Average Error: 0.0 → 0.2
Time: 18.0s
Precision: 64
\[\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(t - 1.0\right) \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(a \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right)\right) + b \cdot \left(\left(t + y\right) - 2.0\right)\]
\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(t - 1.0\right) \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b
↓
\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(a \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right)\right) + b \cdot \left(\left(t + y\right) - 2.0\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r1875723 = x;
        double r1875724 = y;
        double r1875725 = 1.0;
        double r1875726 = r1875724 - r1875725;
        double r1875727 = z;
        double r1875728 = r1875726 * r1875727;
        double r1875729 = r1875723 - r1875728;
        double r1875730 = t;
        double r1875731 = r1875730 - r1875725;
        double r1875732 = a;
        double r1875733 = r1875731 * r1875732;
        double r1875734 = r1875729 - r1875733;
        double r1875735 = r1875724 + r1875730;
        double r1875736 = 2.0;
        double r1875737 = r1875735 - r1875736;
        double r1875738 = b;
        double r1875739 = r1875737 * r1875738;
        double r1875740 = r1875734 + r1875739;
        return r1875740;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r1875741 = x;
        double r1875742 = y;
        double r1875743 = 1.0;
        double r1875744 = r1875742 - r1875743;
        double r1875745 = z;
        double r1875746 = r1875744 * r1875745;
        double r1875747 = r1875741 - r1875746;
        double r1875748 = a;
        double r1875749 = t;
        double r1875750 = r1875749 - r1875743;
        double r1875751 = cbrt(r1875750);
        double r1875752 = r1875748 * r1875751;
        double r1875753 = r1875751 * r1875751;
        double r1875754 = r1875752 * r1875753;
        double r1875755 = r1875747 - r1875754;
        double r1875756 = b;
        double r1875757 = r1875749 + r1875742;
        double r1875758 = 2.0;
        double r1875759 = r1875757 - r1875758;
        double r1875760 = r1875756 * r1875759;
        double r1875761 = r1875755 + r1875760;
        return r1875761;
}

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

    \[\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(t - 1.0\right) \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.2

    \[\leadsto \left(\left(x - \left(y - 1.0\right) \cdot z\right) - \color{blue}{\left(\left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \sqrt[3]{t - 1.0}\right)} \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]

  4. Applied associate-*l*0.2

    \[\leadsto \left(\left(x - \left(y - 1.0\right) \cdot z\right) - \color{blue}{\left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot a\right)}\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]

  5. Final simplification0.2

    \[\leadsto \left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(a \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right)\right) + b \cdot \left(\left(t + y\right) - 2.0\right)\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))