Linear.Matrix:det33 from linear-1.19.1.3

Average Accuracy: 81.0% → 88.6%

Time: 1.2min

Precision: binary64

Cost: 19656

Math

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

↓

\[\begin{array}{l} t_1 := b \cdot \mathsf{fma}\left(-a, i, a \cdot i\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := \left(t_3 + b \cdot \left(a \cdot i - z \cdot c\right)\right) + t_4\\ \mathbf{if}\;t_5 \leq -\infty:\\ \;\;\;\;t_4 + \left(\left(t_2 - a \cdot \left(x \cdot t\right)\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;t_5 \leq 2 \cdot 10^{+305}:\\ \;\;\;\;t_4 + \left(t_3 - \left(b \cdot \left(z \cdot c - a \cdot i\right) + \left(t_1 + t_1\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_2 - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right)\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (* b (fma (- a) i (* a i))))
        (t_2 (* y (* x z)))
        (t_3 (* x (- (* y z) (* t a))))
        (t_4 (* j (- (* t c) (* y i))))
        (t_5 (+ (+ t_3 (* b (- (* a i) (* z c)))) t_4)))
   (if (<= t_5 (- INFINITY))
     (+ t_4 (- (- t_2 (* a (* x t))) (* z (* b c))))
     (if (<= t_5 2e+305)
       (+ t_4 (- t_3 (+ (* b (- (* z c) (* a i))) (+ t_1 t_1))))
       (+ (- t_2 (* c (* z b))) (* c (* t 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) - (i * a)))) + (j * ((c * t) - (i * y)));
}

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = b * fma(-a, i, (a * i));
	double t_2 = y * (x * z);
	double t_3 = x * ((y * z) - (t * a));
	double t_4 = j * ((t * c) - (y * i));
	double t_5 = (t_3 + (b * ((a * i) - (z * c)))) + t_4;
	double tmp;
	if (t_5 <= -((double) INFINITY)) {
		tmp = t_4 + ((t_2 - (a * (x * t))) - (z * (b * c)));
	} else if (t_5 <= 2e+305) {
		tmp = t_4 + (t_3 - ((b * ((z * c) - (a * i))) + (t_1 + t_1)));
	} else {
		tmp = (t_2 - (c * (z * b))) + (c * (t * 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(i * a)))) + Float64(j * Float64(Float64(c * t) - Float64(i * y))))
end

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(b * fma(Float64(-a), i, Float64(a * i)))
	t_2 = Float64(y * Float64(x * z))
	t_3 = Float64(x * Float64(Float64(y * z) - Float64(t * a)))
	t_4 = Float64(j * Float64(Float64(t * c) - Float64(y * i)))
	t_5 = Float64(Float64(t_3 + Float64(b * Float64(Float64(a * i) - Float64(z * c)))) + t_4)
	tmp = 0.0
	if (t_5 <= Float64(-Inf))
		tmp = Float64(t_4 + Float64(Float64(t_2 - Float64(a * Float64(x * t))) - Float64(z * Float64(b * c))));
	elseif (t_5 <= 2e+305)
		tmp = Float64(t_4 + Float64(t_3 - Float64(Float64(b * Float64(Float64(z * c) - Float64(a * i))) + Float64(t_1 + t_1))));
	else
		tmp = Float64(Float64(t_2 - Float64(c * Float64(z * b))) + Float64(c * Float64(t * j)));
	end
	return tmp
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(b * N[((-a) * i + N[(a * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(x * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(N[(t * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t$95$3 + N[(b * N[(N[(a * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision]}, If[LessEqual[t$95$5, (-Infinity)], N[(t$95$4 + N[(N[(t$95$2 - N[(a * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(z * N[(b * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$5, 2e+305], N[(t$95$4 + N[(t$95$3 - N[(N[(b * N[(N[(z * c), $MachinePrecision] - N[(a * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 + t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(t$95$2 - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Target

Original	81.0%
Target	74.6%
Herbie	88.6%

\[\begin{array}{l} \mathbf{if}\;t < -8.120978919195912 \cdot 10^{-33}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \mathbf{elif}\;t < -4.712553818218485 \cdot 10^{-169}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \frac{j \cdot \left({\left(c \cdot t\right)}^{2} - {\left(i \cdot y\right)}^{2}\right)}{c \cdot t + i \cdot y}\\ \mathbf{elif}\;t < -7.633533346031584 \cdot 10^{-308}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \mathbf{elif}\;t < 1.0535888557455487 \cdot 10^{-139}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \frac{j \cdot \left({\left(c \cdot t\right)}^{2} - {\left(i \cdot y\right)}^{2}\right)}{c \cdot t + i \cdot y}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \end{array} \]

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 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < -inf.0

   1. Initial program 0.0%

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

   2. Taylor expanded in y around 0 31.5%

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

   3. Taylor expanded in c around inf 44.2%

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

   4. Simplified 46.5%

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

      [Start] 44.2	\[ \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + y \cdot \left(z \cdot x\right)\right) - c \cdot \left(b \cdot z\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      associate-*r* [=>] 46.5	\[ \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + y \cdot \left(z \cdot x\right)\right) - \color{blue}{\left(c \cdot b\right) \cdot z}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      *-commutative [<=] 46.5	\[ \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + y \cdot \left(z \cdot x\right)\right) - \color{blue}{z \cdot \left(c \cdot b\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < 1.9999999999999999e305

   1. Initial program 98.7%

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

   2. Applied egg-rr 98.7%

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

   if 1.9999999999999999e305 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))))

   1. Initial program 4.7%

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

   2. Taylor expanded in c around inf 19.7%

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

   3. Taylor expanded in c around inf 32.5%

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

   4. Simplified 32.5%

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

      [Start] 32.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(b \cdot z\right)\right) + c \cdot \left(t \cdot j\right) \]
      *-commutative [=>] 32.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \color{blue}{\left(z \cdot b\right)}\right) + c \cdot \left(t \cdot j\right) \]

   5. Taylor expanded in y around inf 41.5%

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

4. Final simplification 88.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \leq -\infty:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right) + \left(\left(y \cdot \left(x \cdot z\right) - a \cdot \left(x \cdot t\right)\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \leq 2 \cdot 10^{+305}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) + \left(b \cdot \mathsf{fma}\left(-a, i, a \cdot i\right) + b \cdot \mathsf{fma}\left(-a, i, a \cdot i\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	88.6%
Cost	12680

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := \left(t_2 + b \cdot \left(a \cdot i - z \cdot c\right)\right) + t_3\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;t_3 + \left(\left(t_1 - a \cdot \left(x \cdot t\right)\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;t_4 \leq 2 \cdot 10^{+305}:\\ \;\;\;\;t_3 + \left(t_2 - \left(b \cdot \left(z \cdot c - a \cdot i\right) + b \cdot \mathsf{fma}\left(-a, i, a \cdot i\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right)\\ \end{array} \]

Alternative 2
Accuracy	88.6%
Cost	5832

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := t_2 + t_3\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;t_3 + \left(\left(t_1 - a \cdot \left(x \cdot t\right)\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;t_4 \leq 2 \cdot 10^{+305}:\\ \;\;\;\;t_2 + \left(j \cdot \left(t \cdot c\right) - j \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right)\\ \end{array} \]

Alternative 3
Accuracy	88.7%
Cost	5704

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_1 + \left(z \cdot \left(x \cdot y\right) + a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;t_2 \leq 2 \cdot 10^{+305}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\right) + t_1\\ \end{array} \]

Alternative 4
Accuracy	88.6%
Cost	5704

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + t_2\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;t_2 + \left(\left(t_1 - a \cdot \left(x \cdot t\right)\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;t_3 \leq 2 \cdot 10^{+305}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right)\\ \end{array} \]

Alternative 5
Accuracy	74.7%
Cost	3052

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := \left(t_1 + t_2\right) - y \cdot \left(i \cdot j\right)\\ t_4 := t_1 - c \cdot \left(z \cdot b\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := t_5 + \left(t_2 - a \cdot \left(x \cdot t\right)\right)\\ t_7 := a \cdot \left(b \cdot i\right)\\ \mathbf{if}\;j \leq -2.35 \cdot 10^{+139}:\\ \;\;\;\;t_5 + \left(t_1 + t_7\right)\\ \mathbf{elif}\;j \leq -1 \cdot 10^{+96}:\\ \;\;\;\;t_5 + \left(y \cdot \left(x \cdot z\right) + t_2\right)\\ \mathbf{elif}\;j \leq -1.02 \cdot 10^{-67}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -5.7 \cdot 10^{-86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -3.3 \cdot 10^{-93}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) + t_7\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -6.1 \cdot 10^{-136}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -3.7 \cdot 10^{-189}:\\ \;\;\;\;t_4 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{-130}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 9.8 \cdot 10^{+64}:\\ \;\;\;\;t_5 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;j \leq 4.2 \cdot 10^{+148}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5 + t_4\\ \end{array} \]

Alternative 6
Accuracy	58.4%
Cost	2928

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - t_1\\ t_5 := t_4 - i \cdot \left(y \cdot j\right)\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := t_3 + \left(t_6 - t \cdot \left(x \cdot a\right)\right)\\ t_8 := t_3 + \left(y \cdot \left(x \cdot z\right) + t_6\right)\\ t_9 := t_3 + \left(t_2 + t_6\right)\\ \mathbf{if}\;c \leq -1.7 \cdot 10^{+116}:\\ \;\;\;\;t_3 + \left(t_2 - t_1\right)\\ \mathbf{elif}\;c \leq -3.3 \cdot 10^{+31}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -2.05 \cdot 10^{+17}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-34}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-65}:\\ \;\;\;\;t_4 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-126}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-150}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{elif}\;c \leq -1.16 \cdot 10^{-187}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -1 \cdot 10^{-251}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -4.7 \cdot 10^{-284}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-258}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 9 \cdot 10^{+17}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_3 + t_4\\ \end{array} \]

Alternative 7
Accuracy	59.0%
Cost	2796

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := t_1 - t_2\\ t_6 := t_5 - i \cdot \left(y \cdot j\right)\\ t_7 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_8 := t_4 + \left(t_7 - t \cdot \left(x \cdot a\right)\right)\\ t_9 := t_4 + \left(t_3 + t_7\right)\\ \mathbf{if}\;c \leq -9.5 \cdot 10^{+118}:\\ \;\;\;\;t_4 + \left(t_3 - t_2\right)\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{+31}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -2.3 \cdot 10^{+17}:\\ \;\;\;\;t_4 + \left(y \cdot \left(x \cdot z\right) + t_7\right)\\ \mathbf{elif}\;c \leq -7.5 \cdot 10^{-36}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -5.4 \cdot 10^{-61}:\\ \;\;\;\;t_5 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-126}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{-150}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{elif}\;c \leq -2.65 \cdot 10^{-183}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{-284}:\\ \;\;\;\;t_4 + \left(t_1 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-259}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 2.4 \cdot 10^{+18}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_4 + t_5\\ \end{array} \]

Alternative 8
Accuracy	68.3%
Cost	2656

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := y \cdot \left(i \cdot j\right)\\ t_5 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - t_4\\ t_6 := c \cdot \left(t \cdot j\right)\\ t_7 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(t_3 - t_2\right)\\ \mathbf{if}\;c \leq -5 \cdot 10^{+128}:\\ \;\;\;\;t_6 + \left(z \cdot \left(x \cdot y\right) - t_2\right)\\ \mathbf{elif}\;c \leq -1.05 \cdot 10^{-66}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -6.5 \cdot 10^{-123}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -7 \cdot 10^{-252}:\\ \;\;\;\;\left(t_3 + a \cdot \left(b \cdot i\right)\right) - t_4\\ \mathbf{elif}\;c \leq -5.5 \cdot 10^{-290}:\\ \;\;\;\;t_6 + \left(t_3 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 2.15 \cdot 10^{-175}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 1.6 \cdot 10^{+22}:\\ \;\;\;\;\left(t_3 + t_1\right) + t_6\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{+156}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_6 + \left(x \cdot \left(y \cdot z\right) - t_2\right)\\ \end{array} \]

Alternative 9
Accuracy	69.3%
Cost	2656

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := y \cdot \left(i \cdot j\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := c \cdot \left(t \cdot j\right)\\ t_6 := t_1 + \left(t_2 - t_4\right)\\ t_7 := y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_8 := t_1 + t_7\\ \mathbf{if}\;c \leq -1.05 \cdot 10^{+129}:\\ \;\;\;\;t_5 + \left(z \cdot \left(x \cdot y\right) - t_4\right)\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-65}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{-126}:\\ \;\;\;\;t_7 - t_3\\ \mathbf{elif}\;c \leq -1.22 \cdot 10^{-250}:\\ \;\;\;\;\left(t_2 + a \cdot \left(b \cdot i\right)\right) - t_3\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-289}:\\ \;\;\;\;t_5 + \left(t_2 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-23}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+67}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 4.1 \cdot 10^{+150}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_5 + \left(x \cdot \left(y \cdot z\right) - t_4\right)\\ \end{array} \]

Alternative 10
Accuracy	58.3%
Cost	2532

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_3 + \left(t_4 - c \cdot \left(z \cdot b\right)\right)\\ t_6 := y \cdot \left(x \cdot z\right)\\ t_7 := t_3 + \left(z \cdot \left(x \cdot y\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ t_8 := \left(t_6 + t_1\right) - t_2\\ \mathbf{if}\;c \leq -2.02 \cdot 10^{-23}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -2.8 \cdot 10^{-124}:\\ \;\;\;\;\left(t_6 - b \cdot \left(z \cdot c\right)\right) - t_2\\ \mathbf{elif}\;c \leq -3.55 \cdot 10^{-184}:\\ \;\;\;\;t_3 + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-233}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -2 \cdot 10^{-248}:\\ \;\;\;\;t_3 + \left(t_4 - t_1\right)\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-252}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -2.55 \cdot 10^{-290}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 9 \cdot 10^{-255}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{+17}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 11
Accuracy	57.2%
Cost	2532

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - t_3\\ t_5 := y \cdot \left(x \cdot z\right)\\ t_6 := c \cdot \left(t \cdot j\right)\\ t_7 := t_4 - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;c \leq -2.6 \cdot 10^{+117}:\\ \;\;\;\;t_6 + \left(t_1 - t_3\right)\\ \mathbf{elif}\;c \leq -5 \cdot 10^{+32}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -2.1 \cdot 10^{-25}:\\ \;\;\;\;t_6 + \left(t_2 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -8.5 \cdot 10^{-125}:\\ \;\;\;\;\left(t_5 - b \cdot \left(z \cdot c\right)\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;c \leq -1.55 \cdot 10^{-186}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{elif}\;c \leq -1 \cdot 10^{-249}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -5.6 \cdot 10^{-284}:\\ \;\;\;\;t_6 + \left(t_5 + t_2\right)\\ \mathbf{elif}\;c \leq 1.4 \cdot 10^{-256}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 9 \cdot 10^{+16}:\\ \;\;\;\;t_6 + \left(t_1 + t_2\right)\\ \mathbf{else}:\\ \;\;\;\;t_6 + t_4\\ \end{array} \]

Alternative 12
Accuracy	60.1%
Cost	2532

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := t_1 + \left(t_2 - a \cdot \left(x \cdot t\right)\right)\\ t_4 := t_1 + \left(z \cdot \left(x \cdot y\right) + t_2\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 - c \cdot \left(z \cdot b\right)\\ t_7 := y \cdot \left(x \cdot z\right)\\ t_8 := y \cdot \left(i \cdot j\right)\\ t_9 := t_6 - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;i \leq -17000000:\\ \;\;\;\;\left(t_7 + t_2\right) - t_8\\ \mathbf{elif}\;i \leq -1.75 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -7 \cdot 10^{-113}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq -1.22 \cdot 10^{-169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 6.4 \cdot 10^{-281}:\\ \;\;\;\;t_1 + t_6\\ \mathbf{elif}\;i \leq 1.45 \cdot 10^{-63}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 2.75 \cdot 10^{+54}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{+137}:\\ \;\;\;\;\left(t_7 + a \cdot \left(b \cdot i\right)\right) - t_8\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{+172}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(t_5 + i \cdot \left(a \cdot b\right)\right)\\ \end{array} \]

Alternative 13
Accuracy	65.8%
Cost	2524

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := y \cdot \left(i \cdot j\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := \left(y \cdot \left(x \cdot z\right) + t_4\right) - t_3\\ t_6 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -2.3 \cdot 10^{+117}:\\ \;\;\;\;t_6 + \left(z \cdot \left(x \cdot y\right) - t_2\right)\\ \mathbf{elif}\;c \leq -2.75 \cdot 10^{+32}:\\ \;\;\;\;\left(t_1 - t_2\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;c \leq -2.8 \cdot 10^{-25}:\\ \;\;\;\;t_6 + \left(t_4 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{-123}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -1.35 \cdot 10^{-251}:\\ \;\;\;\;\left(t_1 + a \cdot \left(b \cdot i\right)\right) - t_3\\ \mathbf{elif}\;c \leq -4.9 \cdot 10^{-290}:\\ \;\;\;\;t_6 + \left(t_1 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-178}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 + t_4\right) + t_6\\ \end{array} \]

Alternative 14
Accuracy	56.7%
Cost	2400

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := \left(y \cdot \left(x \cdot z\right) + a \cdot \left(b \cdot i\right)\right) - y \cdot \left(i \cdot j\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := t_3 + \left(t_4 - t \cdot \left(x \cdot a\right)\right)\\ t_6 := t_3 + \left(z \cdot \left(x \cdot y\right) + t_4\right)\\ \mathbf{if}\;i \leq -23000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq -2.9 \cdot 10^{-80}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -8.5 \cdot 10^{-97}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;i \leq -5.5 \cdot 10^{-169}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 1.9 \cdot 10^{-280}:\\ \;\;\;\;t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{-62}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{+56}:\\ \;\;\;\;t_3 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{+136}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 15
Accuracy	61.9%
Cost	2400

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_4 := \left(y \cdot \left(x \cdot z\right) + t_3\right) - y \cdot \left(i \cdot j\right)\\ t_5 := t_1 - t_2\\ t_6 := c \cdot \left(t \cdot j\right)\\ t_7 := t_5 - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;c \leq -6.5 \cdot 10^{+115}:\\ \;\;\;\;t_6 + \left(z \cdot \left(x \cdot y\right) - t_2\right)\\ \mathbf{elif}\;c \leq -7 \cdot 10^{+31}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -1.85 \cdot 10^{-25}:\\ \;\;\;\;t_6 + \left(t_3 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -2.9 \cdot 10^{-126}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -2.05 \cdot 10^{-187}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{elif}\;c \leq -2.25 \cdot 10^{-251}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-292}:\\ \;\;\;\;t_6 + \left(t_1 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 7.8 \cdot 10^{-23}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6 + t_5\\ \end{array} \]

Alternative 16
Accuracy	61.6%
Cost	2400

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := y \cdot \left(i \cdot j\right)\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := t_1 - t_3\\ t_7 := c \cdot \left(t \cdot j\right)\\ t_8 := t_6 - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;c \leq -3.4 \cdot 10^{+118}:\\ \;\;\;\;t_7 + \left(t_2 - t_3\right)\\ \mathbf{elif}\;c \leq -1.46 \cdot 10^{+32}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-26}:\\ \;\;\;\;t_7 + \left(t_5 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -1.05 \cdot 10^{-123}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + t_5\right) - t_4\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-251}:\\ \;\;\;\;\left(t_1 + a \cdot \left(b \cdot i\right)\right) - t_4\\ \mathbf{elif}\;c \leq -1.4 \cdot 10^{-284}:\\ \;\;\;\;t_7 + \left(t_1 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-256}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 1.75 \cdot 10^{+18}:\\ \;\;\;\;t_7 + \left(t_2 + t_5\right)\\ \mathbf{else}:\\ \;\;\;\;t_7 + t_6\\ \end{array} \]

Alternative 17
Accuracy	68.9%
Cost	2392

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;c \leq -4.2 \cdot 10^{+129}:\\ \;\;\;\;t_4 + \left(t_2 - t_3\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-63}:\\ \;\;\;\;t_5 + \left(t_6 - t_3\right)\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-123}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + t_1\right) - t_7\\ \mathbf{elif}\;c \leq -6.4 \cdot 10^{-252}:\\ \;\;\;\;\left(t_6 + a \cdot \left(b \cdot i\right)\right) - t_7\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-289}:\\ \;\;\;\;t_4 + \left(t_6 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 10^{+150}:\\ \;\;\;\;t_5 + \left(t_2 + t_1\right)\\ \mathbf{else}:\\ \;\;\;\;t_4 + \left(x \cdot \left(y \cdot z\right) - t_3\right)\\ \end{array} \]

Alternative 18
Accuracy	75.7%
Cost	2392

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ t_5 := t_3 + \left(t_2 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{if}\;j \leq -1.7 \cdot 10^{+139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+102}:\\ \;\;\;\;t_3 + \left(y \cdot \left(x \cdot z\right) + t_2\right)\\ \mathbf{elif}\;j \leq -6.6 \cdot 10^{-134}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-74}:\\ \;\;\;\;\left(t_1 + t_2\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;j \leq 3.7 \cdot 10^{+70}:\\ \;\;\;\;t_3 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{+147}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 19
Accuracy	76.1%
Cost	2392

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ t_5 := t_3 + \left(t_2 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{if}\;j \leq -9 \cdot 10^{+138}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -4.1 \cdot 10^{+98}:\\ \;\;\;\;t_3 + \left(y \cdot \left(x \cdot z\right) + t_2\right)\\ \mathbf{elif}\;j \leq -2 \cdot 10^{-67}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 2.4 \cdot 10^{-130}:\\ \;\;\;\;\left(t_1 + t_2\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{+75}:\\ \;\;\;\;t_3 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;j \leq 3.1 \cdot 10^{+147}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 20
Accuracy	76.1%
Cost	2392

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ t_5 := t_3 + \left(t_2 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{if}\;j \leq -7.2 \cdot 10^{+139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -3.05 \cdot 10^{+94}:\\ \;\;\;\;t_3 + \left(y \cdot \left(x \cdot z\right) + t_2\right)\\ \mathbf{elif}\;j \leq -1.26 \cdot 10^{-70}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 2.3 \cdot 10^{-130}:\\ \;\;\;\;\left(t_1 + t_2\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{+68}:\\ \;\;\;\;t_3 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;j \leq 1.22 \cdot 10^{+150}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 21
Accuracy	57.4%
Cost	2268

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot j\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := a \cdot \left(b \cdot i\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_2 + \left(t_4 - c \cdot \left(z \cdot b\right)\right)\\ t_6 := y \cdot \left(x \cdot z\right)\\ t_7 := t_2 + \left(t_6 + b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;c \leq -2.05 \cdot 10^{-24}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-124}:\\ \;\;\;\;\left(t_6 - b \cdot \left(z \cdot c\right)\right) - t_1\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-219}:\\ \;\;\;\;t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;c \leq -2.45 \cdot 10^{-284}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-293}:\\ \;\;\;\;t_2 + \left(t_4 - t_3\right)\\ \mathbf{elif}\;c \leq 9 \cdot 10^{-255}:\\ \;\;\;\;\left(t_6 + t_3\right) - t_1\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-24}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 22
Accuracy	58.2%
Cost	2268

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := y \cdot \left(i \cdot j\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := c \cdot \left(t \cdot j\right)\\ t_6 := t_5 + \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right)\\ t_7 := t \cdot \left(c \cdot j\right) + \left(t_1 - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{if}\;c \leq -5.2 \cdot 10^{-24}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -1.06 \cdot 10^{-125}:\\ \;\;\;\;\left(t_2 - b \cdot \left(z \cdot c\right)\right) - t_3\\ \mathbf{elif}\;c \leq -4 \cdot 10^{-224}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-284}:\\ \;\;\;\;t_5 + \left(t_2 + t_4\right)\\ \mathbf{elif}\;c \leq -1.02 \cdot 10^{-290}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-261}:\\ \;\;\;\;\left(t_2 + t_1\right) - t_3\\ \mathbf{elif}\;c \leq 8 \cdot 10^{+16}:\\ \;\;\;\;t_5 + \left(z \cdot \left(x \cdot y\right) + t_4\right)\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 23
Accuracy	76.5%
Cost	2260

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;j \leq -1.35 \cdot 10^{+139}:\\ \;\;\;\;t_3 + \left(t_1 + a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{-71}:\\ \;\;\;\;t_3 + \left(y \cdot \left(x \cdot z\right) + t_2\right)\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{-130}:\\ \;\;\;\;\left(t_1 + t_2\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;j \leq 2.25 \cdot 10^{+70}:\\ \;\;\;\;t_3 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{+150}:\\ \;\;\;\;t_3 + \left(t_2 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ \end{array} \]

Alternative 24
Accuracy	58.4%
Cost	2136

\[\begin{array}{l} t_1 := \left(y \cdot \left(x \cdot z\right) - b \cdot \left(z \cdot c\right)\right) - y \cdot \left(i \cdot j\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_4 := t_2 + \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{if}\;a \leq -4.6 \cdot 10^{+23}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -2.15 \cdot 10^{-193}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-289}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-286}:\\ \;\;\;\;t_2 + \left(x \cdot \left(y \cdot z\right) + a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.65 \cdot 10^{+97}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 25
Accuracy	54.0%
Cost	1880

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := \left(y \cdot \left(x \cdot z\right) - b \cdot \left(z \cdot c\right)\right) - y \cdot \left(i \cdot j\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := t_3 + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_5 := t_3 + \left(z \cdot \left(x \cdot y\right) - t_1\right)\\ \mathbf{if}\;a \leq -3.4 \cdot 10^{+23}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -3 \cdot 10^{-194}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -2.1 \cdot 10^{-288}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-284}:\\ \;\;\;\;t_3 + \left(x \cdot \left(y \cdot z\right) - t_1\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-110}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 10^{+49}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 26
Accuracy	53.3%
Cost	1880

\[\begin{array}{l} t_1 := \left(y \cdot \left(x \cdot z\right) - b \cdot \left(z \cdot c\right)\right) - y \cdot \left(i \cdot j\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_5 := t_2 + \left(t_3 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{if}\;a \leq -2.15 \cdot 10^{+23}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-193}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-289}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-285}:\\ \;\;\;\;t_2 + \left(t_3 + a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{-111}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 8.4 \cdot 10^{+51}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 27
Accuracy	53.3%
Cost	1880

\[\begin{array}{l} t_1 := \left(y \cdot \left(x \cdot z\right) - b \cdot \left(z \cdot c\right)\right) - y \cdot \left(i \cdot j\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_4 := t_2 + \left(z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{if}\;a \leq -1.3 \cdot 10^{+23}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-195}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-289}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 7.8 \cdot 10^{-286}:\\ \;\;\;\;t_2 + \left(x \cdot \left(y \cdot z\right) + a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 4.5 \cdot 10^{-111}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 28
Accuracy	36.0%
Cost	1760

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 + a \cdot \left(b \cdot i\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;c \leq -3.3 \cdot 10^{+79}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{-126}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6.8 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{-307}:\\ \;\;\;\;t_1 + i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq 1.4 \cdot 10^{-129}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 8.2 \cdot 10^{-92}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 29
Accuracy	36.1%
Cost	1632

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 + a \cdot \left(b \cdot i\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -6.5 \cdot 10^{+79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.05 \cdot 10^{-125}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{-200}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -7 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-307}:\\ \;\;\;\;t_1 + i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{-129}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 6 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 30
Accuracy	41.8%
Cost	1620

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;c \leq -5.8 \cdot 10^{+79}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{-124}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-287}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.4 \cdot 10^{-178}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1 - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 31
Accuracy	24.4%
Cost	1371

\[\begin{array}{l} \mathbf{if}\;t \leq -2.6 \cdot 10^{+141} \lor \neg \left(t \leq -4 \cdot 10^{-118} \lor \neg \left(t \leq -6.7 \cdot 10^{-254}\right) \land \left(t \leq 8.2 \cdot 10^{-305} \lor \neg \left(t \leq 5.2 \cdot 10^{-121}\right) \land t \leq 4.1 \cdot 10^{-37}\right)\right):\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 32
Accuracy	35.8%
Cost	1368

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right) + a \cdot \left(b \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -3.6 \cdot 10^{+79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.55 \cdot 10^{-124}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.75 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-129}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.75 \cdot 10^{-91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{+71}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 33
Accuracy	53.8%
Cost	1353

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;a \leq -1.25 \cdot 10^{+23} \lor \neg \left(a \leq 9 \cdot 10^{+48}\right):\\ \;\;\;\;t_1 + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\right) + t_1\\ \end{array} \]

Alternative 34
Accuracy	53.7%
Cost	1353

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;a \leq -7.4 \cdot 10^{+22} \lor \neg \left(a \leq 6.5 \cdot 10^{+48}\right):\\ \;\;\;\;t_1 + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(z \cdot \left(x \cdot y\right) - c \cdot \left(z \cdot b\right)\right)\\ \end{array} \]

Alternative 35
Accuracy	19.3%
Cost	1112

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := c \cdot \left(z \cdot \left(-b\right)\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;t \leq -1.46 \cdot 10^{+141}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.1 \cdot 10^{-118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{-256}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3.3 \cdot 10^{-305}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-121}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{-36}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 36
Accuracy	36.8%
Cost	841

\[\begin{array}{l} \mathbf{if}\;c \leq -5.2 \cdot 10^{+79} \lor \neg \left(c \leq 2.1 \cdot 10^{+72}\right):\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \end{array} \]

Alternative 37
Accuracy	21.3%
Cost	585

\[\begin{array}{l} \mathbf{if}\;j \leq -2.3 \cdot 10^{-68} \lor \neg \left(j \leq 7.6 \cdot 10^{-45}\right):\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \end{array} \]

Alternative 38
Accuracy	21.0%
Cost	585

\[\begin{array}{l} \mathbf{if}\;j \leq -2.8 \cdot 10^{-93} \lor \neg \left(j \leq 4.25 \cdot 10^{-45}\right):\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \end{array} \]

Alternative 39
Accuracy	16.3%
Cost	320

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

Reproduce

herbie shell --seed 2023141 
(FPCore (x y z t a b c i j)
  :name "Linear.Matrix:det33 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< t -8.120978919195912e-33) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j))) (if (< t -4.712553818218485e-169) (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (/ (* j (- (pow (* c t) 2.0) (pow (* i y) 2.0))) (+ (* c t) (* i y)))) (if (< t -7.633533346031584e-308) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j))) (if (< t 1.0535888557455487e-139) (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (/ (* j (- (pow (* c t) 2.0) (pow (* i y) 2.0))) (+ (* c t) (* i y)))) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j)))))))

  (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y)))))