Average Error: 0.7 → 0.7
Time: 15.8s
Precision: 64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{\left(y - t\right) \cdot \left(y - z\right)}{x}}
double f(double x, double y, double z, double t) {
        double r12727392 = 1.0;
        double r12727393 = x;
        double r12727394 = y;
        double r12727395 = z;
        double r12727396 = r12727394 - r12727395;
        double r12727397 = t;
        double r12727398 = r12727394 - r12727397;
        double r12727399 = r12727396 * r12727398;
        double r12727400 = r12727393 / r12727399;
        double r12727401 = r12727392 - r12727400;
        return r12727401;
}
↓
double f(double x, double y, double z, double t) {
        double r12727402 = 1.0;
        double r12727403 = 1.0;
        double r12727404 = y;
        double r12727405 = t;
        double r12727406 = r12727404 - r12727405;
        double r12727407 = z;
        double r12727408 = r12727404 - r12727407;
        double r12727409 = r12727406 * r12727408;
        double r12727410 = x;
        double r12727411 = r12727409 / r12727410;
        double r12727412 = r12727403 / r12727411;
        double r12727413 = r12727402 - r12727412;
        return r12727413;
}

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 *-un-lft-identity0.7

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

  6. Final simplification0.7

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

Reproduce

herbie shell --seed 2019192 
(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)))))