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

Average Error: 12.4 → 5.6

Time: 52.2s

Precision: binary64

Cost: 12680

Math

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

↓

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := \left(t_2 + t_1\right) + t_3\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;\left(z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;t_4 \leq 2 \cdot 10^{+304}:\\ \;\;\;\;\left(\left(x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right) + t_2\right) + t_1\right) + t_3\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \end{array} \]

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 (* b (- (* t i) (* z c))))
        (t_2 (* x (- (* y z) (* t a))))
        (t_3 (* j (- (* a c) (* y i))))
        (t_4 (+ (+ t_2 t_1) t_3)))
   (if (<= t_4 (- INFINITY))
     (+ (- (* z (* x y)) (* z (* b c))) (- (* c (* a j)) (* y (* i j))))
     (if (<= t_4 2e+304)
       (+ (+ (+ (* x (fma (- a) t (* t a))) t_2) t_1) t_3)
       (+ (* t (- (* b i) (* x a))) (* z (- (* x y) (* b c))))))))

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 = b * ((t * i) - (z * c));
	double t_2 = x * ((y * z) - (t * a));
	double t_3 = j * ((a * c) - (y * i));
	double t_4 = (t_2 + t_1) + t_3;
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = ((z * (x * y)) - (z * (b * c))) + ((c * (a * j)) - (y * (i * j)));
	} else if (t_4 <= 2e+304) {
		tmp = (((x * fma(-a, t, (t * a))) + t_2) + t_1) + t_3;
	} else {
		tmp = (t * ((b * i) - (x * a))) + (z * ((x * y) - (b * c)));
	}
	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(b * Float64(Float64(t * i) - Float64(z * c)))
	t_2 = Float64(x * Float64(Float64(y * z) - Float64(t * a)))
	t_3 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_4 = Float64(Float64(t_2 + t_1) + t_3)
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(z * Float64(x * y)) - Float64(z * Float64(b * c))) + Float64(Float64(c * Float64(a * j)) - Float64(y * Float64(i * j))));
	elseif (t_4 <= 2e+304)
		tmp = Float64(Float64(Float64(Float64(x * fma(Float64(-a), t, Float64(t * a))) + t_2) + t_1) + t_3);
	else
		tmp = Float64(Float64(t * Float64(Float64(b * i) - Float64(x * a))) + Float64(z * Float64(Float64(x * y) - Float64(b * c))));
	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[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $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[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t$95$2 + t$95$1), $MachinePrecision] + t$95$3), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(N[(N[(z * N[(x * y), $MachinePrecision]), $MachinePrecision] - N[(z * N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision] - N[(y * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 2e+304], N[(N[(N[(N[(x * N[((-a) * t + N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision] + t$95$1), $MachinePrecision] + t$95$3), $MachinePrecision], N[(N[(t * N[(N[(b * i), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(x * y), $MachinePrecision] - N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	12.4
Target	20.3
Herbie	5.6

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

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 64.0

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

   2. Simplified 64.0

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

      [Start] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \color{blue}{\left(c \cdot a + \left(-y \cdot i\right)\right)} \]
      distribute-rgt-in [=>] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + \left(-y \cdot i\right) \cdot j\right)} \]
      associate-+r+ [=>] 64.0	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \left(-y \cdot i\right) \cdot j} \]
      *-commutative [=>] 64.0	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \color{blue}{j \cdot \left(-y \cdot i\right)} \]
      cancel-sign-sub [<=] 64.0	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) - \left(-j\right) \cdot \left(-y \cdot i\right)} \]
      associate-+r- [<=] 64.0	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [=>] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right) \]
      cancel-sign-sub [=>] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + j \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [<=] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j + \color{blue}{\left(-y \cdot i\right) \cdot j}\right) \]
      distribute-rgt-in [<=] 64.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{j \cdot \left(c \cdot a + \left(-y \cdot i\right)\right)} \]

   3. Taylor expanded in y around 0 44.4

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

   4. Taylor expanded in y around inf 31.8

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

   5. Simplified 33.3

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

      [Start] 31.8	\[ \left(y \cdot \left(z \cdot x\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]
      associate-*r* [=>] 43.0	\[ \left(\color{blue}{\left(y \cdot z\right) \cdot x} - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]
      *-commutative [=>] 43.0	\[ \left(\color{blue}{x \cdot \left(y \cdot z\right)} - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]
      associate-*r* [=>] 33.3	\[ \left(\color{blue}{\left(x \cdot y\right) \cdot z} - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]

   6. Taylor expanded in z around inf 29.0

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

   7. Simplified 28.9

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

      [Start] 29.0	\[ \left(\left(x \cdot y\right) \cdot z - c \cdot \left(z \cdot b\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]
      associate-*r* [=>] 35.2	\[ \left(\left(x \cdot y\right) \cdot z - \color{blue}{\left(c \cdot z\right) \cdot b}\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]
      *-commutative [=>] 35.2	\[ \left(\left(x \cdot y\right) \cdot z - \color{blue}{\left(z \cdot c\right)} \cdot b\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]
      associate-*l* [=>] 28.9	\[ \left(\left(x \cdot y\right) \cdot z - \color{blue}{z \cdot \left(c \cdot b\right)}\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + c \cdot \left(a \cdot j\right)\right) \]

   if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < 1.9999999999999999e304

   1. Initial program 0.8

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

   2. Simplified 0.8

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

      [Start] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      sub-neg [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \color{blue}{\left(c \cdot a + \left(-y \cdot i\right)\right)} \]
      distribute-rgt-in [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + \left(-y \cdot i\right) \cdot j\right)} \]
      associate-+r+ [=>] 0.8	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \left(-y \cdot i\right) \cdot j} \]
      *-commutative [=>] 0.8	\[ \left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) + \color{blue}{j \cdot \left(-y \cdot i\right)} \]
      cancel-sign-sub [<=] 0.8	\[ \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot a\right) \cdot j\right) - \left(-j\right) \cdot \left(-y \cdot i\right)} \]
      associate-+r- [<=] 0.8	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j - \left(-j\right) \cdot \left(-y \cdot i\right)\right) \]
      cancel-sign-sub [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{\left(\left(c \cdot a\right) \cdot j + j \cdot \left(-y \cdot i\right)\right)} \]
      *-commutative [<=] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \left(\left(c \cdot a\right) \cdot j + \color{blue}{\left(-y \cdot i\right) \cdot j}\right) \]
      distribute-rgt-in [<=] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{j \cdot \left(c \cdot a + \left(-y \cdot i\right)\right)} \]

   3. Applied egg-rr 0.8

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

   if 1.9999999999999999e304 < (+.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 60.9

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

   2. Simplified 60.9

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

      [Start] 60.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
      associate-+l- [=>] 60.9	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)} \]
      fma-neg [=>] 60.9	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\right)} \]
      neg-sub0 [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - t \cdot i\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      associate-+l- [<=] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)}\right) \]
      neg-sub0 [<=] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      distribute-rgt-neg-in [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - t \cdot i\right)\right)} + j \cdot \left(c \cdot a - y \cdot i\right)\right) \]
      fma-def [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - t \cdot i\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)}\right) \]
      sub-neg [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      distribute-neg-in [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-t \cdot i\right)\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      +-commutative [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-t \cdot i\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      remove-double-neg [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i} + \left(-c \cdot z\right), j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      sub-neg [<=] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{t \cdot i - c \cdot z}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot a - y \cdot i\right)\right)\right) \]
      *-commutative [=>] 60.9	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right)\right)\right) \]

   3. Taylor expanded in j around 0 55.3

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

   4. Taylor expanded in z around -inf 26.2

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

   5. Simplified 24.6

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

      [Start] 26.2	\[ i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right) + -1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\right) \]
      +-commutative [=>] 26.2	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right)} \]
      mul-1-neg [=>] 26.2	\[ i \cdot \left(t \cdot b\right) + \left(\color{blue}{\left(-a \cdot \left(t \cdot x\right)\right)} + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right) \]
      associate-*r* [=>] 33.9	\[ i \cdot \left(t \cdot b\right) + \left(\left(-\color{blue}{\left(a \cdot t\right) \cdot x}\right) + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right) \]
      distribute-lft-neg-out [<=] 33.9	\[ i \cdot \left(t \cdot b\right) + \left(\color{blue}{\left(-a \cdot t\right) \cdot x} + -1 \cdot \left(\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)\right) \]
      mul-1-neg [=>] 33.9	\[ i \cdot \left(t \cdot b\right) + \left(\left(-a \cdot t\right) \cdot x + \color{blue}{\left(-\left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)}\right) \]
      unsub-neg [=>] 33.9	\[ i \cdot \left(t \cdot b\right) + \color{blue}{\left(\left(-a \cdot t\right) \cdot x - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z\right)} \]
      associate-+r- [=>] 33.9	\[ \color{blue}{\left(i \cdot \left(t \cdot b\right) + \left(-a \cdot t\right) \cdot x\right) - \left(c \cdot b + -1 \cdot \left(y \cdot x\right)\right) \cdot z} \]

3. Recombined 3 regimes into one program.

4. Final simplification 5.6

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq -\infty:\\ \;\;\;\;\left(z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq 2 \cdot 10^{+304}:\\ \;\;\;\;\left(\left(x \cdot \mathsf{fma}\left(-a, t, t \cdot a\right) + x \cdot \left(y \cdot z - t \cdot a\right)\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	5.6
Cost	5704

\[\begin{array}{l} t_1 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;\left(z \cdot \left(x \cdot y\right) - z \cdot \left(b \cdot c\right)\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;t_1 \leq 2 \cdot 10^{+304}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \end{array} \]

Alternative 2
Error	17.9
Cost	2656

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := \left(t_1 - z \cdot \left(b \cdot c\right)\right) + t_2\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := t_5 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_7 := t_5 + t_2\\ \mathbf{if}\;z \leq -8 \cdot 10^{+118}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.7 \cdot 10^{-239}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right) + t_4\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{-150}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-98}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(t_1 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 6.3 \cdot 10^{-89}:\\ \;\;\;\;t_4 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+81}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 3
Error	18.4
Cost	2656

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(b \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := t_1 + t_4\\ t_6 := \left(t_3 - t_2\right) + t_4\\ t_7 := y \cdot \left(i \cdot j\right)\\ t_8 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;z \leq -2.15 \cdot 10^{+53}:\\ \;\;\;\;\left(z \cdot \left(x \cdot y\right) - t_2\right) + \left(c \cdot \left(a \cdot j\right) - t_7\right)\\ \mathbf{elif}\;z \leq -2.85 \cdot 10^{-162}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -4 \cdot 10^{-238}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right) + t_8\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-150}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-98}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(t_3 - t_7\right)\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-89}:\\ \;\;\;\;t_8 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 2.85 \cdot 10^{+82}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \end{array} \]

Alternative 4
Error	23.1
Cost	2401

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_1 + t_2\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := a \cdot \left(c \cdot j - x \cdot t\right) + t_2\\ \mathbf{if}\;a \leq -4.5 \cdot 10^{+63}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{-98}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.85 \cdot 10^{-232}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.7 \cdot 10^{-297}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 6.3 \cdot 10^{-51}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{+22} \lor \neg \left(a \leq 5.6 \cdot 10^{+77}\right) \land a \leq 2.4 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(t_1 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 5
Error	38.9
Cost	2293

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;i \leq -3.2 \cdot 10^{+139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.12 \cdot 10^{+116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -3.55 \cdot 10^{-13}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -8.2 \cdot 10^{-132}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -6.6 \cdot 10^{-169}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -9.5 \cdot 10^{-261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.5 \cdot 10^{-277}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{-218}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-195}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{-143}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{+41}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 3.95 \cdot 10^{+90} \lor \neg \left(i \leq 7 \cdot 10^{+157}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Error	38.9
Cost	2293

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;i \leq -3.2 \cdot 10^{+139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.12 \cdot 10^{+116}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -4.8 \cdot 10^{-13}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -8.2 \cdot 10^{-132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -4.4 \cdot 10^{-175}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-263}:\\ \;\;\;\;a \cdot \left(c \cdot j\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;i \leq 3.2 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 8.2 \cdot 10^{-232}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-195}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{-149}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{+42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 3.95 \cdot 10^{+90} \lor \neg \left(i \leq 7 \cdot 10^{+157}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 7
Error	35.9
Cost	2280

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -5.6 \cdot 10^{+17}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{-236}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-268}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{-289}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-172}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{-133}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-26}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5800000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{+84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.28 \cdot 10^{+144}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 8
Error	24.7
Cost	2272

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_1 + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;z \leq -1.15 \cdot 10^{+96}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5.2 \cdot 10^{-239}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-268}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-60}:\\ \;\;\;\;t_1 + t_5\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-41}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.4 \cdot 10^{-24}:\\ \;\;\;\;t_5 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+142}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 9
Error	38.9
Cost	2160

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -3.2 \cdot 10^{+139}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.12 \cdot 10^{+116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -1.6 \cdot 10^{-13}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.02 \cdot 10^{-84}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -8 \cdot 10^{-176}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -8.2 \cdot 10^{-261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 7.4 \cdot 10^{-277}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.3 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-195}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{-157}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 10^{+43}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Error	35.7
Cost	2148

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -4.3 \cdot 10^{+17}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-233}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-268}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.8 \cdot 10^{-290}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-133}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 2.25 \cdot 10^{-26}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4800000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{+97}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	22.6
Cost	2140

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_1 + t_2\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := t_4 + t_2\\ t_6 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_7 := a \cdot \left(c \cdot j - x \cdot t\right) + t_6\\ \mathbf{if}\;z \leq -1.58 \cdot 10^{+63}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -3.7 \cdot 10^{-239}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-268}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-57}:\\ \;\;\;\;t_1 + y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-42}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+84}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{+134}:\\ \;\;\;\;t_6 - a \cdot \left(x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 12
Error	20.9
Cost	2140

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := t_3 + t_1\\ t_5 := t_3 + t_2\\ t_6 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right) + t_6\\ \mathbf{if}\;z \leq -2.55 \cdot 10^{+20}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-238}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -3.5 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right) + t_6\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-150}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.2 \cdot 10^{-16}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 2150000000000:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{+118}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 13
Error	37.8
Cost	2028

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;i \leq -3.2 \cdot 10^{+139}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1.12 \cdot 10^{+116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -4.5 \cdot 10^{-13}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -2.45 \cdot 10^{-132}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{-169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -7.8 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2 \cdot 10^{-277}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.95 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-195}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 2.5 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{+42}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 14
Error	22.7
Cost	2008

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right) + t_1\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t_3 + t_1\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;z \leq -3.4 \cdot 10^{+55}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-237}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right) + t_5\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-150}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-17}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_5\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+84}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 4.3 \cdot 10^{+136}:\\ \;\;\;\;t_5 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{+275}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 15
Error	49.6
Cost	1768

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;t \leq -4.4 \cdot 10^{+164}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -900000000000:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -4.3 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;t \leq -8.6 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -6.4 \cdot 10^{-240}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t \leq -7.8 \cdot 10^{-274}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;t \leq 8.6 \cdot 10^{-256}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-128}:\\ \;\;\;\;\left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-38}:\\ \;\;\;\;\frac{a}{\frac{\frac{1}{c}}{j}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Error	42.4
Cost	1764

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;a \leq -2.4 \cdot 10^{-49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.15 \cdot 10^{-269}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-295}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 5.6 \cdot 10^{-304}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-206}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-170}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;a \leq 1.06 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 7.4 \cdot 10^{-76}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq 7.6 \cdot 10^{-55}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 17
Error	37.3
Cost	1764

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -4.8 \cdot 10^{+19}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-238}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-273}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{-300}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-171}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-106}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 1.08 \cdot 10^{-41}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 8 \cdot 10^{-24}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 18
Error	25.5
Cost	1746

\[\begin{array}{l} \mathbf{if}\;y \leq -260 \lor \neg \left(y \leq 9.5 \cdot 10^{-6} \lor \neg \left(y \leq 3.3 \cdot 10^{+62}\right) \land y \leq 5.4 \cdot 10^{+107}\right):\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ \end{array} \]

Alternative 19
Error	49.3
Cost	1704

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;t \leq -1.02 \cdot 10^{+170}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1020000000000:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -4.8 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;t \leq -3.6 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.7 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;t \leq 1.08 \cdot 10^{-182}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 8.2 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.56 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 2.85 \cdot 10^{+71}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	49.5
Cost	1704

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;t \leq -1.3 \cdot 10^{+165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1080000000000:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -3.9 \cdot 10^{-59}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;t \leq -3.6 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -8.4 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-274}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-256}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;t \leq 9 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.3 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6 \cdot 10^{+75}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Error	49.7
Cost	1704

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j\right)\\ t_3 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;t \leq -4.5 \cdot 10^{+174}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -950000000000:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{-240}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t \leq -3.9 \cdot 10^{-274}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{-255}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;t \leq 8 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-126}:\\ \;\;\;\;\left(z \cdot c\right) \cdot \left(-b\right)\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Error	41.7
Cost	1632

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;a \leq -4.5 \cdot 10^{-49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2 \cdot 10^{-200}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.4 \cdot 10^{-234}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-269}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7.5 \cdot 10^{-295}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{-214}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.9 \cdot 10^{-61}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 23
Error	36.9
Cost	1632

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;z \leq -5 \cdot 10^{+17}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-269}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6.8 \cdot 10^{-299}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.3 \cdot 10^{-173}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-106}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-60}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 5.1 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Error	37.3
Cost	1632

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.5 \cdot 10^{+16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-232}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-273}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{-300}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 1.02 \cdot 10^{-172}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq 1.56 \cdot 10^{-137}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{-35}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 25
Error	51.0
Cost	1244

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;i \leq -4.9 \cdot 10^{-14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -2.6 \cdot 10^{-305}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 9.2 \cdot 10^{-75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 5.2 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 3.3 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{+171}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \end{array} \]

Alternative 26
Error	51.0
Cost	1244

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;i \leq -7.2 \cdot 10^{-14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -1 \cdot 10^{-309}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 6.7 \cdot 10^{-75}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6.3 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.3 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 3.3 \cdot 10^{+160}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \end{array} \]

Alternative 27
Error	50.6
Cost	1112

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ t_2 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;x \leq -2.9 \cdot 10^{+55}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.05 \cdot 10^{-46}:\\ \;\;\;\;a \cdot \left(-x \cdot t\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-235}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;x \leq 1.65 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.3 \cdot 10^{-113}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Error	50.9
Cost	585

\[\begin{array}{l} \mathbf{if}\;t \leq -1080000000000 \lor \neg \left(t \leq 4.6 \cdot 10^{-82}\right):\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternative 29
Error	49.7
Cost	585

\[\begin{array}{l} \mathbf{if}\;t \leq -1020000000000 \lor \neg \left(t \leq 1.75 \cdot 10^{-82}\right):\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternative 30
Error	53.6
Cost	320

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

Alternative 31
Error	53.6
Cost	320

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

Reproduce

herbie shell --seed 2023031 
(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)))))