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 r179240 = 1.0;
        double r179241 = x;
        double r179242 = y;
        double r179243 = z;
        double r179244 = r179242 - r179243;
        double r179245 = t;
        double r179246 = r179242 - r179245;
        double r179247 = r179244 * r179246;
        double r179248 = r179241 / r179247;
        double r179249 = r179240 - r179248;
        return r179249;
}
↓
double f(double x, double y, double z, double t) {
        double r179250 = 1.0;
        double r179251 = x;
        double r179252 = cbrt(r179251);
        double r179253 = y;
        double r179254 = z;
        double r179255 = r179253 - r179254;
        double r179256 = r179252 / r179255;
        double r179257 = r179256 * r179252;
        double r179258 = t;
        double r179259 = r179253 - r179258;
        double r179260 = r179252 / r179259;
        double r179261 = r179257 * r179260;
        double r179262 = r179250 - r179261;
        return r179262;
}

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)))))