Average Error: 0.0 → 0.5
Time: 9.5s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\sqrt[3]{\left(y + t\right) - 2} \cdot \sqrt[3]{\left(y + t\right) - 2}\right) \cdot \left(\sqrt[3]{\left(y + t\right) - 2} \cdot b\right)\]
\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 - \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 \left(\sqrt[3]{\left(y + t\right) - 2} \cdot b\right)
double code(double x, double y, double z, double t, double a, double b) {
	return (((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b));
}
↓
double code(double x, double y, double z, double t, double a, double b) {
	return (((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + ((cbrt(((y + t) - 2.0)) * cbrt(((y + t) - 2.0))) * (cbrt(((y + t) - 2.0)) * b)));
}

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 0.0

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

  3. Applied add-cube-cbrt0.4

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

  4. Applied associate-*l*0.5

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

  5. Final simplification0.5

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

Reproduce

herbie shell --seed 2020078 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))