Average Error: 0.1 → 0.1
Time: 4.9s
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 r704249 = x;
        double r704250 = y;
        double r704251 = r704249 - r704250;
        double r704252 = 2.0;
        double r704253 = r704251 / r704252;
        double r704254 = r704249 + r704253;
        return r704254;
}
↓
double f(double x, double y) {
        double r704255 = x;
        double r704256 = y;
        double r704257 = r704255 - r704256;
        double r704258 = 2.0;
        double r704259 = r704257 / r704258;
        double r704260 = r704255 + r704259;
        return r704260;
}

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 2020056 +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)))