Average Error: 0.0 → 0.0
Time: 32.0s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(b \cdot t + \left(y - 2\right) \cdot b\right) + \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right)\]
\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(b \cdot t + \left(y - 2\right) \cdot b\right) + \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r50839 = x;
        double r50840 = y;
        double r50841 = 1.0;
        double r50842 = r50840 - r50841;
        double r50843 = z;
        double r50844 = r50842 * r50843;
        double r50845 = r50839 - r50844;
        double r50846 = t;
        double r50847 = r50846 - r50841;
        double r50848 = a;
        double r50849 = r50847 * r50848;
        double r50850 = r50845 - r50849;
        double r50851 = r50840 + r50846;
        double r50852 = 2.0;
        double r50853 = r50851 - r50852;
        double r50854 = b;
        double r50855 = r50853 * r50854;
        double r50856 = r50850 + r50855;
        return r50856;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r50857 = b;
        double r50858 = t;
        double r50859 = r50857 * r50858;
        double r50860 = y;
        double r50861 = 2.0;
        double r50862 = r50860 - r50861;
        double r50863 = r50862 * r50857;
        double r50864 = r50859 + r50863;
        double r50865 = x;
        double r50866 = 1.0;
        double r50867 = r50860 - r50866;
        double r50868 = z;
        double r50869 = r50867 * r50868;
        double r50870 = r50865 - r50869;
        double r50871 = r50858 - r50866;
        double r50872 = a;
        double r50873 = r50871 * r50872;
        double r50874 = r50870 - r50873;
        double r50875 = r50864 + r50874;
        return r50875;
}

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. Simplified0.0

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

  4. Applied associate--l+0.0

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

  5. Applied distribute-lft-in0.0

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(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)))