Average Error: 9.0 → 0.1
Time: 15.6s
Precision: 64
\[\frac{x}{y} + \frac{2 + \left(z \cdot 2\right) \cdot \left(1 - t\right)}{t \cdot z}\]
↓
\[\frac{\left(1 - t\right) \cdot 2 + \frac{2}{z}}{t} + \frac{x}{y}\]
\frac{x}{y} + \frac{2 + \left(z \cdot 2\right) \cdot \left(1 - t\right)}{t \cdot z}
↓
\frac{\left(1 - t\right) \cdot 2 + \frac{2}{z}}{t} + \frac{x}{y}
double f(double x, double y, double z, double t) {
        double r58928 = x;
        double r58929 = y;
        double r58930 = r58928 / r58929;
        double r58931 = 2.0;
        double r58932 = z;
        double r58933 = r58932 * r58931;
        double r58934 = 1.0;
        double r58935 = t;
        double r58936 = r58934 - r58935;
        double r58937 = r58933 * r58936;
        double r58938 = r58931 + r58937;
        double r58939 = r58935 * r58932;
        double r58940 = r58938 / r58939;
        double r58941 = r58930 + r58940;
        return r58941;
}
↓
double f(double x, double y, double z, double t) {
        double r58942 = 1.0;
        double r58943 = t;
        double r58944 = r58942 - r58943;
        double r58945 = 2.0;
        double r58946 = r58944 * r58945;
        double r58947 = z;
        double r58948 = r58945 / r58947;
        double r58949 = r58946 + r58948;
        double r58950 = r58949 / r58943;
        double r58951 = x;
        double r58952 = y;
        double r58953 = r58951 / r58952;
        double r58954 = r58950 + r58953;
        return r58954;
}

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

Original9.0
Target0.1
Herbie0.1
\[\frac{\frac{2}{z} + 2}{t} - \left(2 - \frac{x}{y}\right)\]

Derivation

  1. Initial program 9.0

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

  2. Simplified0.1

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019315 
(FPCore (x y z t)
  :name "Data.HashTable.ST.Basic:computeOverhead from hashtables-1.2.0.2"
  :precision binary64

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

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