Average Error: 0.1 → 0.1
Time: 7.0s
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 r740203 = x;
        double r740204 = y;
        double r740205 = r740203 - r740204;
        double r740206 = 2.0;
        double r740207 = r740205 / r740206;
        double r740208 = r740203 + r740207;
        return r740208;
}
↓
double f(double x, double y) {
        double r740209 = x;
        double r740210 = y;
        double r740211 = r740209 - r740210;
        double r740212 = 2.0;
        double r740213 = r740211 / r740212;
        double r740214 = r740209 + r740213;
        return r740214;
}

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 2020065 
(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)))