Average Error: 0.1 → 0.1
Time: 6.9s
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 r1382049 = x;
        double r1382050 = y;
        double r1382051 = r1382049 - r1382050;
        double r1382052 = 2.0;
        double r1382053 = r1382051 / r1382052;
        double r1382054 = r1382049 + r1382053;
        return r1382054;
}
↓
double f(double x, double y) {
        double r1382055 = x;
        double r1382056 = y;
        double r1382057 = r1382055 - r1382056;
        double r1382058 = 2.0;
        double r1382059 = r1382057 / r1382058;
        double r1382060 = r1382055 + r1382059;
        return r1382060;
}

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 2020047 
(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)))