Average Error: 0.7 → 0.8
Time: 14.9s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - x \cdot \frac{1}{\left(y - z\right) \cdot \left(y - t\right)}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - x \cdot \frac{1}{\left(y - z\right) \cdot \left(y - t\right)}
double f(double x, double y, double z, double t) {
        double r19352579 = 1.0;
        double r19352580 = x;
        double r19352581 = y;
        double r19352582 = z;
        double r19352583 = r19352581 - r19352582;
        double r19352584 = t;
        double r19352585 = r19352581 - r19352584;
        double r19352586 = r19352583 * r19352585;
        double r19352587 = r19352580 / r19352586;
        double r19352588 = r19352579 - r19352587;
        return r19352588;
}
↓
double f(double x, double y, double z, double t) {
        double r19352589 = 1.0;
        double r19352590 = x;
        double r19352591 = 1.0;
        double r19352592 = y;
        double r19352593 = z;
        double r19352594 = r19352592 - r19352593;
        double r19352595 = t;
        double r19352596 = r19352592 - r19352595;
        double r19352597 = r19352594 * r19352596;
        double r19352598 = r19352591 / r19352597;
        double r19352599 = r19352590 * r19352598;
        double r19352600 = r19352589 - r19352599;
        return r19352600;
}

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 div-inv0.8

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

  4. Final simplification0.8

    \[\leadsto 1 - x \cdot \frac{1}{\left(y - z\right) \cdot \left(y - t\right)}\]

Reproduce

herbie shell --seed 2019174 
(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)))))