Average Error: 0.0 → 0.0
Time: 16.4s
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 r38027795 = x;
        double r38027796 = y;
        double r38027797 = z;
        double r38027798 = r38027796 - r38027797;
        double r38027799 = t;
        double r38027800 = r38027799 - r38027795;
        double r38027801 = r38027798 * r38027800;
        double r38027802 = r38027795 + r38027801;
        return r38027802;
}
↓
double f(double x, double y, double z, double t) {
        double r38027803 = x;
        double r38027804 = y;
        double r38027805 = z;
        double r38027806 = r38027804 - r38027805;
        double r38027807 = t;
        double r38027808 = r38027806 * r38027807;
        double r38027809 = -r38027803;
        double r38027810 = r38027806 * r38027809;
        double r38027811 = r38027808 + r38027810;
        double r38027812 = r38027803 + r38027811;
        return r38027812;
}

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 2019192 
(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))))