Average Error: 0.6 → 1.1
Time: 15.4s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{x}{y - z} \cdot \frac{1}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{x}{y - z} \cdot \frac{1}{y - t}
double f(double x, double y, double z, double t) {
        double r197130 = 1.0;
        double r197131 = x;
        double r197132 = y;
        double r197133 = z;
        double r197134 = r197132 - r197133;
        double r197135 = t;
        double r197136 = r197132 - r197135;
        double r197137 = r197134 * r197136;
        double r197138 = r197131 / r197137;
        double r197139 = r197130 - r197138;
        return r197139;
}
↓
double f(double x, double y, double z, double t) {
        double r197140 = 1.0;
        double r197141 = x;
        double r197142 = y;
        double r197143 = z;
        double r197144 = r197142 - r197143;
        double r197145 = r197141 / r197144;
        double r197146 = 1.0;
        double r197147 = t;
        double r197148 = r197142 - r197147;
        double r197149 = r197146 / r197148;
        double r197150 = r197145 * r197149;
        double r197151 = r197140 - r197150;
        return r197151;
}

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*1.0

    \[\leadsto 1 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]
  4. Using strategy rm

  5. Applied div-inv1.1

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

  6. Final simplification1.1

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

Reproduce

herbie shell --seed 2019303 
(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)))))