Average Error: 9.4 → 0.1
Time: 11.8s
Precision: 64
\[\frac{x}{y} + \frac{2 + \left(z \cdot 2\right) \cdot \left(1 - t\right)}{t \cdot z}\]
↓
\[\frac{\frac{2}{z} + 1 \cdot 2}{t} - \left(2 - \frac{x}{y}\right)\]
\frac{x}{y} + \frac{2 + \left(z \cdot 2\right) \cdot \left(1 - t\right)}{t \cdot z}
↓
\frac{\frac{2}{z} + 1 \cdot 2}{t} - \left(2 - \frac{x}{y}\right)
double f(double x, double y, double z, double t) {
        double r935930 = x;
        double r935931 = y;
        double r935932 = r935930 / r935931;
        double r935933 = 2.0;
        double r935934 = z;
        double r935935 = r935934 * r935933;
        double r935936 = 1.0;
        double r935937 = t;
        double r935938 = r935936 - r935937;
        double r935939 = r935935 * r935938;
        double r935940 = r935933 + r935939;
        double r935941 = r935937 * r935934;
        double r935942 = r935940 / r935941;
        double r935943 = r935932 + r935942;
        return r935943;
}
↓
double f(double x, double y, double z, double t) {
        double r935944 = 2.0;
        double r935945 = z;
        double r935946 = r935944 / r935945;
        double r935947 = 1.0;
        double r935948 = r935947 * r935944;
        double r935949 = r935946 + r935948;
        double r935950 = t;
        double r935951 = r935949 / r935950;
        double r935952 = x;
        double r935953 = y;
        double r935954 = r935952 / r935953;
        double r935955 = r935944 - r935954;
        double r935956 = r935951 - r935955;
        return r935956;
}

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

Original9.4
Target0.1
Herbie0.1
\[\frac{\frac{2}{z} + 2}{t} - \left(2 - \frac{x}{y}\right)\]

Derivation

  1. Initial program 9.4

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

  2. Simplified0.1

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2020046 
(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))))