Average Error: 0.1 → 0.1
Time: 21.8s
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 r40027074 = x;
        double r40027075 = y;
        double r40027076 = r40027074 - r40027075;
        double r40027077 = 2.0;
        double r40027078 = r40027076 / r40027077;
        double r40027079 = r40027074 + r40027078;
        return r40027079;
}
↓
double f(double x, double y) {
        double r40027080 = x;
        double r40027081 = y;
        double r40027082 = r40027080 - r40027081;
        double r40027083 = 2.0;
        double r40027084 = r40027082 / r40027083;
        double r40027085 = r40027080 + r40027084;
        return r40027085;
}

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 2019174 +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)))