Average Error: 0.0 → 0.0
Time: 2.6s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[\left(x + y \cdot \left(t - x\right)\right) + \left(-z\right) \cdot \left(t - x\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
\left(x + y \cdot \left(t - x\right)\right) + \left(-z\right) \cdot \left(t - x\right)
double f(double x, double y, double z, double t) {
        double r771925 = x;
        double r771926 = y;
        double r771927 = z;
        double r771928 = r771926 - r771927;
        double r771929 = t;
        double r771930 = r771929 - r771925;
        double r771931 = r771928 * r771930;
        double r771932 = r771925 + r771931;
        return r771932;
}
↓
double f(double x, double y, double z, double t) {
        double r771933 = x;
        double r771934 = y;
        double r771935 = t;
        double r771936 = r771935 - r771933;
        double r771937 = r771934 * r771936;
        double r771938 = r771933 + r771937;
        double r771939 = z;
        double r771940 = -r771939;
        double r771941 = r771940 * r771936;
        double r771942 = r771938 + r771941;
        return r771942;
}

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 *-commutative0.0

    \[\leadsto x + \color{blue}{\left(t - x\right) \cdot \left(y - z\right)}\]
  4. Using strategy rm

  5. Applied sub-neg0.0

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

  6. Applied distribute-rgt-in0.0

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

  7. Applied associate-+r+0.0

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

  8. Final simplification0.0

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

Reproduce

herbie shell --seed 2020039 
(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))))