Average Error: 0.0 → 0.0
Time: 2.4s
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 r703812 = x;
        double r703813 = y;
        double r703814 = z;
        double r703815 = r703813 - r703814;
        double r703816 = t;
        double r703817 = r703816 - r703812;
        double r703818 = r703815 * r703817;
        double r703819 = r703812 + r703818;
        return r703819;
}
↓
double f(double x, double y, double z, double t) {
        double r703820 = x;
        double r703821 = y;
        double r703822 = z;
        double r703823 = r703821 - r703822;
        double r703824 = t;
        double r703825 = r703823 * r703824;
        double r703826 = -r703820;
        double r703827 = r703823 * r703826;
        double r703828 = r703825 + r703827;
        double r703829 = r703820 + r703828;
        return r703829;
}

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 2020083 
(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))))