Average Error: 0.1 → 0.1
Time: 19.0s
Precision: 64
\[x + \frac{x - y}{2.0}\]
↓
\[1.5 \cdot x - 0.5 \cdot y\]
x + \frac{x - y}{2.0}
↓
1.5 \cdot x - 0.5 \cdot y
double f(double x, double y) {
        double r34615789 = x;
        double r34615790 = y;
        double r34615791 = r34615789 - r34615790;
        double r34615792 = 2.0;
        double r34615793 = r34615791 / r34615792;
        double r34615794 = r34615789 + r34615793;
        return r34615794;
}
↓
double f(double x, double y) {
        double r34615795 = 1.5;
        double r34615796 = x;
        double r34615797 = r34615795 * r34615796;
        double r34615798 = 0.5;
        double r34615799 = y;
        double r34615800 = r34615798 * r34615799;
        double r34615801 = r34615797 - r34615800;
        return r34615801;
}

Error

Bits error versus x

Bits error versus y

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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

    \[x + \frac{x - y}{2.0}\]

  2. Taylor expanded around 0 0.1

    \[\leadsto \color{blue}{1.5 \cdot x - 0.5 \cdot y}\]

  3. Final simplification0.1

    \[\leadsto 1.5 \cdot x - 0.5 \cdot y\]

Reproduce

herbie shell --seed 2019158 
(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)))