Average Error: 0.7 → 1.0
Time: 14.9s
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 r143344 = 1.0;
        double r143345 = x;
        double r143346 = y;
        double r143347 = z;
        double r143348 = r143346 - r143347;
        double r143349 = t;
        double r143350 = r143346 - r143349;
        double r143351 = r143348 * r143350;
        double r143352 = r143345 / r143351;
        double r143353 = r143344 - r143352;
        return r143353;
}
↓
double f(double x, double y, double z, double t) {
        double r143354 = 1.0;
        double r143355 = x;
        double r143356 = y;
        double r143357 = z;
        double r143358 = r143356 - r143357;
        double r143359 = r143355 / r143358;
        double r143360 = t;
        double r143361 = r143356 - r143360;
        double r143362 = r143359 / r143361;
        double r143363 = r143354 - r143362;
        return r143363;
}

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 0.7

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

  3. Applied associate-/r*1.0

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

  4. Final simplification1.0

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

Reproduce

herbie shell --seed 2019326 +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)))))