Average Error: 0.0 → 0.0
Time: 3.3s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[\left(x + t \cdot \left(y - z\right)\right) + \left(-x\right) \cdot \left(y - z\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
\left(x + t \cdot \left(y - z\right)\right) + \left(-x\right) \cdot \left(y - z\right)
double f(double x, double y, double z, double t) {
        double r861719 = x;
        double r861720 = y;
        double r861721 = z;
        double r861722 = r861720 - r861721;
        double r861723 = t;
        double r861724 = r861723 - r861719;
        double r861725 = r861722 * r861724;
        double r861726 = r861719 + r861725;
        return r861726;
}
↓
double f(double x, double y, double z, double t) {
        double r861727 = x;
        double r861728 = t;
        double r861729 = y;
        double r861730 = z;
        double r861731 = r861729 - r861730;
        double r861732 = r861728 * r861731;
        double r861733 = r861727 + r861732;
        double r861734 = -r861727;
        double r861735 = r861734 * r861731;
        double r861736 = r861733 + r861735;
        return r861736;
}

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-rgt-in0.0

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

  5. Applied associate-+r+0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020034 
(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))))