Average Error: 0.0 → 0.0
Time: 3.6s
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 r977902 = x;
        double r977903 = y;
        double r977904 = z;
        double r977905 = r977903 - r977904;
        double r977906 = t;
        double r977907 = r977906 - r977902;
        double r977908 = r977905 * r977907;
        double r977909 = r977902 + r977908;
        return r977909;
}
↓
double f(double x, double y, double z, double t) {
        double r977910 = x;
        double r977911 = y;
        double r977912 = z;
        double r977913 = r977911 - r977912;
        double r977914 = t;
        double r977915 = r977913 * r977914;
        double r977916 = -r977910;
        double r977917 = r977913 * r977916;
        double r977918 = r977915 + r977917;
        double r977919 = r977910 + r977918;
        return r977919;
}

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 2019362 
(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))))