Average Error: 0.6 → 1.2
Time: 5.8s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{\frac{x}{y - z}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r1024 = 1.0;
        double r1025 = x;
        double r1026 = y;
        double r1027 = z;
        double r1028 = r1026 - r1027;
        double r1029 = t;
        double r1030 = r1026 - r1029;
        double r1031 = r1028 * r1030;
        double r1032 = r1025 / r1031;
        double r1033 = r1024 - r1032;
        return r1033;
}
↓
double f(double x, double y, double z, double t) {
        double r1034 = 1.0;
        double r1035 = x;
        double r1036 = y;
        double r1037 = z;
        double r1038 = r1036 - r1037;
        double r1039 = r1035 / r1038;
        double r1040 = t;
        double r1041 = r1036 - r1040;
        double r1042 = r1039 / r1041;
        double r1043 = r1034 - r1042;
        return r1043;
}

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 0.6

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

  3. Applied associate-/r*1.2

    \[\leadsto 1 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]

  4. Final simplification1.2

    \[\leadsto 1 - \frac{\frac{x}{y - z}}{y - t}\]

Reproduce

herbie shell --seed 2020025 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  :precision binary64
  (- 1 (/ x (* (- y z) (- y t)))))