Average Error: 0.1 → 0.1
Time: 5.4s
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 r756175 = x;
        double r756176 = y;
        double r756177 = r756175 - r756176;
        double r756178 = 2.0;
        double r756179 = r756177 / r756178;
        double r756180 = r756175 + r756179;
        return r756180;
}
↓
double f(double x, double y) {
        double r756181 = x;
        double r756182 = y;
        double r756183 = r756181 - r756182;
        double r756184 = 2.0;
        double r756185 = r756183 / r756184;
        double r756186 = r756181 + r756185;
        return r756186;
}

Error

Bits error versus x

Bits error versus y

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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 
(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)))