Average Error: 0.7 → 1.1
Time: 22.4s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{\frac{x}{y - z}}{y - t}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r13586378 = 1.0;
        double r13586379 = x;
        double r13586380 = y;
        double r13586381 = z;
        double r13586382 = r13586380 - r13586381;
        double r13586383 = t;
        double r13586384 = r13586380 - r13586383;
        double r13586385 = r13586382 * r13586384;
        double r13586386 = r13586379 / r13586385;
        double r13586387 = r13586378 - r13586386;
        return r13586387;
}
↓
double f(double x, double y, double z, double t) {
        double r13586388 = 1.0;
        double r13586389 = x;
        double r13586390 = y;
        double r13586391 = z;
        double r13586392 = r13586390 - r13586391;
        double r13586393 = r13586389 / r13586392;
        double r13586394 = t;
        double r13586395 = r13586390 - r13586394;
        double r13586396 = r13586393 / r13586395;
        double r13586397 = r13586388 - r13586396;
        return r13586397;
}

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

    \[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied associate-/r*1.1

    \[\leadsto 1.0 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]

  4. Final simplification1.1

    \[\leadsto 1.0 - \frac{\frac{x}{y - z}}{y - t}\]

Reproduce

herbie shell --seed 2019163 +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)))))