Average Error: 0.0 → 0.1
Time: 3.3s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[\left(\frac{1}{8} \cdot x - \frac{y}{\frac{2}{z}}\right) + t\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
\left(\frac{1}{8} \cdot x - \frac{y}{\frac{2}{z}}\right) + t
double f(double x, double y, double z, double t) {
        double r825882 = 1.0;
        double r825883 = 8.0;
        double r825884 = r825882 / r825883;
        double r825885 = x;
        double r825886 = r825884 * r825885;
        double r825887 = y;
        double r825888 = z;
        double r825889 = r825887 * r825888;
        double r825890 = 2.0;
        double r825891 = r825889 / r825890;
        double r825892 = r825886 - r825891;
        double r825893 = t;
        double r825894 = r825892 + r825893;
        return r825894;
}
↓
double f(double x, double y, double z, double t) {
        double r825895 = 1.0;
        double r825896 = 8.0;
        double r825897 = r825895 / r825896;
        double r825898 = x;
        double r825899 = r825897 * r825898;
        double r825900 = y;
        double r825901 = 2.0;
        double r825902 = z;
        double r825903 = r825901 / r825902;
        double r825904 = r825900 / r825903;
        double r825905 = r825899 - r825904;
        double r825906 = t;
        double r825907 = r825905 + r825906;
        return r825907;
}

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
Herbie0.1
\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

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 associate-/l*0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020025 
(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))