Average Error: 0.0 → 0.0
Time: 22.0s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[\left(x + \left(y \cdot t + \left(-z\right) \cdot t\right)\right) + \left(-x\right) \cdot \left(y - z\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
\left(x + \left(y \cdot t + \left(-z\right) \cdot t\right)\right) + \left(-x\right) \cdot \left(y - z\right)
double f(double x, double y, double z, double t) {
        double r853561 = x;
        double r853562 = y;
        double r853563 = z;
        double r853564 = r853562 - r853563;
        double r853565 = t;
        double r853566 = r853565 - r853561;
        double r853567 = r853564 * r853566;
        double r853568 = r853561 + r853567;
        return r853568;
}
↓
double f(double x, double y, double z, double t) {
        double r853569 = x;
        double r853570 = y;
        double r853571 = t;
        double r853572 = r853570 * r853571;
        double r853573 = z;
        double r853574 = -r853573;
        double r853575 = r853574 * r853571;
        double r853576 = r853572 + r853575;
        double r853577 = r853569 + r853576;
        double r853578 = -r853569;
        double r853579 = r853570 - r853573;
        double r853580 = r853578 * r853579;
        double r853581 = r853577 + r853580;
        return r853581;
}

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. Using strategy rm

  7. Applied sub-neg0.0

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

  8. Applied distribute-lft-in0.0

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

  9. Simplified0.0

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

  10. Simplified0.0

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

  11. Final simplification0.0

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

Reproduce

herbie shell --seed 2020042 
(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))))