Average Error: 0.0 → 0.0
Time: 14.4s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[\frac{1}{8} \cdot x + \left(t - \frac{y \cdot z}{2}\right)\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
\frac{1}{8} \cdot x + \left(t - \frac{y \cdot z}{2}\right)
double f(double x, double y, double z, double t) {
        double r577658 = 1.0;
        double r577659 = 8.0;
        double r577660 = r577658 / r577659;
        double r577661 = x;
        double r577662 = r577660 * r577661;
        double r577663 = y;
        double r577664 = z;
        double r577665 = r577663 * r577664;
        double r577666 = 2.0;
        double r577667 = r577665 / r577666;
        double r577668 = r577662 - r577667;
        double r577669 = t;
        double r577670 = r577668 + r577669;
        return r577670;
}
↓
double f(double x, double y, double z, double t) {
        double r577671 = 1.0;
        double r577672 = 8.0;
        double r577673 = r577671 / r577672;
        double r577674 = x;
        double r577675 = r577673 * r577674;
        double r577676 = t;
        double r577677 = y;
        double r577678 = z;
        double r577679 = r577677 * r577678;
        double r577680 = 2.0;
        double r577681 = r577679 / r577680;
        double r577682 = r577676 - r577681;
        double r577683 = r577675 + r577682;
        return r577683;
}

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
\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

  1. Initial program 0.0

    \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto \color{blue}{\left(\frac{1}{8} \cdot x + \left(-\frac{y \cdot z}{2}\right)\right)} + t\]

  4. Applied associate-+l+0.0

    \[\leadsto \color{blue}{\frac{1}{8} \cdot x + \left(\left(-\frac{y \cdot z}{2}\right) + t\right)}\]

  5. Simplified0.0

    \[\leadsto \frac{1}{8} \cdot x + \color{blue}{\left(t - \frac{y \cdot z}{2}\right)}\]

  6. Final simplification0.0

    \[\leadsto \frac{1}{8} \cdot x + \left(t - \frac{y \cdot z}{2}\right)\]

Reproduce

herbie shell --seed 2019305 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))