Average Error: 0.0 → 0.4
Time: 6.6s
Precision: binary64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x + z \cdot \left(1 - y\right)\right) + a \cdot \left(1 - t\right)\right) + \left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \left(b \cdot \sqrt[3]{y + \left(t - 2\right)}\right)\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x + z \cdot \left(1 - y\right)\right) + a \cdot \left(1 - t\right)\right) + \left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \left(b \cdot \sqrt[3]{y + \left(t - 2\right)}\right)
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (x - ((double) (((double) (y - 1.0)) * z)))) - ((double) (((double) (t - 1.0)) * a)))) + ((double) (((double) (((double) (y + t)) - 2.0)) * b))));
}
↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (x + ((double) (z * ((double) (1.0 - y)))))) + ((double) (a * ((double) (1.0 - t)))))) + ((double) (((double) (((double) cbrt(((double) (((double) (y + t)) - 2.0)))) * ((double) cbrt(((double) (((double) (y + t)) - 2.0)))))) * ((double) (b * ((double) cbrt(((double) (y + ((double) (t - 2.0))))))))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program Error: 0.0 bits

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrtError: 0.4 bits

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \color{blue}{\left(\left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \sqrt[3]{\left(y + t\right) - 2}\right)} \cdot b\]

  4. Applied associate-*l*Error: 0.4 bits

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \color{blue}{\left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \left(\sqrt[3]{\left(y + t\right) - 2} \cdot b\right)}\]

  5. SimplifiedError: 0.4 bits

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \color{blue}{\left(b \cdot \sqrt[3]{y + \left(t - 2\right)}\right)}\]

  6. Final simplificationError: 0.4 bits

    \[\leadsto \left(\left(x + z \cdot \left(1 - y\right)\right) + a \cdot \left(1 - t\right)\right) + \left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \left(b \cdot \sqrt[3]{y + \left(t - 2\right)}\right)\]

Reproduce

herbie shell --seed 2020200 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))