Average Error: 0.1 → 0.1
Time: 4.5s
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 r659179 = x;
        double r659180 = y;
        double r659181 = r659179 - r659180;
        double r659182 = 2.0;
        double r659183 = r659181 / r659182;
        double r659184 = r659179 + r659183;
        return r659184;
}
↓
double f(double x, double y) {
        double r659185 = x;
        double r659186 = y;
        double r659187 = r659185 - r659186;
        double r659188 = 2.0;
        double r659189 = r659187 / r659188;
        double r659190 = r659185 + r659189;
        return r659190;
}

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 2020039 
(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)))