Average Error: 0.7 → 0.7
Time: 3.8s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{\sqrt[3]{x} \cdot \sqrt[3]{x}}{y - z} \cdot \frac{\sqrt[3]{x}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{\sqrt[3]{x} \cdot \sqrt[3]{x}}{y - z} \cdot \frac{\sqrt[3]{x}}{y - t}
double f(double x, double y, double z, double t) {
        double r251599 = 1.0;
        double r251600 = x;
        double r251601 = y;
        double r251602 = z;
        double r251603 = r251601 - r251602;
        double r251604 = t;
        double r251605 = r251601 - r251604;
        double r251606 = r251603 * r251605;
        double r251607 = r251600 / r251606;
        double r251608 = r251599 - r251607;
        return r251608;
}
↓
double f(double x, double y, double z, double t) {
        double r251609 = 1.0;
        double r251610 = x;
        double r251611 = cbrt(r251610);
        double r251612 = r251611 * r251611;
        double r251613 = y;
        double r251614 = z;
        double r251615 = r251613 - r251614;
        double r251616 = r251612 / r251615;
        double r251617 = t;
        double r251618 = r251613 - r251617;
        double r251619 = r251611 / r251618;
        double r251620 = r251616 * r251619;
        double r251621 = r251609 - r251620;
        return r251621;
}

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 add-cube-cbrt0.9

    \[\leadsto 1 - \frac{\color{blue}{\left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \sqrt[3]{x}}}{\left(y - z\right) \cdot \left(y - t\right)}\]

  4. Applied times-frac0.7

    \[\leadsto 1 - \color{blue}{\frac{\sqrt[3]{x} \cdot \sqrt[3]{x}}{y - z} \cdot \frac{\sqrt[3]{x}}{y - t}}\]

  5. Final simplification0.7

    \[\leadsto 1 - \frac{\sqrt[3]{x} \cdot \sqrt[3]{x}}{y - z} \cdot \frac{\sqrt[3]{x}}{y - t}\]

Reproduce

herbie shell --seed 2020100 
(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)))))