Average Error: 0.1 → 0.1
Time: 4.7s
Precision: 64
\[x + \frac{x - y}{2}\]
↓
\[x + \frac{x - y}{2}\]
x + \frac{x - y}{2}
↓
x + \frac{x - y}{2}
double f(double x, double y) {
        double r692238 = x;
        double r692239 = y;
        double r692240 = r692238 - r692239;
        double r692241 = 2.0;
        double r692242 = r692240 / r692241;
        double r692243 = r692238 + r692242;
        return r692243;
}
↓
double f(double x, double y) {
        double r692244 = x;
        double r692245 = y;
        double r692246 = r692244 - r692245;
        double r692247 = 2.0;
        double r692248 = r692246 / r692247;
        double r692249 = r692244 + r692248;
        return r692249;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[1.5 \cdot x - 0.5 \cdot y\]

Derivation

  1. Initial program 0.1

    \[x + \frac{x - y}{2}\]

  2. Final simplification0.1

    \[\leadsto x + \frac{x - y}{2}\]

Reproduce

herbie shell --seed 2020060 +o rules:numerics
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- (* 1.5 x) (* 0.5 y))

  (+ x (/ (- x y) 2)))