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

Average Error: 12.1 → 8.4

Time: 1.3min

Precision: binary64

Cost: 5832

Math

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

↓

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

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

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

Java

public static 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)));
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = x * ((y * z) - (t * a));
	double t_2 = j * ((a * c) - (y * i));
	double t_3 = (t_1 + (b * ((t * i) - (z * c)))) + t_2;
	double tmp;
	if (t_3 <= -Double.POSITIVE_INFINITY) {
		tmp = ((y * (x * z)) - (i * ((y * j) - (t * b)))) - (c * (z * b));
	} else if (t_3 <= Double.POSITIVE_INFINITY) {
		tmp = t_2 + (t_1 + ((b * (t * i)) - (b * (z * c))));
	} else {
		tmp = (c * ((a * j) - (z * b))) + (y * ((x * z) - (i * j)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j):
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)))

↓

def code(x, y, z, t, a, b, c, i, j):
	t_1 = x * ((y * z) - (t * a))
	t_2 = j * ((a * c) - (y * i))
	t_3 = (t_1 + (b * ((t * i) - (z * c)))) + t_2
	tmp = 0
	if t_3 <= -math.inf:
		tmp = ((y * (x * z)) - (i * ((y * j) - (t * b)))) - (c * (z * b))
	elif t_3 <= math.inf:
		tmp = t_2 + (t_1 + ((b * (t * i)) - (b * (z * c))))
	else:
		tmp = (c * ((a * j) - (z * b))) + (y * ((x * z) - (i * j)))
	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(x * Float64(Float64(y * z) - Float64(t * a)))
	t_2 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_3 = Float64(Float64(t_1 + Float64(b * Float64(Float64(t * i) - Float64(z * c)))) + t_2)
	tmp = 0.0
	if (t_3 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(y * Float64(x * z)) - Float64(i * Float64(Float64(y * j) - Float64(t * b)))) - Float64(c * Float64(z * b)));
	elseif (t_3 <= Inf)
		tmp = Float64(t_2 + Float64(t_1 + Float64(Float64(b * Float64(t * i)) - Float64(b * Float64(z * c)))));
	else
		tmp = Float64(Float64(c * Float64(Float64(a * j) - Float64(z * b))) + Float64(y * Float64(Float64(x * z) - Float64(i * j))));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j)
	tmp = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)));
end

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = x * ((y * z) - (t * a));
	t_2 = j * ((a * c) - (y * i));
	t_3 = (t_1 + (b * ((t * i) - (z * c)))) + t_2;
	tmp = 0.0;
	if (t_3 <= -Inf)
		tmp = ((y * (x * z)) - (i * ((y * j) - (t * b)))) - (c * (z * b));
	elseif (t_3 <= Inf)
		tmp = t_2 + (t_1 + ((b * (t * i)) - (b * (z * c))));
	else
		tmp = (c * ((a * j) - (z * b))) + (y * ((x * z) - (i * j)));
	end
	tmp_2 = 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[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t$95$1 + N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]}, If[LessEqual[t$95$3, (-Infinity)], N[(N[(N[(y * N[(x * z), $MachinePrecision]), $MachinePrecision] - N[(i * N[(N[(y * j), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$3, Infinity], N[(t$95$2 + N[(t$95$1 + N[(N[(b * N[(t * i), $MachinePrecision]), $MachinePrecision] - N[(b * N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(c * N[(N[(a * j), $MachinePrecision] - N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(x * z), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	12.1
Target	19.3
Herbie	8.4

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

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. Taylor expanded in c around 0 50.3

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

   3. Simplified 50.3

      \[\leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \color{blue}{i \cdot \left(y \cdot \left(-j\right)\right)} \]
      Proof
      (*.f64 i (*.f64 y (neg.f64 j))): 0 points increase in error, 0 points decrease in error
      (*.f64 i (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 y j)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 i (*.f64 y j)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 i (*.f64 y j)))): 0 points increase in error, 0 points decrease in error

   4. Taylor expanded in i around -inf 31.3

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

   5. Taylor expanded in y around inf 27.3

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

   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)))) < +inf.0

   1. Initial program 6.5

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

   2. Applied egg-rr 6.5

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

   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. 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

      \[\leadsto \color{blue}{\mathsf{fma}\left(x, \mathsf{fma}\left(y, z, a \cdot \left(-t\right)\right), \mathsf{fma}\left(b, \mathsf{fma}\left(z, -c, t \cdot i\right), j \cdot \left(a \cdot c - y \cdot i\right)\right)\right)} \]
      Proof
      (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (fma.f64 b (fma.f64 z (neg.f64 c) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (fma.f64 y z (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 a t)))) (fma.f64 b (fma.f64 z (neg.f64 c) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (fma.f64 y z (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 t a)))) (fma.f64 b (fma.f64 z (neg.f64 c) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (Rewrite<= fma-neg_binary64 (-.f64 (*.f64 y z) (*.f64 t a))) (fma.f64 b (fma.f64 z (neg.f64 c) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (Rewrite=> fma-udef_binary64 (+.f64 (*.f64 z (neg.f64 c)) (*.f64 t i))) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 z c))) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (+.f64 (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 c z))) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 c z))) (*.f64 t i)) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (Rewrite<= associate--r-_binary64 (-.f64 0 (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (Rewrite<= neg-sub0_binary64 (neg.f64 (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 t i))) (*.f64 j (-.f64 (Rewrite<= *-commutative_binary64 (*.f64 c a)) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (Rewrite<= fma-def_binary64 (+.f64 (*.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))): 0 points increase in error, 1 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (+.f64 (neg.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (Rewrite<= remove-double-neg_binary64 (neg.f64 (neg.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))) (neg.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (neg.f64 (Rewrite<= sub-neg_binary64 (-.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-neg_binary64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (-.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))): 2 points increase in error, 0 points decrease in error
      (Rewrite<= associate-+l-_binary64 (+.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))))): 0 points increase in error, 0 points decrease in error

   3. Taylor expanded in t around 0 52.3

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

   4. Simplified 22.0

      \[\leadsto \color{blue}{c \cdot \left(a \cdot j - b \cdot z\right) + y \cdot \left(z \cdot x - i \cdot j\right)} \]
      Proof
      (+.f64 (*.f64 c (-.f64 (*.f64 a j) (*.f64 b z))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 c (-.f64 (*.f64 a j) (Rewrite<= *-commutative_binary64 (*.f64 z b)))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 c (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 a j) (neg.f64 (*.f64 z b))))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 c (+.f64 (Rewrite<= remove-double-neg_binary64 (neg.f64 (neg.f64 (*.f64 a j)))) (neg.f64 (*.f64 z b)))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 c (+.f64 (neg.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a j)))) (neg.f64 (*.f64 z b)))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 c (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 (*.f64 -1 (*.f64 a j)) (*.f64 z b))))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 c (neg.f64 (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j)))))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j)))))) (*.f64 y (-.f64 (*.f64 z x) (*.f64 i j)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 z x) (neg.f64 (*.f64 i j)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (+.f64 (*.f64 z x) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 i j)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 -1 (*.f64 i j)) (*.f64 z x))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (+.f64 (*.f64 -1 (*.f64 i j)) (Rewrite<= remove-double-neg_binary64 (neg.f64 (neg.f64 (*.f64 z x))))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (+.f64 (*.f64 -1 (*.f64 i j)) (neg.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 z x))))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 i j))) (neg.f64 (*.f64 -1 (*.f64 z x)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (*.f64 y (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x))))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (neg.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j))))) (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x))))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-neg-in_binary64 (neg.f64 (+.f64 (*.f64 c (+.f64 (*.f64 z b) (*.f64 -1 (*.f64 a j)))) (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x))))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (+.f64 (*.f64 c (+.f64 (*.f64 z b) (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 a j))))) (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x)))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (+.f64 (*.f64 c (Rewrite=> unsub-neg_binary64 (-.f64 (*.f64 z b) (*.f64 a j)))) (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x)))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (+.f64 (Rewrite<= distribute-lft-out--_binary64 (-.f64 (*.f64 c (*.f64 z b)) (*.f64 c (*.f64 a j)))) (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x)))))): 1 points increase in error, 0 points decrease in error
      (neg.f64 (+.f64 (-.f64 (*.f64 c (Rewrite=> *-commutative_binary64 (*.f64 b z))) (*.f64 c (*.f64 a j))) (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x)))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (Rewrite<= associate--r-_binary64 (-.f64 (*.f64 c (*.f64 b z)) (-.f64 (*.f64 c (*.f64 a j)) (*.f64 y (+.f64 (*.f64 i j) (*.f64 -1 (*.f64 z x)))))))): 1 points increase in error, 0 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (-.f64 (*.f64 c (*.f64 a j)) (*.f64 y (+.f64 (*.f64 i j) (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 z x)))))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (-.f64 (*.f64 c (*.f64 a j)) (*.f64 y (Rewrite=> unsub-neg_binary64 (-.f64 (*.f64 i j) (*.f64 z x))))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (-.f64 (*.f64 c (*.f64 a j)) (Rewrite<= distribute-lft-out--_binary64 (-.f64 (*.f64 y (*.f64 i j)) (*.f64 y (*.f64 z x))))))): 0 points increase in error, 1 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 (*.f64 c (*.f64 a j)) (*.f64 y (*.f64 i j))) (*.f64 y (*.f64 z x)))))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (+.f64 (-.f64 (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 c a) j)) (*.f64 y (*.f64 i j))) (*.f64 y (*.f64 z x))))): 16 points increase in error, 18 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (+.f64 (-.f64 (*.f64 (*.f64 c a) j) (Rewrite=> associate-*r*_binary64 (*.f64 (*.f64 y i) j))) (*.f64 y (*.f64 z x))))): 16 points increase in error, 12 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (+.f64 (Rewrite=> distribute-rgt-out--_binary64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) (*.f64 y (*.f64 z x))))): 1 points increase in error, 1 points decrease in error
      (neg.f64 (-.f64 (*.f64 c (*.f64 b z)) (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 y (*.f64 z x)) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= sub0-neg_binary64 (-.f64 0 (-.f64 (*.f64 c (*.f64 b z)) (+.f64 (*.f64 y (*.f64 z x)) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-+l-_binary64 (+.f64 (-.f64 0 (*.f64 c (*.f64 b z))) (+.f64 (*.f64 y (*.f64 z x)) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= neg-sub0_binary64 (neg.f64 (*.f64 c (*.f64 b z)))) (+.f64 (*.f64 y (*.f64 z x)) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 c (*.f64 b z)))) (+.f64 (*.f64 y (*.f64 z x)) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
3. Recombined 3 regimes into one program.

4. Final simplification 8.4

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

Alternatives

Alternative 1
Error	8.4
Cost	5704

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

Alternative 2
Error	34.6
Cost	3072

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_3 - t_1\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_6 := t_2 + j \cdot \left(a \cdot c\right)\\ t_7 := t_2 - t \cdot \left(x \cdot a\right)\\ \mathbf{if}\;b \leq -1.25 \cdot 10^{+225}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -5.8 \cdot 10^{+98}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -4853963102.141911:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq -0.00014380059749055323:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.5954413500195162 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;b \leq -5.0135110193860336 \cdot 10^{-105}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -1.7924191523711016 \cdot 10^{-120}:\\ \;\;\;\;t_2 - t_1\\ \mathbf{elif}\;b \leq -5.81676132331651 \cdot 10^{-187}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;b \leq -2.2324801217975904 \cdot 10^{-202}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;b \leq -2.399863852173308 \cdot 10^{-265}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 2.0487701947422934 \cdot 10^{-247}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq 5.845492567294688 \cdot 10^{-189}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 1.0432558718444377 \cdot 10^{-180}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq 1.0135521721287775 \cdot 10^{-43}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 1609741.3818073426:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 3
Error	25.1
Cost	2800

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right) + t_1\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := t_3 + y \cdot \left(x \cdot z - i \cdot j\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := t_3 + t_1\\ t_7 := \left(y \cdot \left(x \cdot z\right) + i \cdot \left(t \cdot b - y \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;t \leq -3.3 \cdot 10^{+265}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{+111}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -5.125014196229548 \cdot 10^{-17}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq -4.779703654956546 \cdot 10^{-62}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.6117354089040016 \cdot 10^{-84}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq -5.451226609144491 \cdot 10^{-170}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.7849218534829765 \cdot 10^{-292}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 2.3330021864800936 \cdot 10^{-302}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6.693542436682566 \cdot 10^{-274}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 1.4112128694166007 \cdot 10^{-115}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{+74}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 5 \cdot 10^{+172}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 4
Error	30.7
Cost	2536

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -2.05 \cdot 10^{+70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -8.5 \cdot 10^{+30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -4.666099581395676 \cdot 10^{-33}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;i \leq -1.4291312422680413 \cdot 10^{-223}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.924506357430694 \cdot 10^{-259}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.2161063279751153 \cdot 10^{-212}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;i \leq 9.376586455098793 \cdot 10^{-175}:\\ \;\;\;\;t_1 - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;i \leq 3.3240206733587956 \cdot 10^{-137}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 3.72544457653406 \cdot 10^{-55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 3.8 \cdot 10^{+119}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Error	24.1
Cost	2536

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := \left(y \cdot \left(x \cdot z\right) + i \cdot \left(t \cdot b - y \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right) + t_1\\ t_5 := i \cdot \left(t \cdot b\right) + \left(t_3 - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{if}\;x \leq -5.6 \cdot 10^{+66}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -8.236351126339059 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.722422108486504 \cdot 10^{-184}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.0932092025453135 \cdot 10^{-216}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.44519532337496 \cdot 10^{-261}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.1618552692232362 \cdot 10^{-154}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 9.295719520193011 \cdot 10^{-7}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 5.3 \cdot 10^{+68}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 10^{+113}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \end{array} \]

Alternative 6
Error	16.9
Cost	2524

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + \left(z \cdot \left(x \cdot y\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := \left(t_3 - i \cdot \left(y \cdot j - t \cdot b\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;i \leq -1 \cdot 10^{+53}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.4291312422680413 \cdot 10^{-223}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 7.744649284083106 \cdot 10^{-296}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + t_3\\ \mathbf{elif}\;i \leq 1.6070623769639342 \cdot 10^{-237}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 9.376586455098793 \cdot 10^{-175}:\\ \;\;\;\;t_1 + t_3\\ \mathbf{elif}\;i \leq 3.3240206733587956 \cdot 10^{-137}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 1.5673001764062788 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Error	32.3
Cost	2412

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := t_1 - t \cdot \left(x \cdot a\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right) - y \cdot \left(i \cdot j\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := c \cdot \left(z \cdot b\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right) - t_5\\ \mathbf{if}\;t \leq -8.4 \cdot 10^{+194}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -2.6 \cdot 10^{+153}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -9 \cdot 10^{+99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.619964391227832 \cdot 10^{-29}:\\ \;\;\;\;t_1 - t_5\\ \mathbf{elif}\;t \leq -1.4332008552450565 \cdot 10^{-64}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 5.008349248003336 \cdot 10^{-293}:\\ \;\;\;\;t_1 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;t \leq 1.73306133701722 \cdot 10^{-50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{+52}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{+81}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 2.5 \cdot 10^{+126}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 8
Error	38.4
Cost	2292

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right) - j \cdot \left(y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;b \leq -1.25 \cdot 10^{+225}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.7 \cdot 10^{+50}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{+16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -10.823136674148799:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq -2.5954413500195162 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;b \leq -5.186286871466021 \cdot 10^{-106}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;b \leq -3.85476219309804 \cdot 10^{-174}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2324801217975904 \cdot 10^{-202}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;b \leq -2.399863852173308 \cdot 10^{-265}:\\ \;\;\;\;j \cdot \left(a \cdot c\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq 6.672688493878246 \cdot 10^{-241}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 9.602513471618123 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1609741.3818073426:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 9
Error	38.2
Cost	2292

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right) - j \cdot \left(y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;b \leq -1.25 \cdot 10^{+225}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -2.8 \cdot 10^{+181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.7 \cdot 10^{+50}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{+16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -10.823136674148799:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq -2.5954413500195162 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;b \leq -5.186286871466021 \cdot 10^{-106}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;b \leq -3.85476219309804 \cdot 10^{-174}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2324801217975904 \cdot 10^{-202}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;b \leq -2.399863852173308 \cdot 10^{-265}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq 6.672688493878246 \cdot 10^{-241}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 9.602513471618123 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1609741.3818073426:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 10
Error	26.5
Cost	2272

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := t_2 + y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -2.05 \cdot 10^{+70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -8.5 \cdot 10^{+30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -4.666099581395676 \cdot 10^{-33}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;i \leq -3.951317226798438 \cdot 10^{-107}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) + t_1\\ \mathbf{elif}\;i \leq 3.3240206733587956 \cdot 10^{-137}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;i \leq 3.9247435183091404 \cdot 10^{-66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.21523774356619 \cdot 10^{-40}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;i \leq 3.8 \cdot 10^{+119}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	38.3
Cost	2160

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.6 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -9.317170493821975 \cdot 10^{-182}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.0932092025453135 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.241521578124563 \cdot 10^{-229}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq -1.44519532337496 \cdot 10^{-261}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;x \leq 2.5236865204088482 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;x \leq 2.0823022628452007 \cdot 10^{-230}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.994253813015652 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.0594315108108694 \cdot 10^{-189}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;x \leq 4.2744387952937295 \cdot 10^{-47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 8 \cdot 10^{+37}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{+68}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 12
Error	36.5
Cost	2148

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right) - t \cdot \left(x \cdot a\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -9640841185640.195:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -4.755065832622301 \cdot 10^{-142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -2.0681619679059684 \cdot 10^{-178}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.241521578124563 \cdot 10^{-229}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.44519532337496 \cdot 10^{-261}:\\ \;\;\;\;j \cdot \left(a \cdot c\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 1.7780184877518776 \cdot 10^{-270}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.090534608541154 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.2744387952937295 \cdot 10^{-47}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;x \leq 5 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 13
Error	35.7
Cost	2148

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := t_2 - t \cdot \left(x \cdot a\right)\\ t_4 := t_2 + j \cdot \left(a \cdot c\right)\\ t_5 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -2.05 \cdot 10^{+70}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{+25}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -4.666099581395676 \cdot 10^{-33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -3.951317226798438 \cdot 10^{-107}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -2.5899363209550296 \cdot 10^{-146}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq -1.1194663128842767 \cdot 10^{-306}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.924506357430694 \cdot 10^{-259}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;i \leq 1.2161063279751153 \cdot 10^{-212}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;i \leq 9.280822680660105 \cdot 10^{-122}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 2.8069371112751305 \cdot 10^{-91}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 14
Error	26.6
Cost	2140

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := t_1 + y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;i \leq -2.05 \cdot 10^{+70}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -8.5 \cdot 10^{+30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -4.6914301664132723 \cdot 10^{-36}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;i \leq 3.3240206733587956 \cdot 10^{-137}:\\ \;\;\;\;t_1 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;i \leq 3.9247435183091404 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.21523774356619 \cdot 10^{-40}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;i \leq 3.8 \cdot 10^{+119}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	23.8
Cost	2140

\[\begin{array}{l} t_1 := \left(y \cdot \left(x \cdot z\right) + i \cdot \left(t \cdot b - y \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;x \leq -5.6 \cdot 10^{+66}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{elif}\;x \leq -1.241521578124563 \cdot 10^{-229}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.0509767431077246 \cdot 10^{-272}:\\ \;\;\;\;t_3 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 4.2744387952937295 \cdot 10^{-47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 20.691003093684635:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{+43}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 10^{+113}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_2 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \end{array} \]

Alternative 16
Error	16.2
Cost	2128

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_2 + t_1\\ t_4 := t_3 - i \cdot \left(y \cdot j\right)\\ t_5 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -1 \cdot 10^{+108}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + t_2\\ \mathbf{elif}\;x \leq -6.0021496908168794 \cdot 10^{+29}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.3848080497166967 \cdot 10^{-10}:\\ \;\;\;\;t_5 + \left(z \cdot \left(x \cdot y\right) + t_1\right)\\ \mathbf{elif}\;x \leq 10^{+55}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 10^{+113}:\\ \;\;\;\;t_5 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 17
Error	32.9
Cost	2016

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := t_2 - t \cdot \left(x \cdot a\right)\\ t_4 := t_2 - c \cdot \left(z \cdot b\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -8.4 \cdot 10^{+194}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -1.4332008552450565 \cdot 10^{-64}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 5.008349248003336 \cdot 10^{-293}:\\ \;\;\;\;t_2 + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;t \leq 3.710750160668453 \cdot 10^{-105}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{+46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{+104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+144}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 18
Error	43.0
Cost	1896

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;a \leq -2.2 \cdot 10^{+57}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-13}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2.603075684672899 \cdot 10^{-39}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -3.1614040705639417 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.9404919817039792 \cdot 10^{-205}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.5176738360023456 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.7502470249533607 \cdot 10^{-296}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.046624101633058 \cdot 10^{-175}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.0378149889391966 \cdot 10^{-135}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{+96}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Error	38.9
Cost	1896

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -4.2 \cdot 10^{+134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.8899426985696755 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.9796953314935063 \cdot 10^{-63}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.5207321545640947 \cdot 10^{-176}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.287341884470978 \cdot 10^{-248}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.7849218534829765 \cdot 10^{-292}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.008349248003336 \cdot 10^{-293}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.4112128694166007 \cdot 10^{-115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{+59}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	38.6
Cost	1896

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.6 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -9.317170493821975 \cdot 10^{-182}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.0932092025453135 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.241521578124563 \cdot 10^{-229}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq -1.44519532337496 \cdot 10^{-261}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;x \leq 2.5236865204088482 \cdot 10^{-278}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;x \leq 2.0823022628452007 \cdot 10^{-230}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.994253813015652 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.0594315108108694 \cdot 10^{-189}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Error	17.6
Cost	1876

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;x \leq -6.0021496908168794 \cdot 10^{+29}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right) + t_2\\ \mathbf{elif}\;x \leq 2.869326697390907 \cdot 10^{-34}:\\ \;\;\;\;t_1 + \left(z \cdot \left(x \cdot y\right) + t_3\right)\\ \mathbf{elif}\;x \leq 20.691003093684635:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{+43}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) - i \cdot \left(y \cdot j - t \cdot b\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;x \leq 10^{+113}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_2 + t_3\\ \end{array} \]

Alternative 22
Error	49.6
Cost	1704

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i\right)\\ t_2 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_3 := c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{if}\;c \leq -5.173982157133121 \cdot 10^{+25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -4.383153883908311 \cdot 10^{-88}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.700091429221239 \cdot 10^{-186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.9011835476903971 \cdot 10^{-230}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 6.305381422825477 \cdot 10^{-194}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;c \leq 7.147151991420923 \cdot 10^{-122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.8218489364292758 \cdot 10^{-75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 5.78594006453985 \cdot 10^{-74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 9 \cdot 10^{+36}:\\ \;\;\;\;z \cdot \left(-b \cdot c\right)\\ \mathbf{elif}\;c \leq 2.85 \cdot 10^{+94}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 23
Error	44.8
Cost	1632

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;i \leq -2.5 \cdot 10^{+62}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{+25}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;i \leq -4.6914301664132723 \cdot 10^{-36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 5.7184081582407365 \cdot 10^{-301}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.8888132525525878 \cdot 10^{-261}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 2.728199278430772 \cdot 10^{-193}:\\ \;\;\;\;\left(x \cdot t\right) \cdot \left(-a\right)\\ \mathbf{elif}\;i \leq 9.280822680660105 \cdot 10^{-122}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 3.72544457653406 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{+72}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;-y \cdot \left(i \cdot j\right)\\ \end{array} \]

Alternative 24
Error	39.5
Cost	1632

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -4.2 \cdot 10^{+134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -1.8899426985696755 \cdot 10^{-16}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;t \leq -1.6117354089040016 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.4817893345054518 \cdot 10^{-270}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq 1.4112128694166007 \cdot 10^{-115}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{+46}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;t \leq 3.5 \cdot 10^{+152}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 25
Error	50.8
Cost	1440

\[\begin{array}{l} t_1 := \left(x \cdot t\right) \cdot \left(-a\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;i \leq -2.5 \cdot 10^{+62}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{+25}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;i \leq -3.951317226798438 \cdot 10^{-107}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;i \leq -8.967590601876831 \cdot 10^{-185}:\\ \;\;\;\;z \cdot \left(-b \cdot c\right)\\ \mathbf{elif}\;i \leq -1.1194663128842767 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.924506357430694 \cdot 10^{-259}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;i \leq 1.6740188788585143 \cdot 10^{-167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{+72}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;-y \cdot \left(i \cdot j\right)\\ \end{array} \]

Alternative 26
Error	45.1
Cost	1368

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;i \leq -2.5 \cdot 10^{+62}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{+25}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;i \leq -3.376959957871146 \cdot 10^{-39}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.8328237267925545 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 2.728199278430772 \cdot 10^{-193}:\\ \;\;\;\;\left(x \cdot t\right) \cdot \left(-a\right)\\ \mathbf{elif}\;i \leq 1.21523774356619 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{+72}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;-y \cdot \left(i \cdot j\right)\\ \end{array} \]

Alternative 27
Error	37.7
Cost	1368

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;t \leq -1.9796953314935063 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -3.7849218534829765 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;t \leq 1.0158004953038213 \cdot 10^{-293}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 1.4112128694166007 \cdot 10^{-115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Error	50.4
Cost	1244

\[\begin{array}{l} t_1 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;t \leq -1.28 \cdot 10^{+163}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -17041502841854726:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.2815621161928392 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 9.46694805212276 \cdot 10^{-248}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5.694343213900203 \cdot 10^{-112}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{+52}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 29
Error	50.4
Cost	1244

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := t \cdot \left(b \cdot i\right)\\ \mathbf{if}\;t \leq -1.28 \cdot 10^{+163}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -17041502841854726:\\ \;\;\;\;-y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq -1.2815621161928392 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.46694805212276 \cdot 10^{-248}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{elif}\;t \leq 5.694343213900203 \cdot 10^{-112}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;t \leq 9.858140125008221 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{+52}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 30
Error	49.4
Cost	848

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;x \leq -1.9 \cdot 10^{+68}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -3.722422108486504 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.117786615615029 \cdot 10^{-286}:\\ \;\;\;\;z \cdot \left(-b \cdot c\right)\\ \mathbf{elif}\;x \leq 4.15119381336506 \cdot 10^{-46}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 31
Error	49.5
Cost	584

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;x \leq -1.9 \cdot 10^{+68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.15119381336506 \cdot 10^{-46}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 32
Error	53.8
Cost	320

\[t \cdot \left(b \cdot i\right) \]

Reproduce

herbie shell --seed 2022317 
(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)))))