Average Error: 0.6 → 1.2
Time: 23.3s
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 r8070418 = 1.0;
        double r8070419 = x;
        double r8070420 = y;
        double r8070421 = z;
        double r8070422 = r8070420 - r8070421;
        double r8070423 = t;
        double r8070424 = r8070420 - r8070423;
        double r8070425 = r8070422 * r8070424;
        double r8070426 = r8070419 / r8070425;
        double r8070427 = r8070418 - r8070426;
        return r8070427;
}
↓
double f(double x, double y, double z, double t) {
        double r8070428 = 1.0;
        double r8070429 = x;
        double r8070430 = y;
        double r8070431 = z;
        double r8070432 = r8070430 - r8070431;
        double r8070433 = r8070429 / r8070432;
        double r8070434 = t;
        double r8070435 = r8070430 - r8070434;
        double r8070436 = r8070433 / r8070435;
        double r8070437 = r8070428 - r8070436;
        return r8070437;
}

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 2019172 +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)))))