Average Error: 0.7 → 1.1
Time: 21.3s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{\frac{x}{y - z}}{y - t}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{\frac{x}{y - z}}{y - t}
double f(double x, double y, double z, double t) {
        double r13761222 = 1.0;
        double r13761223 = x;
        double r13761224 = y;
        double r13761225 = z;
        double r13761226 = r13761224 - r13761225;
        double r13761227 = t;
        double r13761228 = r13761224 - r13761227;
        double r13761229 = r13761226 * r13761228;
        double r13761230 = r13761223 / r13761229;
        double r13761231 = r13761222 - r13761230;
        return r13761231;
}
↓
double f(double x, double y, double z, double t) {
        double r13761232 = 1.0;
        double r13761233 = x;
        double r13761234 = y;
        double r13761235 = z;
        double r13761236 = r13761234 - r13761235;
        double r13761237 = r13761233 / r13761236;
        double r13761238 = t;
        double r13761239 = r13761234 - r13761238;
        double r13761240 = r13761237 / r13761239;
        double r13761241 = r13761232 - r13761240;
        return r13761241;
}

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

    \[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied associate-/r*1.1

    \[\leadsto 1.0 - \color{blue}{\frac{\frac{x}{y - z}}{y - t}}\]

  4. Final simplification1.1

    \[\leadsto 1.0 - \frac{\frac{x}{y - z}}{y - t}\]

Reproduce

herbie shell --seed 2019163 +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)))))