Average Error: 0.6 → 0.6
Time: 2.9s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
double f(double x, double y, double z, double t) {
        double r211947 = 1.0;
        double r211948 = x;
        double r211949 = y;
        double r211950 = z;
        double r211951 = r211949 - r211950;
        double r211952 = t;
        double r211953 = r211949 - r211952;
        double r211954 = r211951 * r211953;
        double r211955 = r211948 / r211954;
        double r211956 = r211947 - r211955;
        return r211956;
}
↓
double f(double x, double y, double z, double t) {
        double r211957 = 1.0;
        double r211958 = x;
        double r211959 = y;
        double r211960 = z;
        double r211961 = r211959 - r211960;
        double r211962 = t;
        double r211963 = r211959 - r211962;
        double r211964 = r211961 * r211963;
        double r211965 = r211958 / r211964;
        double r211966 = r211957 - r211965;
        return r211966;
}

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 div-inv0.6

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

  5. Applied add-cube-cbrt0.6

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

  6. Applied times-frac0.7

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

  7. Simplified0.7

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

  8. Simplified0.7

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

  10. Applied frac-times0.6

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

  11. Applied associate-*r/0.6

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

  12. Simplified0.6

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

  13. Final simplification0.6

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

Reproduce

herbie shell --seed 2020034 
(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)))))