Average Error: 0.8 → 1.0
Time: 54.3s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{y - t}{x}} \cdot \frac{1}{y - z}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{y - t}{x}} \cdot \frac{1}{y - z}
double f(double x, double y, double z, double t) {
        double r12421440 = 1.0;
        double r12421441 = x;
        double r12421442 = y;
        double r12421443 = z;
        double r12421444 = r12421442 - r12421443;
        double r12421445 = t;
        double r12421446 = r12421442 - r12421445;
        double r12421447 = r12421444 * r12421446;
        double r12421448 = r12421441 / r12421447;
        double r12421449 = r12421440 - r12421448;
        return r12421449;
}
↓
double f(double x, double y, double z, double t) {
        double r12421450 = 1.0;
        double r12421451 = 1.0;
        double r12421452 = y;
        double r12421453 = t;
        double r12421454 = r12421452 - r12421453;
        double r12421455 = x;
        double r12421456 = r12421454 / r12421455;
        double r12421457 = r12421451 / r12421456;
        double r12421458 = z;
        double r12421459 = r12421452 - r12421458;
        double r12421460 = r12421451 / r12421459;
        double r12421461 = r12421457 * r12421460;
        double r12421462 = r12421450 - r12421461;
        return r12421462;
}

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 0.8

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

  3. Applied *-un-lft-identity0.8

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

  4. Applied times-frac1.0

    \[\leadsto 1 - \color{blue}{\frac{1}{y - z} \cdot \frac{x}{y - t}}\]
  5. Using strategy rm

  6. Applied clear-num1.0

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

  7. Final simplification1.0

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

Reproduce

herbie shell --seed 2019200 
(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)))))