Average Error: 0.1 → 0.1
Time: 11.3s
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 r755017 = x;
        double r755018 = y;
        double r755019 = r755017 - r755018;
        double r755020 = 2.0;
        double r755021 = r755019 / r755020;
        double r755022 = r755017 + r755021;
        return r755022;
}
↓
double f(double x, double y) {
        double r755023 = x;
        double r755024 = y;
        double r755025 = r755023 - r755024;
        double r755026 = 2.0;
        double r755027 = r755025 / r755026;
        double r755028 = r755023 + r755027;
        return r755028;
}

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 2020045 
(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)))