Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[x + \left(\left(y - z\right) \cdot t + \left(y - z\right) \cdot \left(-x\right)\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
x + \left(\left(y - z\right) \cdot t + \left(y - z\right) \cdot \left(-x\right)\right)
double f(double x, double y, double z, double t) {
        double r809328 = x;
        double r809329 = y;
        double r809330 = z;
        double r809331 = r809329 - r809330;
        double r809332 = t;
        double r809333 = r809332 - r809328;
        double r809334 = r809331 * r809333;
        double r809335 = r809328 + r809334;
        return r809335;
}
↓
double f(double x, double y, double z, double t) {
        double r809336 = x;
        double r809337 = y;
        double r809338 = z;
        double r809339 = r809337 - r809338;
        double r809340 = t;
        double r809341 = r809339 * r809340;
        double r809342 = -r809336;
        double r809343 = r809339 * r809342;
        double r809344 = r809341 + r809343;
        double r809345 = r809336 + r809344;
        return r809345;
}

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

Target

Original0.0
Target0.0
Herbie0.0
\[x + \left(t \cdot \left(y - z\right) + \left(-x\right) \cdot \left(y - z\right)\right)\]

Derivation

  1. Initial program 0.0

    \[x + \left(y - z\right) \cdot \left(t - x\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

    \[\leadsto x + \left(\left(y - z\right) \cdot t + \left(y - z\right) \cdot \left(-x\right)\right)\]

Reproduce

herbie shell --seed 2019353 
(FPCore (x y z t)
  :name "Data.Metrics.Snapshot:quantile from metrics-0.3.0.2"
  :precision binary64

  :herbie-target
  (+ x (+ (* t (- y z)) (* (- x) (- y z))))

  (+ x (* (- y z) (- t x))))