Average Error: 0.7 → 0.8
Time: 20.9s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - x \cdot \frac{\frac{1}{y - z}}{y - t}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - x \cdot \frac{\frac{1}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r9234725 = 1.0;
        double r9234726 = x;
        double r9234727 = y;
        double r9234728 = z;
        double r9234729 = r9234727 - r9234728;
        double r9234730 = t;
        double r9234731 = r9234727 - r9234730;
        double r9234732 = r9234729 * r9234731;
        double r9234733 = r9234726 / r9234732;
        double r9234734 = r9234725 - r9234733;
        return r9234734;
}
↓
double f(double x, double y, double z, double t) {
        double r9234735 = 1.0;
        double r9234736 = x;
        double r9234737 = 1.0;
        double r9234738 = y;
        double r9234739 = z;
        double r9234740 = r9234738 - r9234739;
        double r9234741 = r9234737 / r9234740;
        double r9234742 = t;
        double r9234743 = r9234738 - r9234742;
        double r9234744 = r9234741 / r9234743;
        double r9234745 = r9234736 * r9234744;
        double r9234746 = r9234735 - r9234745;
        return r9234746;
}

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 clear-num0.7

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

  5. Applied div-inv0.7

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

  6. Applied add-cube-cbrt0.7

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

  7. Applied times-frac0.8

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

  8. Simplified0.8

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

  9. Simplified0.8

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

  10. Final simplification0.8

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

Reproduce

herbie shell --seed 2019192 +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)))))