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

Average Error: 11.8 → 6.7

Time: 1.3min

Precision: binary64

Cost: 5832

Math

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

↓

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_1 + \left(x \cdot \left(y \cdot z - t \cdot a\right) + t_2\right)\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(a \cdot \left(c \cdot j - x \cdot t\right) - i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;t_3 \leq 5 \cdot 10^{+302}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + \left(t_1 + t_2\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ \end{array} \]

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 (* j (- (* a c) (* y i))))
        (t_2 (* b (- (* t i) (* z c))))
        (t_3 (+ t_1 (+ (* x (- (* y z) (* t a))) t_2))))
   (if (<= t_3 (- INFINITY))
     (+ (* i (* t b)) (- (* a (- (* c j) (* x t))) (* i (* y j))))
     (if (<= t_3 5e+302)
       (+ (- (* x (* y z)) (* x (* t a))) (+ t_1 t_2))
       (+ (* t (- (* b i) (* x a))) (* c (* a 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 = j * ((a * c) - (y * i));
	double t_2 = b * ((t * i) - (z * c));
	double t_3 = t_1 + ((x * ((y * z) - (t * a))) + t_2);
	double tmp;
	if (t_3 <= -((double) INFINITY)) {
		tmp = (i * (t * b)) + ((a * ((c * j) - (x * t))) - (i * (y * j)));
	} else if (t_3 <= 5e+302) {
		tmp = ((x * (y * z)) - (x * (t * a))) + (t_1 + t_2);
	} else {
		tmp = (t * ((b * i) - (x * a))) + (c * (a * 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 = j * ((a * c) - (y * i));
	double t_2 = b * ((t * i) - (z * c));
	double t_3 = t_1 + ((x * ((y * z) - (t * a))) + t_2);
	double tmp;
	if (t_3 <= -Double.POSITIVE_INFINITY) {
		tmp = (i * (t * b)) + ((a * ((c * j) - (x * t))) - (i * (y * j)));
	} else if (t_3 <= 5e+302) {
		tmp = ((x * (y * z)) - (x * (t * a))) + (t_1 + t_2);
	} else {
		tmp = (t * ((b * i) - (x * a))) + (c * (a * 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 = j * ((a * c) - (y * i))
	t_2 = b * ((t * i) - (z * c))
	t_3 = t_1 + ((x * ((y * z) - (t * a))) + t_2)
	tmp = 0
	if t_3 <= -math.inf:
		tmp = (i * (t * b)) + ((a * ((c * j) - (x * t))) - (i * (y * j)))
	elif t_3 <= 5e+302:
		tmp = ((x * (y * z)) - (x * (t * a))) + (t_1 + t_2)
	else:
		tmp = (t * ((b * i) - (x * a))) + (c * (a * 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(j * Float64(Float64(a * c) - Float64(y * i)))
	t_2 = Float64(b * Float64(Float64(t * i) - Float64(z * c)))
	t_3 = Float64(t_1 + Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) + t_2))
	tmp = 0.0
	if (t_3 <= Float64(-Inf))
		tmp = Float64(Float64(i * Float64(t * b)) + Float64(Float64(a * Float64(Float64(c * j) - Float64(x * t))) - Float64(i * Float64(y * j))));
	elseif (t_3 <= 5e+302)
		tmp = Float64(Float64(Float64(x * Float64(y * z)) - Float64(x * Float64(t * a))) + Float64(t_1 + t_2));
	else
		tmp = Float64(Float64(t * Float64(Float64(b * i) - Float64(x * a))) + Float64(c * Float64(a * 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 = j * ((a * c) - (y * i));
	t_2 = b * ((t * i) - (z * c));
	t_3 = t_1 + ((x * ((y * z) - (t * a))) + t_2);
	tmp = 0.0;
	if (t_3 <= -Inf)
		tmp = (i * (t * b)) + ((a * ((c * j) - (x * t))) - (i * (y * j)));
	elseif (t_3 <= 5e+302)
		tmp = ((x * (y * z)) - (x * (t * a))) + (t_1 + t_2);
	else
		tmp = (t * ((b * i) - (x * a))) + (c * (a * 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[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t$95$1 + N[(N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, (-Infinity)], N[(N[(i * N[(t * b), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(N[(c * j), $MachinePrecision] - N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(y * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$3, 5e+302], N[(N[(N[(x * N[(y * z), $MachinePrecision]), $MachinePrecision] - N[(x * N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 + t$95$2), $MachinePrecision]), $MachinePrecision], N[(N[(t * N[(N[(b * i), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Target

Original	11.8
Target	19.3
Herbie	6.7

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

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

      \[\leadsto \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(a \cdot c - y \cdot i\right)\right)\right)} \]
      Proof
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (-.f64 (*.f64 t i) (*.f64 z c)) (*.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 (*.f64 t i) (Rewrite<= *-commutative_binary64 (*.f64 c z))) (*.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=> sub-neg_binary64 (+.f64 (*.f64 t i) (neg.f64 (*.f64 c z)))) (*.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<= +-commutative_binary64 (+.f64 (neg.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 (+.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)))))): 1 points increase in error, 0 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)))))): 0 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 z around 0 42.2

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

   4. Simplified 39.0

      \[\leadsto \color{blue}{\mathsf{fma}\left(i \cdot b - a \cdot x, t, \left(c \cdot a - i \cdot y\right) \cdot j\right)} \]
      Proof
      (fma.f64 (-.f64 (*.f64 i b) (*.f64 a x)) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 i b) (neg.f64 (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (+.f64 (*.f64 i b) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 -1 (*.f64 a x)) (*.f64 i b))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 a x))) (*.f64 i b)) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 a x))) (*.f64 i b)) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite=> associate-+l-_binary64 (-.f64 0 (-.f64 (*.f64 a x) (*.f64 i b)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (-.f64 0 (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 a x) (neg.f64 (*.f64 i b))))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (-.f64 0 (+.f64 (*.f64 a x) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 i b))))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (-.f64 0 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite<= neg-sub0_binary64 (neg.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x))) t (Rewrite<= *-commutative_binary64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x))) t) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y))))): 3 points increase in error, 1 points decrease in error
      (+.f64 (Rewrite<= associate-*r*_binary64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (Rewrite=> *-commutative_binary64 (*.f64 t (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (Rewrite<= distribute-rgt-out_binary64 (+.f64 (*.f64 (*.f64 -1 (*.f64 i b)) t) (*.f64 (*.f64 a x) t)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 1 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 i b))) t) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (Rewrite=> distribute-lft-neg-out_binary64 (neg.f64 (*.f64 (*.f64 i b) t))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (neg.f64 (Rewrite=> associate-*l*_binary64 (*.f64 i (*.f64 b t)))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 14 points increase in error, 16 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (neg.f64 (*.f64 i (Rewrite<= *-commutative_binary64 (*.f64 t b)))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (neg.f64 (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 t b) i))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 (*.f64 t b)) i)) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 t b))) i) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (*.f64 -1 (*.f64 t b)) i) (Rewrite<= associate-*r*_binary64 (*.f64 a (*.f64 x t))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 15 points increase in error, 19 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (*.f64 -1 (*.f64 t b)) i) (*.f64 a (Rewrite<= *-commutative_binary64 (*.f64 t x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite=> associate--r+_binary64 (-.f64 (-.f64 0 (*.f64 (*.f64 -1 (*.f64 t b)) i)) (*.f64 a (*.f64 t x)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (Rewrite<= neg-sub0_binary64 (neg.f64 (*.f64 (*.f64 -1 (*.f64 t b)) i))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (neg.f64 (*.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 t b))) i)) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (neg.f64 (Rewrite=> distribute-lft-neg-out_binary64 (neg.f64 (*.f64 (*.f64 t b) i)))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (neg.f64 (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 i (*.f64 t b))))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (Rewrite=> remove-double-neg_binary64 (*.f64 i (*.f64 t b))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 i (*.f64 t b)) (neg.f64 (*.f64 a (*.f64 t x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a (*.f64 t x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (*.f64 -1 (*.f64 a (*.f64 t x)))) (*.f64 j (Rewrite=> sub-neg_binary64 (+.f64 (*.f64 c a) (neg.f64 (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (*.f64 -1 (*.f64 a (*.f64 t x)))) (*.f64 j (+.f64 (*.f64 c a) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 y i)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (*.f64 -1 (*.f64 a (*.f64 t x)))) (*.f64 j (Rewrite<= sub-neg_binary64 (-.f64 (*.f64 c a) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-+r+_binary64 (+.f64 (*.f64 i (*.f64 t b)) (+.f64 (*.f64 -1 (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))): 0 points increase in error, 0 points decrease in error

   5. Taylor expanded in a around 0 27.3

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

   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)))) < 5e302

   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

      \[\leadsto \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(z \cdot c - t \cdot i\right) - j \cdot \left(a \cdot c - y \cdot i\right)\right)} \]
      Proof
      (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (-.f64 (*.f64 b (-.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
      (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (-.f64 (*.f64 b (-.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
      (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (-.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))) (*.f64 (Rewrite<= remove-double-neg_binary64 (neg.f64 (neg.f64 j))) (-.f64 (*.f64 a c) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (-.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))) (*.f64 (neg.f64 (neg.f64 j)) (-.f64 (Rewrite<= *-commutative_binary64 (*.f64 c a)) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (Rewrite=> cancel-sign-sub_binary64 (+.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i))) (*.f64 (neg.f64 j) (-.f64 (*.f64 c a) (*.f64 y i)))))): 0 points increase in error, 0 points decrease in error
      (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (Rewrite<= cancel-sign-sub-inv_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<= 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. Applied egg-rr 0.8

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

   if 5e302 < (+.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 58.2

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

   2. Simplified 58.2

      \[\leadsto \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, t \cdot i - z \cdot c, j \cdot \left(a \cdot c - y \cdot i\right)\right)\right)} \]
      Proof
      (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (fma.f64 b (-.f64 (*.f64 t i) (*.f64 z c)) (*.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 (*.f64 t i) (Rewrite<= *-commutative_binary64 (*.f64 c z))) (*.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=> sub-neg_binary64 (+.f64 (*.f64 t i) (neg.f64 (*.f64 c z)))) (*.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<= +-commutative_binary64 (+.f64 (neg.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 (+.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)))))): 1 points increase in error, 0 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)))))): 0 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 z around 0 44.1

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

   4. Simplified 42.2

      \[\leadsto \color{blue}{\mathsf{fma}\left(i \cdot b - a \cdot x, t, \left(c \cdot a - i \cdot y\right) \cdot j\right)} \]
      Proof
      (fma.f64 (-.f64 (*.f64 i b) (*.f64 a x)) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 i b) (neg.f64 (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (+.f64 (*.f64 i b) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 -1 (*.f64 a x)) (*.f64 i b))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 a x))) (*.f64 i b)) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 a x))) (*.f64 i b)) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite=> associate-+l-_binary64 (-.f64 0 (-.f64 (*.f64 a x) (*.f64 i b)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (-.f64 0 (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 a x) (neg.f64 (*.f64 i b))))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (-.f64 0 (+.f64 (*.f64 a x) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 i b))))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (-.f64 0 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite<= neg-sub0_binary64 (neg.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)))) t (*.f64 (-.f64 (*.f64 c a) (*.f64 i y)) j)): 0 points increase in error, 0 points decrease in error
      (fma.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x))) t (Rewrite<= *-commutative_binary64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x))) t) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y))))): 3 points increase in error, 1 points decrease in error
      (+.f64 (Rewrite<= associate-*r*_binary64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x)) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (Rewrite=> *-commutative_binary64 (*.f64 t (+.f64 (*.f64 -1 (*.f64 i b)) (*.f64 a x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (Rewrite<= distribute-rgt-out_binary64 (+.f64 (*.f64 (*.f64 -1 (*.f64 i b)) t) (*.f64 (*.f64 a x) t)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 1 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 i b))) t) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (Rewrite=> distribute-lft-neg-out_binary64 (neg.f64 (*.f64 (*.f64 i b) t))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (neg.f64 (Rewrite=> associate-*l*_binary64 (*.f64 i (*.f64 b t)))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 14 points increase in error, 16 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (neg.f64 (*.f64 i (Rewrite<= *-commutative_binary64 (*.f64 t b)))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (neg.f64 (Rewrite=> *-commutative_binary64 (*.f64 (*.f64 t b) i))) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 (*.f64 t b)) i)) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 t b))) i) (*.f64 (*.f64 a x) t))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (*.f64 -1 (*.f64 t b)) i) (Rewrite<= associate-*r*_binary64 (*.f64 a (*.f64 x t))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 15 points increase in error, 19 points decrease in error
      (+.f64 (-.f64 0 (+.f64 (*.f64 (*.f64 -1 (*.f64 t b)) i) (*.f64 a (Rewrite<= *-commutative_binary64 (*.f64 t x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite=> associate--r+_binary64 (-.f64 (-.f64 0 (*.f64 (*.f64 -1 (*.f64 t b)) i)) (*.f64 a (*.f64 t x)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (Rewrite<= neg-sub0_binary64 (neg.f64 (*.f64 (*.f64 -1 (*.f64 t b)) i))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (neg.f64 (*.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (*.f64 t b))) i)) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (neg.f64 (Rewrite=> distribute-lft-neg-out_binary64 (neg.f64 (*.f64 (*.f64 t b) i)))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (neg.f64 (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 i (*.f64 t b))))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (-.f64 (Rewrite=> remove-double-neg_binary64 (*.f64 i (*.f64 t b))) (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 i (*.f64 t b)) (neg.f64 (*.f64 a (*.f64 t x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a (*.f64 t x))))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (*.f64 -1 (*.f64 a (*.f64 t x)))) (*.f64 j (Rewrite=> sub-neg_binary64 (+.f64 (*.f64 c a) (neg.f64 (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (*.f64 -1 (*.f64 a (*.f64 t x)))) (*.f64 j (+.f64 (*.f64 c a) (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 y i)))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (+.f64 (*.f64 i (*.f64 t b)) (*.f64 -1 (*.f64 a (*.f64 t x)))) (*.f64 j (Rewrite<= sub-neg_binary64 (-.f64 (*.f64 c a) (*.f64 y i))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-+r+_binary64 (+.f64 (*.f64 i (*.f64 t b)) (+.f64 (*.f64 -1 (*.f64 a (*.f64 t x))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))))): 0 points increase in error, 0 points decrease in error

   5. Taylor expanded in y around 0 37.1

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

4. Final simplification 6.7

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq -\infty:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(a \cdot \left(c \cdot j - x \cdot t\right) - i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq 5 \cdot 10^{+302}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + \left(j \cdot \left(a \cdot c - y \cdot i\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	6.7
Cost	5704

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(a \cdot \left(c \cdot j - x \cdot t\right) - i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+302}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternative 2
Error	40.2
Cost	3080

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_4 := c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;z \leq -3.6 \cdot 10^{+141}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.22 \cdot 10^{+14}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -6.5 \cdot 10^{-51}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.45 \cdot 10^{-260}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-247}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-209}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-183}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 1.36 \cdot 10^{-176}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-173}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{-152}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-133}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{-94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-53}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{-26}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 3.5 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 3
Error	40.1
Cost	3080

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;z \leq -4 \cdot 10^{+141}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -5.8 \cdot 10^{+15}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{-52}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq -1.9 \cdot 10^{-169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -3.6 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6 \cdot 10^{-260}:\\ \;\;\;\;t_3 + y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq 6.95 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-211}:\\ \;\;\;\;t_3 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;z \leq 4.1 \cdot 10^{-209}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-183}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-177}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.36 \cdot 10^{-173}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-156}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-133}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{-92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-54}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-26}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 2.25 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 4
Error	40.1
Cost	3080

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;z \leq -3.6 \cdot 10^{+141}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -40000000000000:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.1 \cdot 10^{-52}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq -2.3 \cdot 10^{-169}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.1 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 10^{-259}:\\ \;\;\;\;t_2 + y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq 6.95 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.3 \cdot 10^{-211}:\\ \;\;\;\;t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-209}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-183}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 10^{-178}:\\ \;\;\;\;a \cdot \left(c \cdot j\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-175}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-156}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-133}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.7 \cdot 10^{-53}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-27}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 2.25 \cdot 10^{+52}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 5
Error	26.7
Cost	3064

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_2 + t_1\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right) + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;i \leq -1.2 \cdot 10^{+156}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;i \leq -5.5 \cdot 10^{-38}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + t_1\\ \mathbf{elif}\;i \leq -1.5 \cdot 10^{-149}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.65 \cdot 10^{-196}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.45 \cdot 10^{-233}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 7.2 \cdot 10^{-162}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 9 \cdot 10^{-136}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;i \leq 1.75 \cdot 10^{-53}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 2.65 \cdot 10^{-18}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 4.6 \cdot 10^{-5}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_2\\ \mathbf{elif}\;i \leq 9.5 \cdot 10^{+25}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 5.8 \cdot 10^{+28}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;i \leq 6.6 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.5 \cdot 10^{+174}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b - y \cdot j\right)\\ \end{array} \]

Alternative 6
Error	22.0
Cost	3052

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ t_3 := i \cdot \left(y \cdot j\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := \left(t_4 + t_1\right) - t \cdot \left(x \cdot a\right)\\ t_6 := t_4 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;i \leq -1.62 \cdot 10^{+161}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - t_3\\ \mathbf{elif}\;i \leq -6 \cdot 10^{-87}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -3.4 \cdot 10^{-149}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -7.8 \cdot 10^{-196}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{-305}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 1.35 \cdot 10^{-288}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 1.06 \cdot 10^{-271}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + t_1\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-233}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 5.4 \cdot 10^{-162}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 4.6 \cdot 10^{-112}:\\ \;\;\;\;\left(c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\right) + t_1\\ \mathbf{elif}\;i \leq 9 \cdot 10^{-7}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 2.8 \cdot 10^{+109}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + \left(a \cdot \left(c \cdot j - x \cdot t\right) - t_3\right)\\ \end{array} \]

Alternative 7
Error	33.5
Cost	2940

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right) + t_1\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := y \cdot \left(x \cdot z\right) + t_4\\ \mathbf{if}\;b \leq -2.8 \cdot 10^{-96}:\\ \;\;\;\;t_4 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-119}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-139}:\\ \;\;\;\;t_1 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;b \leq -1.3 \cdot 10^{-143}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq -7.6 \cdot 10^{-218}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-297}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-250}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-196}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-60}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 7.4 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{+27}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 8.8 \cdot 10^{+60}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{+128}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{+206}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 8
Error	24.3
Cost	2932

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := i \cdot \left(t \cdot b\right)\\ t_5 := t_4 + x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := t_6 + t_3\\ t_8 := t_2 + t_6\\ t_9 := c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;z \leq -1.02 \cdot 10^{+46}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -2.3 \cdot 10^{-50}:\\ \;\;\;\;t_3 - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-106}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq -4.3 \cdot 10^{-114}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;z \leq -2.55 \cdot 10^{-191}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq -2.1 \cdot 10^{-269}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) - t_9\\ \mathbf{elif}\;z \leq 8 \cdot 10^{-138}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 1.18 \cdot 10^{-114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{-99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{+14}:\\ \;\;\;\;t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+52}:\\ \;\;\;\;t_4 + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 7.3 \cdot 10^{+81}:\\ \;\;\;\;t_1 - t_9\\ \mathbf{elif}\;z \leq 4 \cdot 10^{+100}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 9
Error	39.2
Cost	2820

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -3.6 \cdot 10^{+141}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{+15}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.52 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-123}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.75 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6 \cdot 10^{-193}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-261}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-280}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq -5.7 \cdot 10^{-303}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 5.9 \cdot 10^{-263}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-236}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-154}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{-126}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{-93}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{-53}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 8.8 \cdot 10^{-27}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 10
Error	50.0
Cost	2760

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot \left(-b\right)\right)\\ t_2 := j \cdot \left(a \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := t \cdot \left(b \cdot i\right)\\ t_5 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_6 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_7 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;j \leq -6.4 \cdot 10^{+162}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -2.5 \cdot 10^{+99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.75 \cdot 10^{+42}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.6 \cdot 10^{-74}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-128}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-137}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -1.7 \cdot 10^{-177}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;j \leq -1.4 \cdot 10^{-192}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -6.7 \cdot 10^{-286}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-299}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 9.6 \cdot 10^{-306}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 5.3 \cdot 10^{-276}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-187}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{-148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 7.8 \cdot 10^{-123}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.32 \cdot 10^{-51}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 10^{+113}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 11
Error	24.1
Cost	2668

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := \left(c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\right) + t_2\\ t_4 := i \cdot \left(t \cdot b\right)\\ t_5 := t_4 + \left(a \cdot \left(c \cdot j - x \cdot t\right) - i \cdot \left(y \cdot j\right)\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := t_6 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_8 := t \cdot \left(b \cdot i - x \cdot a\right) + t_6\\ \mathbf{if}\;z \leq -5.6 \cdot 10^{+132}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -1.75 \cdot 10^{-50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -5.8 \cdot 10^{-191}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-288}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_2\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-252}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-219}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;z \leq 10^{-208}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-190}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-53}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 6.2 \cdot 10^{+25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.48 \cdot 10^{+65}:\\ \;\;\;\;t_4 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 12
Error	45.6
Cost	2556

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot \left(-c\right)\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_4 := i \cdot \left(t \cdot b - y \cdot j\right)\\ \mathbf{if}\;j \leq -5 \cdot 10^{+165}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{+99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -6.2 \cdot 10^{+50}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -8.4 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{-193}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -1.15 \cdot 10^{-285}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-276}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;j \leq 4.4 \cdot 10^{-208}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.4 \cdot 10^{-196}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;j \leq 1.4 \cdot 10^{-148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 3.9 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-108}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{-106}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq 1.5 \cdot 10^{+113}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 13
Error	38.9
Cost	2556

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;b \leq -2.45 \cdot 10^{+17}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-27}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -4.1 \cdot 10^{-95}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;b \leq -2.55 \cdot 10^{-217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-298}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{-272}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-225}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{-135}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-101}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;b \leq 2.3 \cdot 10^{-62}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 4.2 \cdot 10^{+62}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{+106}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.46 \cdot 10^{+169}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;b \leq 1.2 \cdot 10^{+186}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 14
Error	33.8
Cost	2544

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{if}\;b \leq -2.25 \cdot 10^{-93}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.6 \cdot 10^{-217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.22 \cdot 10^{-296}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 5.1 \cdot 10^{-250}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 2 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-101}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-61}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{+30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 8 \cdot 10^{+61}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;b \leq 2.2 \cdot 10^{+128}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{+206}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	33.4
Cost	2544

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{if}\;b \leq -3.8 \cdot 10^{-95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.45 \cdot 10^{-217}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.35 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.7 \cdot 10^{-250}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{-200}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.1 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.95 \cdot 10^{-60}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;b \leq 1.7 \cdot 10^{+30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 7.8 \cdot 10^{+60}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;b \leq 6.6 \cdot 10^{+127}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{+206}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Error	49.8
Cost	2496

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_2 := j \cdot \left(a \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := z \cdot \left(x \cdot y\right)\\ t_5 := b \cdot \left(z \cdot \left(-c\right)\right)\\ t_6 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;j \leq -3.5 \cdot 10^{+162}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -9.8 \cdot 10^{+95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.12 \cdot 10^{+42}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -2.35 \cdot 10^{-66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{-75}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-129}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-137}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;j \leq -9.8 \cdot 10^{-272}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-307}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-278}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{-146}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 4.4 \cdot 10^{-91}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{-74}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-51}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.45 \cdot 10^{+113}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 17
Error	23.2
Cost	2400

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right) + t_1\\ t_4 := t_2 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;x \leq -2.25 \cdot 10^{-77}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ \mathbf{elif}\;x \leq -4.9 \cdot 10^{-116}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-188}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-223}:\\ \;\;\;\;\left(c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\right) + t_1\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{-257}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-239}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 9.6 \cdot 10^{-71}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 0.0017:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) + t_1\\ \end{array} \]

Alternative 18
Error	50.0
Cost	2364

\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_4 := a \cdot \left(x \cdot \left(-t\right)\right)\\ t_5 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;j \leq -1.7 \cdot 10^{+165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.4 \cdot 10^{+91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -1.5 \cdot 10^{+41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-60}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -9.2 \cdot 10^{-82}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq -5.8 \cdot 10^{-129}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.25 \cdot 10^{-137}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -4.35 \cdot 10^{-178}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;j \leq -2.15 \cdot 10^{-196}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-287}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 5 \cdot 10^{-279}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-187}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-119}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{-51}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+113}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 19
Error	45.8
Cost	2292

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;j \leq -1.12 \cdot 10^{+172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -3.5 \cdot 10^{+67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -6.5 \cdot 10^{+49}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;j \leq -2.45 \cdot 10^{-83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.7 \cdot 10^{-190}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;j \leq -6.1 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-302}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;j \leq 6.2 \cdot 10^{-277}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-207}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-148}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{-49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 5.9 \cdot 10^{+113}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	35.4
Cost	2280

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -7.4 \cdot 10^{+164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{+119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.8 \cdot 10^{+21}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -4.3 \cdot 10^{-163}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-262}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.65 \cdot 10^{-166}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;x \leq 9 \cdot 10^{-157}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-89}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 7.4 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Error	26.6
Cost	2280

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ t_4 := t \cdot \left(b \cdot i - x \cdot a\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := t_2 + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;z \leq -2.15 \cdot 10^{-50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.55 \cdot 10^{-191}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.1 \cdot 10^{-269}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) - t_1\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-137}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-117}:\\ \;\;\;\;t_2 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-53}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9200000000000:\\ \;\;\;\;y \cdot \left(x \cdot z\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 8 \cdot 10^{+52}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{+147}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - t_1\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{+182}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Error	18.3
Cost	2256

\[\begin{array}{l} t_1 := \left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) - \left(z \cdot \left(b \cdot c\right) + j \cdot \left(y \cdot i - a \cdot c\right)\right)\\ \mathbf{if}\;t \leq -1.35 \cdot 10^{-17}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-82}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{-8}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + \left(t \cdot \left(b \cdot i\right) - t \cdot \left(x \cdot a\right)\right)\\ \end{array} \]

Alternative 23
Error	52.3
Cost	2232

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := i \cdot \left(y \cdot \left(-j\right)\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;z \leq -1.15 \cdot 10^{+120}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-131}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-169}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-288}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-235}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{-200}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 10^{-156}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{+68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{+111}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{+134}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 1.12 \cdot 10^{+137}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{+207}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 24
Error	51.5
Cost	2168

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{if}\;z \leq -4.4 \cdot 10^{+119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-129}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-187}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-287}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{-238}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.7 \cdot 10^{-200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{-154}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 4.4 \cdot 10^{-51}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2 \cdot 10^{+68}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+113}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.1 \cdot 10^{+134}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{+139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{+207}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 25
Error	43.0
Cost	2160

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b - y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;x \leq -3 \cdot 10^{-107}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.55 \cdot 10^{-226}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;x \leq -2 \cdot 10^{-257}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.8 \cdot 10^{-282}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq -5 \cdot 10^{-294}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{-180}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{-87}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{+23}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 6.1 \cdot 10^{+91}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{+136}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \end{array} \]

Alternative 26
Error	37.7
Cost	2160

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.16 \cdot 10^{-57}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{-101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3 \cdot 10^{-145}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -1.58 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-240}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.55 \cdot 10^{-296}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-296}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.65 \cdot 10^{-160}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 55:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Error	26.6
Cost	2140

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{if}\;x \leq -7.5 \cdot 10^{+65}:\\ \;\;\;\;t_2 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;x \leq -2 \cdot 10^{-79}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq -4.4 \cdot 10^{-117}:\\ \;\;\;\;t_2 + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-204}:\\ \;\;\;\;t_3 + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 0.0025:\\ \;\;\;\;t_3 + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 28
Error	31.5
Cost	2016

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right) - i \cdot \left(y \cdot j\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.25 \cdot 10^{+167}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.35 \cdot 10^{+79}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;x \leq -5 \cdot 10^{+22}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -2.1 \cdot 10^{-117}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 5.3 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{+18}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 29
Error	31.2
Cost	2016

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right) - i \cdot \left(y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.1 \cdot 10^{+167}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.66 \cdot 10^{+78}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-81}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq -5 \cdot 10^{-116}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.86 \cdot 10^{-205}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 4.9 \cdot 10^{-70}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+20}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Error	31.0
Cost	2016

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right) - j \cdot \left(y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -1.66 \cdot 10^{+168}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.65 \cdot 10^{+79}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;x \leq -4.7 \cdot 10^{-85}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq -2 \cdot 10^{-117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 5.5 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.62 \cdot 10^{-205}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.05 \cdot 10^{-70}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{+17}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 31
Error	29.0
Cost	2012

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right) - j \cdot \left(y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;x \leq -1.9 \cdot 10^{+66}:\\ \;\;\;\;t_3 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;x \leq -8.6 \cdot 10^{-87}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-116}:\\ \;\;\;\;t_3 + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.7 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.4 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 0.00056:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z\right) - x \cdot \left(t \cdot a\right)\right) - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 32
Error	45.4
Cost	1896

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := j \cdot \left(y \cdot \left(-i\right)\right)\\ \mathbf{if}\;j \leq -7.2 \cdot 10^{+162}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -4.1 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-190}:\\ \;\;\;\;x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;j \leq -7.2 \cdot 10^{-286}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 9 \cdot 10^{-301}:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;j \leq 5.4 \cdot 10^{-279}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;j \leq 5.9 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-149}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 5 \cdot 10^{-143}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;j \leq 5 \cdot 10^{+114}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 33
Error	37.6
Cost	1896

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{-58}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -8 \cdot 10^{-174}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -3.8 \cdot 10^{-240}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.85 \cdot 10^{-297}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.6 \cdot 10^{-296}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-161}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 410:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 34
Error	38.0
Cost	1896

\[\begin{array}{l} t_1 := t \cdot \left(b \cdot i - x \cdot a\right)\\ t_2 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+88}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -2.05 \cdot 10^{-60}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -8.1 \cdot 10^{-143}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -2.15 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.25 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -5.8 \cdot 10^{-299}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.46 \cdot 10^{-210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.55 \cdot 10^{-83}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 7.9:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 35
Error	29.0
Cost	1884

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right) - j \cdot \left(y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right) + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -4.1 \cdot 10^{+65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -8.6 \cdot 10^{-82}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq -2.45 \cdot 10^{-116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-203}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 5.6 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.12 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 36
Error	29.0
Cost	1884

\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right) - j \cdot \left(y \cdot i\right)\\ t_2 := t \cdot \left(b \cdot i - x \cdot a\right) + c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := t_3 + x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -3.05 \cdot 10^{+65}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.36 \cdot 10^{-86}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;x \leq -4.4 \cdot 10^{-116}:\\ \;\;\;\;t_3 + a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.7 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 0.001:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 37
Error	50.5
Cost	1836

\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j\right)\\ t_2 := j \cdot \left(y \cdot \left(-i\right)\right)\\ t_3 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;y \leq -1.95 \cdot 10^{+105}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;y \leq -1.5 \cdot 10^{-47}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;y \leq -5.6 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-138}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -4.3 \cdot 10^{-226}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6.8 \cdot 10^{-261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-205}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{-118}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{elif}\;y \leq 5 \cdot 10^{-13}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;y \leq 310000000:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 38
Error	50.7
Cost	980

\[\begin{array}{l} \mathbf{if}\;y \leq -1.95 \cdot 10^{+105}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;y \leq -8.6 \cdot 10^{-59}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;y \leq -7 \cdot 10^{-111}:\\ \;\;\;\;i \cdot \left(t \cdot b\right)\\ \mathbf{elif}\;y \leq 5.7 \cdot 10^{-301}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 2.55 \cdot 10^{-117}:\\ \;\;\;\;b \cdot \left(t \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 39
Error	49.6
Cost	716

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;x \leq -5.8 \cdot 10^{-108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-239}:\\ \;\;\;\;t \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq 0.023:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 40
Error	49.7
Cost	584

\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;i \leq -2.3 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 1.45 \cdot 10^{+26}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 41
Error	53.1
Cost	320

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

Alternative 42
Error	53.2
Cost	320

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

Reproduce

herbie shell --seed 2022325 
(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)))))