Average Error: 0.0 → 0.2
Time: 19.1s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r41682 = x;
        double r41683 = y;
        double r41684 = 1.0;
        double r41685 = r41683 - r41684;
        double r41686 = z;
        double r41687 = r41685 * r41686;
        double r41688 = r41682 - r41687;
        double r41689 = t;
        double r41690 = r41689 - r41684;
        double r41691 = a;
        double r41692 = r41690 * r41691;
        double r41693 = r41688 - r41692;
        double r41694 = r41683 + r41689;
        double r41695 = 2.0;
        double r41696 = r41694 - r41695;
        double r41697 = b;
        double r41698 = r41696 * r41697;
        double r41699 = r41693 + r41698;
        return r41699;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r41700 = x;
        double r41701 = y;
        double r41702 = 1.0;
        double r41703 = r41701 - r41702;
        double r41704 = cbrt(r41703);
        double r41705 = r41704 * r41704;
        double r41706 = z;
        double r41707 = r41704 * r41706;
        double r41708 = r41705 * r41707;
        double r41709 = r41700 - r41708;
        double r41710 = t;
        double r41711 = r41710 - r41702;
        double r41712 = a;
        double r41713 = r41711 * r41712;
        double r41714 = r41709 - r41713;
        double r41715 = r41701 + r41710;
        double r41716 = 2.0;
        double r41717 = r41715 - r41716;
        double r41718 = b;
        double r41719 = r41717 * r41718;
        double r41720 = r41714 + r41719;
        return r41720;
}

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-cbrt0.2

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

  4. Applied associate-*l*0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019326 
(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)))