Average Error: 0.1 → 0.1
Time: 20.3s
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 r29116703 = x;
        double r29116704 = y;
        double r29116705 = r29116703 - r29116704;
        double r29116706 = 2.0;
        double r29116707 = r29116705 / r29116706;
        double r29116708 = r29116703 + r29116707;
        return r29116708;
}
↓
double f(double x, double y) {
        double r29116709 = x;
        double r29116710 = y;
        double r29116711 = r29116709 - r29116710;
        double r29116712 = 2.0;
        double r29116713 = r29116711 / r29116712;
        double r29116714 = r29116709 + r29116713;
        return r29116714;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"

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

  (+ x (/ (- x y) 2.0)))