Average Error: 0.5 → 0.7
Time: 15.8s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \left(\frac{\sqrt[3]{x}}{y - z} \cdot \sqrt[3]{x}\right) \cdot \frac{\sqrt[3]{x}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \left(\frac{\sqrt[3]{x}}{y - z} \cdot \sqrt[3]{x}\right) \cdot \frac{\sqrt[3]{x}}{y - t}
double f(double x, double y, double z, double t) {
        double r190817 = 1.0;
        double r190818 = x;
        double r190819 = y;
        double r190820 = z;
        double r190821 = r190819 - r190820;
        double r190822 = t;
        double r190823 = r190819 - r190822;
        double r190824 = r190821 * r190823;
        double r190825 = r190818 / r190824;
        double r190826 = r190817 - r190825;
        return r190826;
}
↓
double f(double x, double y, double z, double t) {
        double r190827 = 1.0;
        double r190828 = x;
        double r190829 = cbrt(r190828);
        double r190830 = y;
        double r190831 = z;
        double r190832 = r190830 - r190831;
        double r190833 = r190829 / r190832;
        double r190834 = r190833 * r190829;
        double r190835 = t;
        double r190836 = r190830 - r190835;
        double r190837 = r190829 / r190836;
        double r190838 = r190834 * r190837;
        double r190839 = r190827 - r190838;
        return r190839;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

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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 add-cube-cbrt0.7

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

  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. Simplified0.7

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

  6. Final simplification0.7

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

Reproduce

herbie shell --seed 2019194 
(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)))))