Average Error: 0.0 → 0.5
Time: 11.4s
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 f(double x, double y, double z, double t, double a, double b) {
        double r49739 = x;
        double r49740 = y;
        double r49741 = 1.0;
        double r49742 = r49740 - r49741;
        double r49743 = z;
        double r49744 = r49742 * r49743;
        double r49745 = r49739 - r49744;
        double r49746 = t;
        double r49747 = r49746 - r49741;
        double r49748 = a;
        double r49749 = r49747 * r49748;
        double r49750 = r49745 - r49749;
        double r49751 = r49740 + r49746;
        double r49752 = 2.0;
        double r49753 = r49751 - r49752;
        double r49754 = b;
        double r49755 = r49753 * r49754;
        double r49756 = r49750 + r49755;
        return r49756;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r49757 = x;
        double r49758 = y;
        double r49759 = 1.0;
        double r49760 = r49758 - r49759;
        double r49761 = z;
        double r49762 = r49760 * r49761;
        double r49763 = r49757 - r49762;
        double r49764 = t;
        double r49765 = r49764 - r49759;
        double r49766 = a;
        double r49767 = r49765 * r49766;
        double r49768 = r49763 - r49767;
        double r49769 = r49758 + r49764;
        double r49770 = 2.0;
        double r49771 = r49769 - r49770;
        double r49772 = cbrt(r49771);
        double r49773 = r49772 * r49772;
        double r49774 = b;
        double r49775 = r49772 * r49774;
        double r49776 = r49773 * r49775;
        double r49777 = r49768 + r49776;
        return r49777;
}

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 2020027 
(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)))