Average Error: 0.0 → 0.4
Time: 4.8s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\left(t - 1\right) \cdot \left(\sqrt[3]{a} \cdot \sqrt[3]{a}\right)\right) \cdot \sqrt[3]{a}\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\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(y - 1\right) \cdot z\right) - \left(\left(t - 1\right) \cdot \left(\sqrt[3]{a} \cdot \sqrt[3]{a}\right)\right) \cdot \sqrt[3]{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 r35042 = x;
        double r35043 = y;
        double r35044 = 1.0;
        double r35045 = r35043 - r35044;
        double r35046 = z;
        double r35047 = r35045 * r35046;
        double r35048 = r35042 - r35047;
        double r35049 = t;
        double r35050 = r35049 - r35044;
        double r35051 = a;
        double r35052 = r35050 * r35051;
        double r35053 = r35048 - r35052;
        double r35054 = r35043 + r35049;
        double r35055 = 2.0;
        double r35056 = r35054 - r35055;
        double r35057 = b;
        double r35058 = r35056 * r35057;
        double r35059 = r35053 + r35058;
        return r35059;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r35060 = x;
        double r35061 = y;
        double r35062 = 1.0;
        double r35063 = r35061 - r35062;
        double r35064 = z;
        double r35065 = r35063 * r35064;
        double r35066 = r35060 - r35065;
        double r35067 = t;
        double r35068 = r35067 - r35062;
        double r35069 = a;
        double r35070 = cbrt(r35069);
        double r35071 = r35070 * r35070;
        double r35072 = r35068 * r35071;
        double r35073 = r35072 * r35070;
        double r35074 = r35066 - r35073;
        double r35075 = r35061 + r35067;
        double r35076 = 2.0;
        double r35077 = r35075 - r35076;
        double r35078 = b;
        double r35079 = r35077 * r35078;
        double r35080 = r35074 + r35079;
        return r35080;
}

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

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

  4. Applied associate-*r*0.4

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

  5. Final simplification0.4

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

Reproduce

herbie shell --seed 2020039 
(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)))