Average Error: 9.3 → 0.1
Time: 24.7s
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 r570190 = x;
        double r570191 = y;
        double r570192 = r570190 / r570191;
        double r570193 = 2.0;
        double r570194 = z;
        double r570195 = r570194 * r570193;
        double r570196 = 1.0;
        double r570197 = t;
        double r570198 = r570196 - r570197;
        double r570199 = r570195 * r570198;
        double r570200 = r570193 + r570199;
        double r570201 = r570197 * r570194;
        double r570202 = r570200 / r570201;
        double r570203 = r570192 + r570202;
        return r570203;
}
↓
double f(double x, double y, double z, double t) {
        double r570204 = 1.0;
        double r570205 = t;
        double r570206 = r570204 - r570205;
        double r570207 = 2.0;
        double r570208 = r570206 * r570207;
        double r570209 = z;
        double r570210 = r570207 / r570209;
        double r570211 = r570208 + r570210;
        double r570212 = r570211 / r570205;
        double r570213 = x;
        double r570214 = y;
        double r570215 = r570213 / r570214;
        double r570216 = r570212 + r570215;
        return r570216;
}

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

Original9.3
Target0.1
Herbie0.1
\[\frac{\frac{2}{z} + 2}{t} - \left(2 - \frac{x}{y}\right)\]

Derivation

  1. Initial program 9.3

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

  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 2019306 
(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))))