?

Average Accuracy: 81.7% → 88.6%
Time: 1.1min
Precision: binary64
Cost: 19016

?

\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := t_3 + \left(t_2 + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_4 \leq -2 \cdot 10^{+307}:\\ \;\;\;\;\left(t_1 - a \cdot \left(x \cdot t\right)\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t_4 \leq 2 \cdot 10^{+303}:\\ \;\;\;\;t_3 - \left(\left(b \cdot \mathsf{fma}\left(c, z, t \cdot \left(-i\right)\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right) - t_2\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]
(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 (* i (* t b)))
        (t_2 (* x (- (* y z) (* t a))))
        (t_3 (* j (- (* a c) (* y i))))
        (t_4 (+ t_3 (+ t_2 (* b (- (* t i) (* z c)))))))
   (if (<= t_4 -2e+307)
     (+ (- t_1 (* a (* x t))) (* c (* a j)))
     (if (<= t_4 2e+303)
       (-
        t_3
        (- (+ (* b (fma c z (* t (- i)))) (* b (fma (- i) t (* t i)))) t_2))
       (+ t_1 (* c (- (* a j) (* z b))))))))
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 = i * (t * b);
	double t_2 = x * ((y * z) - (t * a));
	double t_3 = j * ((a * c) - (y * i));
	double t_4 = t_3 + (t_2 + (b * ((t * i) - (z * c))));
	double tmp;
	if (t_4 <= -2e+307) {
		tmp = (t_1 - (a * (x * t))) + (c * (a * j));
	} else if (t_4 <= 2e+303) {
		tmp = t_3 - (((b * fma(c, z, (t * -i))) + (b * fma(-i, t, (t * i)))) - t_2);
	} else {
		tmp = t_1 + (c * ((a * j) - (z * b)));
	}
	return tmp;
}
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(i * Float64(t * b))
	t_2 = Float64(x * Float64(Float64(y * z) - Float64(t * a)))
	t_3 = Float64(j * Float64(Float64(a * c) - Float64(y * i)))
	t_4 = Float64(t_3 + Float64(t_2 + Float64(b * Float64(Float64(t * i) - Float64(z * c)))))
	tmp = 0.0
	if (t_4 <= -2e+307)
		tmp = Float64(Float64(t_1 - Float64(a * Float64(x * t))) + Float64(c * Float64(a * j)));
	elseif (t_4 <= 2e+303)
		tmp = Float64(t_3 - Float64(Float64(Float64(b * fma(c, z, Float64(t * Float64(-i)))) + Float64(b * fma(Float64(-i), t, Float64(t * i)))) - t_2));
	else
		tmp = Float64(t_1 + Float64(c * Float64(Float64(a * j) - Float64(z * b))));
	end
	return tmp
end
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[(i * N[(t * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t$95$3 + N[(t$95$2 + N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$4, -2e+307], N[(N[(t$95$1 - N[(a * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 2e+303], N[(t$95$3 - N[(N[(N[(b * N[(c * z + N[(t * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[((-i) * t + N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$2), $MachinePrecision]), $MachinePrecision], N[(t$95$1 + N[(c * N[(N[(a * j), $MachinePrecision] - N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]
\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 := i \cdot \left(t \cdot b\right)\\
t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\
t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\
t_4 := t_3 + \left(t_2 + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\
\mathbf{if}\;t_4 \leq -2 \cdot 10^{+307}:\\
\;\;\;\;\left(t_1 - a \cdot \left(x \cdot t\right)\right) + c \cdot \left(a \cdot j\right)\\

\mathbf{elif}\;t_4 \leq 2 \cdot 10^{+303}:\\
\;\;\;\;t_3 - \left(\left(b \cdot \mathsf{fma}\left(c, z, t \cdot \left(-i\right)\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right) - t_2\right)\\

\mathbf{else}:\\
\;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\


\end{array}

Error?

Target

Original81.7%
Target69.5%
Herbie88.6%
\[\begin{array}{l} \mathbf{if}\;x < -1.469694296777705 \cdot 10^{-64}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{elif}\;x < 3.2113527362226803 \cdot 10^{-147}:\\ \;\;\;\;\left(b \cdot i - x \cdot a\right) \cdot t - \left(z \cdot \left(c \cdot b\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \end{array} \]

Derivation?

  1. Split input into 3 regimes
  2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < -1.99999999999999997e307

    1. Initial program 2.4%

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
    2. Simplified2.4%

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

      [Start]2.4

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

      cancel-sign-sub [<=]2.4

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

      cancel-sign-sub-inv [=>]2.4

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

      *-commutative [=>]2.4

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

      remove-double-neg [=>]2.4

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

      *-commutative [=>]2.4

      \[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right) \]
    3. Taylor expanded in a around inf 20.6%

      \[\leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{c \cdot \left(a \cdot j\right)} \]
    4. Simplified20.6%

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

      [Start]20.6

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

      *-commutative [=>]20.6

      \[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + c \cdot \color{blue}{\left(j \cdot a\right)} \]
    5. Taylor expanded in z around 0 39.2%

      \[\leadsto \color{blue}{\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - -1 \cdot \left(i \cdot \left(t \cdot b\right)\right)\right)} + c \cdot \left(j \cdot a\right) \]
    6. Simplified39.2%

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

      [Start]39.2

      \[ \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - -1 \cdot \left(i \cdot \left(t \cdot b\right)\right)\right) + c \cdot \left(j \cdot a\right) \]

      sub-neg [=>]39.2

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

      *-lft-identity [<=]39.2

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

      metadata-eval [<=]39.2

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

      cancel-sign-sub-inv [<=]39.2

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

      distribute-lft-out-- [=>]39.2

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

      mul-1-neg [=>]39.2

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

      remove-double-neg [=>]39.2

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

    if -1.99999999999999997e307 < (+.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)))) < 2e303

    1. Initial program 98.8%

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
    2. Simplified98.8%

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

      [Start]98.8

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

      cancel-sign-sub [<=]98.8

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

      cancel-sign-sub-inv [=>]98.8

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

      *-commutative [=>]98.8

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

      remove-double-neg [=>]98.8

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

      *-commutative [=>]98.8

      \[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right) \]
    3. Applied egg-rr98.8%

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

      [Start]98.8

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

      prod-diff [=>]98.8

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

      *-commutative [<=]98.8

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

      fma-neg [<=]98.8

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

      distribute-rgt-in [=>]98.8

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

      *-commutative [<=]98.8

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

      sub-neg [=>]98.8

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

      *-commutative [=>]98.8

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

      fma-def [=>]98.8

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

      *-commutative [=>]98.8

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

      distribute-rgt-neg-in [=>]98.8

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

    if 2e303 < (+.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 7.0%

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
    2. Simplified7.0%

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

      [Start]7.0

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

      cancel-sign-sub [<=]7.0

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

      cancel-sign-sub-inv [=>]7.0

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

      *-commutative [=>]7.0

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

      remove-double-neg [=>]7.0

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

      *-commutative [=>]7.0

      \[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + j \cdot \left(\color{blue}{a \cdot c} - y \cdot i\right) \]
    3. Taylor expanded in a around inf 21.7%

      \[\leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + \color{blue}{c \cdot \left(a \cdot j\right)} \]
    4. Simplified21.7%

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

      [Start]21.7

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

      *-commutative [=>]21.7

      \[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - t \cdot i\right)\right) + c \cdot \color{blue}{\left(j \cdot a\right)} \]
    5. Taylor expanded in b around inf 23.7%

      \[\leadsto \color{blue}{\left(i \cdot t - c \cdot z\right) \cdot b} + c \cdot \left(j \cdot a\right) \]
    6. Taylor expanded in c around 0 45.8%

      \[\leadsto \color{blue}{i \cdot \left(t \cdot b\right) + \left(-1 \cdot \left(b \cdot z\right) + a \cdot j\right) \cdot c} \]
  3. Recombined 3 regimes into one program.
  4. Final simplification88.6%

    \[\leadsto \begin{array}{l} \mathbf{if}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq -2 \cdot 10^{+307}:\\ \;\;\;\;\left(i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) \leq 2 \cdot 10^{+303}:\\ \;\;\;\;j \cdot \left(a \cdot c - y \cdot i\right) - \left(\left(b \cdot \mathsf{fma}\left(c, z, t \cdot \left(-i\right)\right) + b \cdot \mathsf{fma}\left(-i, t, t \cdot i\right)\right) - x \cdot \left(y \cdot z - t \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy88.6%
Cost5832
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right) + t_1\\ t_3 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;t_2 \leq -2 \cdot 10^{+307}:\\ \;\;\;\;\left(t_3 - a \cdot \left(x \cdot t\right)\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t_2 \leq 2 \cdot 10^{+303}:\\ \;\;\;\;t_1 + \left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]
Alternative 2
Accuracy88.6%
Cost5704
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_2 \leq -2 \cdot 10^{+307}:\\ \;\;\;\;\left(t_1 - a \cdot \left(x \cdot t\right)\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t_2 \leq 2 \cdot 10^{+303}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]
Alternative 3
Accuracy44.7%
Cost3205
\[\begin{array}{l} t_1 := i \cdot \left(y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_5 := y \cdot \left(x \cdot z\right)\\ t_6 := z \cdot \left(x \cdot y\right)\\ t_7 := t_6 - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;t \leq -1.75 \cdot 10^{+103}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -6 \cdot 10^{+76}:\\ \;\;\;\;b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{elif}\;t \leq -0.68:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -3 \cdot 10^{-92}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - t_1\\ \mathbf{elif}\;t \leq -1.7 \cdot 10^{-106}:\\ \;\;\;\;t_2 + t_5\\ \mathbf{elif}\;t \leq -1.5 \cdot 10^{-130}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.3 \cdot 10^{-217}:\\ \;\;\;\;t_5 - t_1\\ \mathbf{elif}\;t \leq -4.2 \cdot 10^{-264}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1 \cdot 10^{-289}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 2.45 \cdot 10^{-284}:\\ \;\;\;\;t_2 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-259}:\\ \;\;\;\;t_2 + t_6\\ \mathbf{elif}\;t \leq 9 \cdot 10^{-245}:\\ \;\;\;\;i \cdot \left(j \cdot \left(-y\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{-159}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{-145} \lor \neg \left(t \leq 2.3 \cdot 10^{-32}\right) \land t \leq 10800000000000:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 4
Accuracy34.5%
Cost3080
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t_2 + y \cdot \left(x \cdot z\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_5 := i \cdot \left(t \cdot b\right)\\ t_6 := t_5 - i \cdot \left(y \cdot j\right)\\ t_7 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;y \leq -2.75 \cdot 10^{+128}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -6.8 \cdot 10^{+18}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -4.4 \cdot 10^{-39}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -1.2 \cdot 10^{-50}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{-58}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -5.7 \cdot 10^{-89}:\\ \;\;\;\;t_2 + z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;y \leq -2.3 \cdot 10^{-126}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -8.4 \cdot 10^{-137}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.15 \cdot 10^{-230}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{-272}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-306}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-291}:\\ \;\;\;\;t_5 + t_2\\ \mathbf{elif}\;y \leq 4 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.7 \cdot 10^{-191}:\\ \;\;\;\;a \cdot \left(c \cdot j\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{-145}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-88}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 0.018:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{+70}:\\ \;\;\;\;t_2 - a \cdot \left(x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 5
Accuracy32.3%
Cost3080
\[\begin{array}{l} t_1 := i \cdot \left(y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_6 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_7 := i \cdot \left(t \cdot b\right)\\ t_8 := t_7 - t_1\\ \mathbf{if}\;t \leq -4.3 \cdot 10^{+142}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{+76}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -120000:\\ \;\;\;\;t_2 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;t \leq -9 \cdot 10^{-82}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-92}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -1.35 \cdot 10^{-124}:\\ \;\;\;\;t_2 + t_4\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-191}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -4.8 \cdot 10^{-217}:\\ \;\;\;\;t_4 - t_1\\ \mathbf{elif}\;t \leq -4.3 \cdot 10^{-264}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-244}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-154}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 2.55 \cdot 10^{-97}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-32}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;t \leq 920000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.5 \cdot 10^{+21}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3 \cdot 10^{+119}:\\ \;\;\;\;i \cdot \left(j \cdot \left(-y\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 8.2 \cdot 10^{+156}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{+192}:\\ \;\;\;\;a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_7 + t_2\\ \end{array} \]
Alternative 6
Accuracy69.9%
Cost2920
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := t_2 + t_1\\ t_4 := t_3 + a \cdot \left(c \cdot j\right)\\ t_5 := i \cdot \left(y \cdot j\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := t_6 + \left(t_1 + y \cdot \left(x \cdot z\right)\right)\\ t_8 := t_6 + \left(t_2 + i \cdot \left(t \cdot b\right)\right)\\ \mathbf{if}\;t \leq -2 \cdot 10^{+102}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -6 \cdot 10^{+76}:\\ \;\;\;\;t_1 - t_5\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{+25}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{-88}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.45 \cdot 10^{-96}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-295}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 4.4 \cdot 10^{-243}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 6.8 \cdot 10^{-175}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-67}:\\ \;\;\;\;t_3 - t_5\\ \mathbf{elif}\;t \leq 6.7 \cdot 10^{+62}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i - x \cdot a\right)\\ \end{array} \]
Alternative 7
Accuracy71.1%
Cost2788
\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_1 + \left(t_2 + y \cdot \left(x \cdot z\right)\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_4 + t_2\\ t_6 := t_5 - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;a \leq -5.8 \cdot 10^{+43}:\\ \;\;\;\;t_5 + a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-150}:\\ \;\;\;\;t_1 + \left(t_4 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 1.2 \cdot 10^{-145}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 2.45 \cdot 10^{-138}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{-85}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 4.2 \cdot 10^{+141}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{+232}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) - a \cdot \left(x \cdot t\right)\\ \end{array} \]
Alternative 8
Accuracy70.6%
Cost2788
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := \left(t_2 + t_1\right) + a \cdot \left(c \cdot j\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := t_4 + \left(t_1 + y \cdot \left(x \cdot z\right)\right)\\ t_6 := t_4 + \left(t_2 + i \cdot \left(t \cdot b\right)\right)\\ \mathbf{if}\;t \leq -2.3 \cdot 10^{+102}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{+76}:\\ \;\;\;\;t_1 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;t \leq -4 \cdot 10^{+27}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{-88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{-96}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-295}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-243}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-148}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+63}:\\ \;\;\;\;t_4 + \left(t_1 - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + t \cdot \left(b \cdot i - x \cdot a\right)\\ \end{array} \]
Alternative 9
Accuracy75.1%
Cost2784
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 + i \cdot \left(t \cdot b\right)\\ t_3 := c \cdot \left(a \cdot j\right) + \left(t_2 - c \cdot \left(z \cdot b\right)\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_6 := t_4 + \left(t_5 - a \cdot \left(x \cdot t\right)\right)\\ t_7 := \left(t_1 + t_5\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;c \leq -1.3 \cdot 10^{+94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1950000:\\ \;\;\;\;t_4 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-42}:\\ \;\;\;\;t_4 + t_2\\ \mathbf{elif}\;c \leq -2.65 \cdot 10^{-93}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-262}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 4.1 \cdot 10^{-278}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-162}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 1.22 \cdot 10^{-42}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 10
Accuracy51.8%
Cost2676
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) - i \cdot \left(y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t_2 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;t \leq -1.36 \cdot 10^{+103}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -6 \cdot 10^{+76}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{+24}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -9 \cdot 10^{-82}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -9.5 \cdot 10^{-92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-154}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.45 \cdot 10^{-106}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{-81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{-62}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-33}:\\ \;\;\;\;t_2 + t_5\\ \mathbf{elif}\;t \leq 5.1 \cdot 10^{-19}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq 5500000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+46}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 11
Accuracy51.4%
Cost2676
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right) - i \cdot \left(y \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := t_3 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := t_3 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;t \leq -1.25 \cdot 10^{+103}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -4.5 \cdot 10^{+76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq -980000000000:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_3\\ \mathbf{elif}\;t \leq -8.8 \cdot 10^{-82}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -2.6 \cdot 10^{-89}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{-154}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{-104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 4.5 \cdot 10^{-81}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3.5 \cdot 10^{-63}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;t \leq 2.25 \cdot 10^{-33}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-19}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq 3300000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{+46}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 12
Accuracy55.9%
Cost2664
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_4 := t_1 + \left(t_2 + y \cdot \left(x \cdot z\right)\right)\\ \mathbf{if}\;t \leq -1.28 \cdot 10^{+157}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.8 \cdot 10^{+51}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.25 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{-131}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -6.5 \cdot 10^{-198}:\\ \;\;\;\;t_2 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{-256}:\\ \;\;\;\;t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{-245}:\\ \;\;\;\;i \cdot \left(j \cdot \left(-y\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;t \leq 3 \cdot 10^{-148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{-65}:\\ \;\;\;\;\left(i \cdot \left(t \cdot b\right) - a \cdot \left(x \cdot t\right)\right) + t_1\\ \mathbf{elif}\;t \leq 10^{+47}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 13
Accuracy62.3%
Cost2660
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_4 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_7 := i \cdot \left(y \cdot j\right)\\ t_8 := \left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right) + \left(t_2 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{if}\;t \leq -5.4 \cdot 10^{+104}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-82}:\\ \;\;\;\;t_4 + \left(t_5 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{-90}:\\ \;\;\;\;t_3 - t_7\\ \mathbf{elif}\;t \leq -2.1 \cdot 10^{-114}:\\ \;\;\;\;t_4 + \left(t_1 + t_2\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{-148}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-90}:\\ \;\;\;\;\left(t_3 - a \cdot \left(x \cdot t\right)\right) + t_4\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-82}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-50}:\\ \;\;\;\;t_4 + \left(t_5 + t_3\right)\\ \mathbf{elif}\;t \leq 2.45 \cdot 10^{-33}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 5.5 \cdot 10^{-19}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{+25}:\\ \;\;\;\;t_1 - t_7\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 14
Accuracy71.5%
Cost2657
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := t_2 + \left(t_1 + y \cdot \left(x \cdot z\right)\right)\\ t_4 := i \cdot \left(t \cdot b\right) - i \cdot \left(y \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := c \cdot \left(a \cdot j\right) + \left(t_5 + t_1\right)\\ t_7 := t_2 + \left(t_5 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{if}\;i \leq -1.75 \cdot 10^{+113}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -1.45 \cdot 10^{-16}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 1.3 \cdot 10^{-299}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq 3.4 \cdot 10^{-160}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 10^{-129}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq 5.5 \cdot 10^{+73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{+136} \lor \neg \left(i \leq 8.5 \cdot 10^{+181}\right):\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 15
Accuracy57.5%
Cost2532
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t_2 + \left(t_1 + y \cdot \left(x \cdot z\right)\right)\\ t_4 := t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := t_2 + \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right)\\ t_6 := i \cdot \left(y \cdot j\right)\\ t_7 := t_1 - t_6\\ \mathbf{if}\;t \leq -3.8 \cdot 10^{+104}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -8 \cdot 10^{-82}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -2.7 \cdot 10^{-89}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - t_6\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-124}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -4.2 \cdot 10^{-288}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 1.15 \cdot 10^{-154}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.72 \cdot 10^{-105}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 2.5 \cdot 10^{-31}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{+47}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 16
Accuracy69.9%
Cost2524
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := \left(t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\right) + a \cdot \left(c \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := t_3 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_5 := \left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right) + \left(y \cdot \left(x \cdot z\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{if}\;t \leq -7.1 \cdot 10^{+171}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-128}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{-295}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3 \cdot 10^{-208}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.16 \cdot 10^{-195}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 7.6 \cdot 10^{-137}:\\ \;\;\;\;t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 9 \cdot 10^{+136}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 17
Accuracy68.7%
Cost2524
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := t_1 - c \cdot \left(z \cdot b\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right) + t_3\\ t_5 := c \cdot \left(a \cdot j\right)\\ t_6 := t_5 + t_2\\ \mathbf{if}\;y \leq -1.1 \cdot 10^{+128}:\\ \;\;\;\;\left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right) + \left(y \cdot \left(x \cdot z\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{+68}:\\ \;\;\;\;t_2 + a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq -260000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -4.6 \cdot 10^{-229}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -6.2 \cdot 10^{-304}:\\ \;\;\;\;t_5 + t_3\\ \mathbf{elif}\;y \leq 20000:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 3.5 \cdot 10^{+98}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+113}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \end{array} \]
Alternative 18
Accuracy72.3%
Cost2524
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(t_2 - z \cdot \left(b \cdot c\right)\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := t_4 + t \cdot \left(b \cdot i - x \cdot a\right)\\ t_6 := t_2 + t_1\\ t_7 := t_4 + t_6\\ \mathbf{if}\;t \leq -1.35 \cdot 10^{+175}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-125}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 4 \cdot 10^{-195}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{-130}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;t \leq 4.3 \cdot 10^{-19}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{+23}:\\ \;\;\;\;t_1 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+138}:\\ \;\;\;\;t_6 + a \cdot \left(c \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 19
Accuracy33.2%
Cost2420
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_2\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;y \leq -6.5 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-89}:\\ \;\;\;\;t_2 + z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-125}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.3 \cdot 10^{-138}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -5.2 \cdot 10^{-232}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-272}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-290}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-191}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-133}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-84}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 10500:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + y \cdot \left(x \cdot z\right)\\ \end{array} \]
Alternative 20
Accuracy33.2%
Cost2420
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_2\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;y \leq -9.2 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -5.4 \cdot 10^{-89}:\\ \;\;\;\;t_2 + z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{-126}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -6.4 \cdot 10^{-140}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -8 \cdot 10^{-230}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.08 \cdot 10^{-272}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-290}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6.1 \cdot 10^{-227}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.22 \cdot 10^{-188}:\\ \;\;\;\;a \cdot \left(c \cdot j\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 10500:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + y \cdot \left(x \cdot z\right)\\ \end{array} \]
Alternative 21
Accuracy39.1%
Cost2420
\[\begin{array}{l} t_1 := i \cdot \left(y \cdot j\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z\right) - t_1\\ t_5 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;y \leq -3 \cdot 10^{+36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-58}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.9 \cdot 10^{-89}:\\ \;\;\;\;t_2 + z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;y \leq -4.5 \cdot 10^{-230}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{-272}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq 5.7 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-291}:\\ \;\;\;\;t_5 + t_2\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{-224}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 10^{-188}:\\ \;\;\;\;a \cdot \left(c \cdot j\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y \leq 1.46 \cdot 10^{-142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.25 \cdot 10^{-88}:\\ \;\;\;\;t_5 - t_1\\ \mathbf{elif}\;y \leq 0.018:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{+70}:\\ \;\;\;\;t_2 - a \cdot \left(x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 22
Accuracy39.3%
Cost2420
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := i \cdot \left(t \cdot b\right)\\ t_4 := z \cdot \left(x \cdot y\right)\\ t_5 := t_4 - y \cdot \left(i \cdot j\right)\\ t_6 := t_3 - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;y \leq -2.85 \cdot 10^{+35}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -1.9 \cdot 10^{-55}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -4.5 \cdot 10^{-89}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;y \leq -2.2 \cdot 10^{-231}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-272}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq 3.7 \cdot 10^{-306}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 10^{-290}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;y \leq 1.12 \cdot 10^{-228}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.1 \cdot 10^{-190}:\\ \;\;\;\;a \cdot \left(c \cdot j\right) - t \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-89}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 6.5 \cdot 10^{-25}:\\ \;\;\;\;t_1 - x \cdot \left(t \cdot a\right)\\ \mathbf{elif}\;y \leq 7.5 \cdot 10^{+55}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 23
Accuracy67.6%
Cost2392
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := t_3 + t_2\\ t_5 := \left(j \cdot \left(a \cdot c\right) - j \cdot \left(y \cdot i\right)\right) + \left(y \cdot \left(x \cdot z\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{if}\;y \leq -7.8 \cdot 10^{+127}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -9.8 \cdot 10^{+68}:\\ \;\;\;\;t_2 + a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{+38}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -4.9 \cdot 10^{-229}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -5.2 \cdot 10^{-304}:\\ \;\;\;\;t_3 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+69}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(x \cdot y\right) - y \cdot \left(i \cdot j\right)\\ \end{array} \]
Alternative 24
Accuracy50.4%
Cost2280
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right) + a \cdot \left(c \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ t_4 := t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;z \leq -21000000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-104}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.28 \cdot 10^{-148}:\\ \;\;\;\;t_1 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq -1.02 \cdot 10^{-268}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{-288}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-180}:\\ \;\;\;\;t_1 + t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-88}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{-83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 10^{-18}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{+60}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 25
Accuracy49.8%
Cost2280
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + t_2\\ t_4 := t_2 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;z \leq -56000000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-104}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -5.8 \cdot 10^{-154}:\\ \;\;\;\;t_2 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-269}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-288}:\\ \;\;\;\;t_1 + a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-180}:\\ \;\;\;\;t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-83}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-18}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{+61}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{+104}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 26
Accuracy33.2%
Cost2156
\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_2\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;y \leq -1.05 \cdot 10^{-79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -2.3 \cdot 10^{-134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -2.5 \cdot 10^{-230}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-272}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 2.35 \cdot 10^{-290}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.55 \cdot 10^{-225}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-189}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{-142}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 8500:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + y \cdot \left(x \cdot z\right)\\ \end{array} \]
Alternative 27
Accuracy46.3%
Cost2148
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := t_2 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := t_1 - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;b \leq -2.55 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1.05 \cdot 10^{-204}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq -3.1 \cdot 10^{-251}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;b \leq -7.8 \cdot 10^{-306}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 2.3 \cdot 10^{-133}:\\ \;\;\;\;t_2 + t \cdot \left(b \cdot i - x \cdot a\right)\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{-91}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 10^{-66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 25000000000:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;b \leq 2.7 \cdot 10^{+69}:\\ \;\;\;\;i \cdot \left(j \cdot \left(-y\right)\right) - x \cdot \left(t \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 28
Accuracy32.0%
Cost1632
\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;z \leq -2 \cdot 10^{-54}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-171}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-284}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{-251}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.26 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-12}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.4 \cdot 10^{+62}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 29
Accuracy32.2%
Cost1500
\[\begin{array}{l} t_1 := a \cdot \left(c \cdot j - x \cdot t\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;z \leq -1.25 \cdot 10^{-56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-198}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{+61}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 30
Accuracy32.4%
Cost1500
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{if}\;z \leq -7 \cdot 10^{-57}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -6.8 \cdot 10^{-174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.5 \cdot 10^{-243}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;z \leq 7.2 \cdot 10^{-193}:\\ \;\;\;\;t_1 + a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{-79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 6.3 \cdot 10^{+60}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 31
Accuracy19.7%
Cost913
\[\begin{array}{l} t_1 := t \cdot \left(x \cdot \left(-a\right)\right)\\ \mathbf{if}\;x \leq -5.8 \cdot 10^{-29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-162} \lor \neg \left(x \leq 10^{+55}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \end{array} \]
Alternative 32
Accuracy19.8%
Cost912
\[\begin{array}{l} t_1 := a \cdot \left(x \cdot \left(-t\right)\right)\\ \mathbf{if}\;x \leq -9.5 \cdot 10^{-29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -7 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 10^{+55}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right)\\ \end{array} \]
Alternative 33
Accuracy33.2%
Cost841
\[\begin{array}{l} \mathbf{if}\;z \leq -1.3 \cdot 10^{-179} \lor \neg \left(z \leq 1.8 \cdot 10^{+61}\right):\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \end{array} \]
Alternative 34
Accuracy17.5%
Cost585
\[\begin{array}{l} \mathbf{if}\;c \leq -1.6 \cdot 10^{-43} \lor \neg \left(c \leq 2.5 \cdot 10^{-191}\right):\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \end{array} \]
Alternative 35
Accuracy17.2%
Cost584
\[\begin{array}{l} \mathbf{if}\;a \leq -1.15 \cdot 10^{+56}:\\ \;\;\;\;a \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{+230}:\\ \;\;\;\;j \cdot \left(a \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \end{array} \]
Alternative 36
Accuracy29.6%
Cost576
\[a \cdot \left(c \cdot j - x \cdot t\right) \]
Alternative 37
Accuracy16.3%
Cost320
\[a \cdot \left(c \cdot j\right) \]

Error

Reproduce?

herbie shell --seed 2023151 
(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)))))