Average Error: 0.0 → 0.0
Time: 33.7s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[\left(x + \left(y - z\right) \cdot t\right) + \left(y - z\right) \cdot \left(-x\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
\left(x + \left(y - z\right) \cdot t\right) + \left(y - z\right) \cdot \left(-x\right)
double f(double x, double y, double z, double t) {
        double r603000 = x;
        double r603001 = y;
        double r603002 = z;
        double r603003 = r603001 - r603002;
        double r603004 = t;
        double r603005 = r603004 - r603000;
        double r603006 = r603003 * r603005;
        double r603007 = r603000 + r603006;
        return r603007;
}
↓
double f(double x, double y, double z, double t) {
        double r603008 = x;
        double r603009 = y;
        double r603010 = z;
        double r603011 = r603009 - r603010;
        double r603012 = t;
        double r603013 = r603011 * r603012;
        double r603014 = r603008 + r603013;
        double r603015 = -r603008;
        double r603016 = r603011 * r603015;
        double r603017 = r603014 + r603016;
        return r603017;
}

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

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

Reproduce

herbie shell --seed 2019303 
(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))))