Average Error: 0.5 → 0.5
Time: 16.3s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}
double f(double x, double y, double z, double t) {
        double r156948 = 1.0;
        double r156949 = x;
        double r156950 = y;
        double r156951 = z;
        double r156952 = r156950 - r156951;
        double r156953 = t;
        double r156954 = r156950 - r156953;
        double r156955 = r156952 * r156954;
        double r156956 = r156949 / r156955;
        double r156957 = r156948 - r156956;
        return r156957;
}
↓
double f(double x, double y, double z, double t) {
        double r156958 = 1.0;
        double r156959 = 1.0;
        double r156960 = y;
        double r156961 = z;
        double r156962 = r156960 - r156961;
        double r156963 = t;
        double r156964 = r156960 - r156963;
        double r156965 = r156962 * r156964;
        double r156966 = x;
        double r156967 = r156965 / r156966;
        double r156968 = r156959 / r156967;
        double r156969 = r156958 - r156968;
        return r156969;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]

  2. Simplified0.5

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

  4. Applied clear-num0.5

    \[\leadsto 1 - \color{blue}{\frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}}\]

  5. Final simplification0.5

    \[\leadsto 1 - \frac{1}{\frac{\left(y - z\right) \cdot \left(y - t\right)}{x}}\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  (- 1.0 (/ x (* (- y z) (- y t)))))