lft-out [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \mathsf{fma}\left(b, c, -x \cdot y\right) + \color{blue}{z \cdot \left(\mathsf{fma}\left(-x, y, x \cdot y\right) + \mathsf{fma}\left(-x, y, x \cdot y\right)\right)}\right) \]
      distribute-rgt-out [<=] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \left(z \cdot \mathsf{fma}\left(b, c, -x \cdot y\right) + \color{blue}{\left(\mathsf{fma}\left(-x, y, x \cdot y\right) \cdot z + \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot z\right)}\right) \]
      fma-def [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \color{blue}{\mathsf{fma}\left(z, \mathsf{fma}\left(b, c, -x \cdot y\right), \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot z + \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot z\right)} \]
      fma-neg [<=] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \mathsf{fma}\left(z, \color{blue}{b \cdot c - x \cdot y}, \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot z + \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot z\right) \]
      distribute-lft-out [=>] 59.8	\[ \left(t \cdot \left(i \cdot b - a \cdot x\right) + j \cdot \left(c \cdot a - i \cdot y\right)\right) - \mathsf{fma}\left(z, b \cdot c - x \cdot y, \color{blue}{\mathsf{fma}\left(-x, y, x \cdot y\right) \cdot \left(z + z\right)}\right) \]

   7. Taylor expanded in c around inf 67.8%

      \[\leadsto \left(t \cdot \left(i \cdot b - a \cdot x\right) + \color{blue}{c \cdot \left(a \cdot j\right)}\right) - \mathsf{fma}\left(z, b \cdot c - x \cdot y, \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot \left(z + z\right)\right) \]
3. Recombined 3 regimes into one program.

4. Final simplification 92.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq -\infty:\\ \;\;\;\;\left(j \cdot \left(a \cdot c - y \cdot i\right) + t \cdot \left(b \cdot i - x \cdot a\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq 10^{+298}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) - \mathsf{fma}\left(b, z \cdot c - t \cdot i, \mathsf{fma}\left(-i, t, t \cdot i\right) \cdot \left(b + b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\right) - \mathsf{fma}\left(z, b \cdot c - x \cdot y, \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot \left(z + z\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	92.0%
Cost	18824

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;\left(t_2 + t_1\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t_3 \leq 10^{+298}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 + c \cdot \left(a \cdot j\right)\right) - \mathsf{fma}\left(z, b \cdot c - x \cdot y, \mathsf{fma}\left(-x, y, x \cdot y\right) \cdot \left(z + z\right)\right)\\ \end{array} \]

Alternative 2
Accuracy	90.9%
Cost	5705

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_2 \leq -\infty \lor \neg \left(t_2 \leq 2 \cdot 10^{+292}\right):\\ \;\;\;\;\left(t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Accuracy	85.8%
Cost	5704

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+299}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\\ \end{array} \]

Alternative 4
Accuracy	67.9%
Cost	2788

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := \left(t_1 + y \cdot \left(x \cdot z\right)\right) - c \cdot \left(z \cdot b\right)\\ t_3 := t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := t_3 - b \cdot \left(z \cdot c\right)\\ t_5 := i \cdot \left(y \cdot j\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := \left(t_6 + i \cdot \left(t \cdot b\right)\right) - t_5\\ \mathbf{if}\;i \leq -4.5 \cdot 10^{+137}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{+102}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -33000000:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq -5 \cdot 10^{-93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{-141}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -2.15 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.6 \cdot 10^{-217}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 7 \cdot 10^{-63}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{elif}\;i \leq 3.4 \cdot 10^{+148}:\\ \;\;\;\;\left(t_6 + b \cdot \left(t \cdot i - z \cdot c\right)\right) - t_5\\ \mathbf{elif}\;i \leq 1.02 \cdot 10^{+219}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 5
Accuracy	65.7%
Cost	2656

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := \left(t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\right) - b \cdot \left(z \cdot c\right)\\ t_3 := i \cdot \left(y \cdot j\right)\\ t_4 := \left(y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) - t_3\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_1 + t_5\\ t_7 := \left(t_5 + i \cdot \left(t \cdot b\right)\right) - t_3\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{+213}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -3.6 \cdot 10^{+55}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -7 \cdot 10^{+33}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-66}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -1.05 \cdot 10^{-73}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-136}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-275}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.45 \cdot 10^{-86}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 6
Accuracy	65.1%
Cost	2405

\[\begin{array}{l} t_1 := t \cdot i - z \cdot c\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := \left(y \cdot \left(x \cdot z\right) + b \cdot t_1\right) - i \cdot \left(y \cdot j\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := t_4 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := t_4 + t_2\\ \mathbf{if}\;j \leq -3.6 \cdot 10^{+111}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -3.6 \cdot 10^{+36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -1.36 \cdot 10^{-67}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -2.9 \cdot 10^{-177}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 10^{-173}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{elif}\;j \leq 1.42 \cdot 10^{-46}:\\ \;\;\;\;t_2 + \frac{b}{\frac{1}{t_1}}\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{+16}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 8.4 \cdot 10^{+39} \lor \neg \left(j \leq 2.4 \cdot 10^{+82}\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 7
Accuracy	66.0%
Cost	2405

\[\begin{array}{l} t_1 := t \cdot i - z \cdot c\\ t_2 := b \cdot t_1\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ t_5 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_6 := t_5 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_7 := t_5 + t_3\\ \mathbf{if}\;j \leq -3.7 \cdot 10^{+111}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -3 \cdot 10^{+38}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -9 \cdot 10^{-90}:\\ \;\;\;\;\left(t_5 + t_4\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-308}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{elif}\;j \leq 1.16 \cdot 10^{-258}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-47}:\\ \;\;\;\;t_3 + \frac{b}{\frac{1}{t_1}}\\ \mathbf{elif}\;j \leq 2.4 \cdot 10^{+17}:\\ \;\;\;\;\left(t_4 + t_2\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{+41} \lor \neg \left(j \leq 1.1 \cdot 10^{+84}\right):\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 8
Accuracy	46.2%
Cost	2280

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 + i \cdot \left(t \cdot b\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right) + x \cdot \left(y \cdot z\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -5.2 \cdot 10^{+171}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1350000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -9.6 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-243}:\\ \;\;\;\;t_1 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;z \leq -6.2 \cdot 10^{-276}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-299}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 5.9 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.75 \cdot 10^{-16}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.05 \cdot 10^{+22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{+67}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 9
Accuracy	60.5%
Cost	2272

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right) + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{if}\;z \leq -6.8 \cdot 10^{+90}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -7.5 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9.8 \cdot 10^{-138}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-107}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-60}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq 24000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.05 \cdot 10^{+63}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 10
Accuracy	63.5%
Cost	2268

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := i \cdot \left(y \cdot j\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := \left(t_3 + b \cdot \left(t \cdot i - z \cdot c\right)\right) - t_2\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_1 + t_5\\ \mathbf{if}\;x \leq -1.3 \cdot 10^{+33}:\\ \;\;\;\;\left(t_5 + i \cdot \left(t \cdot b\right)\right) - t_2\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-66}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -1.45 \cdot 10^{-74}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -9.8 \cdot 10^{-136}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{elif}\;x \leq 1.42 \cdot 10^{-269}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.62 \cdot 10^{-177}:\\ \;\;\;\;t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-74}:\\ \;\;\;\;\left(t_1 + t_3\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 11
Accuracy	50.5%
Cost	2148

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -1.45 \cdot 10^{+31}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{-83}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{-130}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-29}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{+84}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{+98}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{+187}:\\ \;\;\;\;t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 12
Accuracy	55.1%
Cost	2141

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ t_2 := x \cdot \left(y \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -2 \cdot 10^{+43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -45000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -5.6 \cdot 10^{-262}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-284}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 9 \cdot 10^{-49} \lor \neg \left(y \leq 3.8 \cdot 10^{+31}\right) \land y \leq 1.35 \cdot 10^{+195}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 13
Accuracy	64.8%
Cost	2136

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := t_2 + t_1\\ t_5 := t \cdot i - z \cdot c\\ \mathbf{if}\;j \leq -3 \cdot 10^{+111}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -5.7 \cdot 10^{-90}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-308}:\\ \;\;\;\;t_1 + b \cdot t_5\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-229}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \leq 0.24:\\ \;\;\;\;t_1 + \frac{b}{\frac{1}{t_5}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 14
Accuracy	62.8%
Cost	2008

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := t_2 + t_1\\ \mathbf{if}\;j \leq -1.5 \cdot 10^{+111}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -7.2 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -6.4 \cdot 10^{-7}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 9.2 \cdot 10^{-165}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) - x \cdot \left(t \cdot a - y \cdot z\right)\\ \mathbf{elif}\;j \leq 7.2 \cdot 10^{-29}:\\ \;\;\;\;t_1 + i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+83}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 15
Accuracy	64.9%
Cost	2008

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := t_3 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := t_3 + t_1\\ \mathbf{if}\;j \leq -2.95 \cdot 10^{+111}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -3.5 \cdot 10^{+36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-90}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-308}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-229}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \leq 1.1:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 16
Accuracy	39.2%
Cost	1896

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -7.5 \cdot 10^{+27}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{-94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.36 \cdot 10^{-170}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-232}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{-170}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{-105}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t \leq 4.3 \cdot 10^{+46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5 \cdot 10^{+83}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;t \leq 1.6 \cdot 10^{+98}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 17
Accuracy	44.6%
Cost	1885

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -5.8 \cdot 10^{+40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-248}:\\ \;\;\;\;t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{-158}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-51} \lor \neg \left(y \leq 5.3 \cdot 10^{+35}\right) \land y \leq 6.6 \cdot 10^{+194}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Accuracy	50.4%
Cost	1752

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right) + x \cdot \left(y \cdot z\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -8.8 \cdot 10^{+32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.05 \cdot 10^{-111}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.42 \cdot 10^{-170}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.3 \cdot 10^{+115}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Accuracy	33.7%
Cost	1632

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -1.7 \cdot 10^{-79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-175}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.55 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 4.1 \cdot 10^{-193}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-145}:\\ \;\;\;\;y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{-16}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Accuracy	38.4%
Cost	1632

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.55 \cdot 10^{+29}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.4 \cdot 10^{-280}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.75 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-146}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{+29}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Accuracy	38.3%
Cost	1632

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.4 \cdot 10^{+29}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.4 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -8.6 \cdot 10^{-278}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-297}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-177}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{-45}:\\ \;\;\;\;x \cdot \left(y \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{+29}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Accuracy	41.2%
Cost	1236

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -44000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{-16}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{+83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{+107}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 23
Accuracy	21.0%
Cost	1112

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := \left(x \cdot t\right) \cdot \left(-a\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -6 \cdot 10^{+165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -340000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6 \cdot 10^{-243}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.52 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Accuracy	20.9%
Cost	1044

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(-i \cdot j\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -6 \cdot 10^{+165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.46 \cdot 10^{-108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-246}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.4 \cdot 10^{-289}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-107}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 25
Accuracy	21.0%
Cost	1044

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -1.8 \cdot 10^{+167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.05 \cdot 10^{-245}:\\ \;\;\;\;y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-255}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{-108}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 26
Accuracy	19.0%
Cost	980

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ \mathbf{if}\;t \leq -2.7 \cdot 10^{+28}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;t \leq 4.4 \cdot 10^{-293}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-232}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{+64}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{+99}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 27
Accuracy	34.5%
Cost	972

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -3.4 \cdot 10^{-43}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7 \cdot 10^{-154}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-137}:\\ \;\;\;\;i \cdot \left(-y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 28
Accuracy	18.5%
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -6 \cdot 10^{+23} \lor \neg \left(c \leq 1.5 \cdot 10^{+102}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 29
Accuracy	20.5%
Cost	585

\[\begin{array}{l} \mathbf{if}\;j \leq -1.8 \cdot 10^{-15} \lor \neg \left(j \leq 4.1 \cdot 10^{+47}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \end{array} \]

Alternative 30
Accuracy	22.9%
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -0.47 \lor \neg \left(c \leq 1.85 \cdot 10^{-11}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 31
Accuracy	16.7%
Cost	320

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

Reproduce

herbie shell --seed 2023135 
(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)))))