Average Error: 0.0 → 0.0
Time: 15.1s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[\left(y - z\right) \cdot \left(-x\right) + \left(\left(y - z\right) \cdot t + x\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
\left(y - z\right) \cdot \left(-x\right) + \left(\left(y - z\right) \cdot t + x\right)
double f(double x, double y, double z, double t) {
        double r43234910 = x;
        double r43234911 = y;
        double r43234912 = z;
        double r43234913 = r43234911 - r43234912;
        double r43234914 = t;
        double r43234915 = r43234914 - r43234910;
        double r43234916 = r43234913 * r43234915;
        double r43234917 = r43234910 + r43234916;
        return r43234917;
}
↓
double f(double x, double y, double z, double t) {
        double r43234918 = y;
        double r43234919 = z;
        double r43234920 = r43234918 - r43234919;
        double r43234921 = x;
        double r43234922 = -r43234921;
        double r43234923 = r43234920 * r43234922;
        double r43234924 = t;
        double r43234925 = r43234920 * r43234924;
        double r43234926 = r43234925 + r43234921;
        double r43234927 = r43234923 + r43234926;
        return r43234927;
}

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. Applied associate-+r+0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 
(FPCore (x y z t)
  :name "Data.Metrics.Snapshot:quantile from metrics-0.3.0.2"

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

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