Average Error: 0.0 → 0.2
Time: 15.4s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\left(\left(\sqrt[3]{\sqrt[3]{t - 1}} \cdot \sqrt[3]{\sqrt[3]{t - 1}}\right) \cdot \sqrt[3]{\sqrt[3]{t - 1}}\right) \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\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(\left(\sqrt[3]{\sqrt[3]{t - 1}} \cdot \sqrt[3]{\sqrt[3]{t - 1}}\right) \cdot \sqrt[3]{\sqrt[3]{t - 1}}\right) \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\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 r43787 = x;
        double r43788 = y;
        double r43789 = 1.0;
        double r43790 = r43788 - r43789;
        double r43791 = z;
        double r43792 = r43790 * r43791;
        double r43793 = r43787 - r43792;
        double r43794 = t;
        double r43795 = r43794 - r43789;
        double r43796 = a;
        double r43797 = r43795 * r43796;
        double r43798 = r43793 - r43797;
        double r43799 = r43788 + r43794;
        double r43800 = 2.0;
        double r43801 = r43799 - r43800;
        double r43802 = b;
        double r43803 = r43801 * r43802;
        double r43804 = r43798 + r43803;
        return r43804;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r43805 = x;
        double r43806 = y;
        double r43807 = 1.0;
        double r43808 = r43806 - r43807;
        double r43809 = z;
        double r43810 = r43808 * r43809;
        double r43811 = r43805 - r43810;
        double r43812 = t;
        double r43813 = r43812 - r43807;
        double r43814 = cbrt(r43813);
        double r43815 = cbrt(r43814);
        double r43816 = r43815 * r43815;
        double r43817 = r43816 * r43815;
        double r43818 = r43817 * r43814;
        double r43819 = a;
        double r43820 = r43814 * r43819;
        double r43821 = r43818 * r43820;
        double r43822 = r43811 - r43821;
        double r43823 = r43806 + r43812;
        double r43824 = 2.0;
        double r43825 = r43823 - r43824;
        double r43826 = b;
        double r43827 = r43825 * r43826;
        double r43828 = r43822 + r43827;
        return r43828;
}

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

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

  4. Applied associate-*l*0.2

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

  6. Applied add-cube-cbrt0.2

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

  7. Final simplification0.2

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

Reproduce

herbie shell --seed 2019350 
(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)))