Average Error: 0.5 → 1.0
Time: 12.9s
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 r129333 = 1.0;
        double r129334 = x;
        double r129335 = y;
        double r129336 = z;
        double r129337 = r129335 - r129336;
        double r129338 = t;
        double r129339 = r129335 - r129338;
        double r129340 = r129337 * r129339;
        double r129341 = r129334 / r129340;
        double r129342 = r129333 - r129341;
        return r129342;
}
↓
double f(double x, double y, double z, double t) {
        double r129343 = 1.0;
        double r129344 = x;
        double r129345 = y;
        double r129346 = z;
        double r129347 = r129345 - r129346;
        double r129348 = r129344 / r129347;
        double r129349 = t;
        double r129350 = r129345 - r129349;
        double r129351 = r129348 / r129350;
        double r129352 = r129343 - r129351;
        return r129352;
}

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. 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 2019322 +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)))))