Average Error: 0.1 → 0.1
Time: 36.4s
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 r73428169 = x;
        double r73428170 = y;
        double r73428171 = r73428169 - r73428170;
        double r73428172 = 2.0;
        double r73428173 = r73428171 / r73428172;
        double r73428174 = r73428169 + r73428173;
        return r73428174;
}
↓
double f(double x, double y) {
        double r73428175 = x;
        double r73428176 = y;
        double r73428177 = r73428175 - r73428176;
        double r73428178 = 2.0;
        double r73428179 = r73428177 / r73428178;
        double r73428180 = r73428175 + r73428179;
        return r73428180;
}

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 2019173 +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)))