Average Error: 0.1 → 0.1
Time: 3.9s
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 r632905 = x;
        double r632906 = y;
        double r632907 = r632905 - r632906;
        double r632908 = 2.0;
        double r632909 = r632907 / r632908;
        double r632910 = r632905 + r632909;
        return r632910;
}
↓
double f(double x, double y) {
        double r632911 = x;
        double r632912 = y;
        double r632913 = r632911 - r632912;
        double r632914 = 2.0;
        double r632915 = r632913 / r632914;
        double r632916 = r632911 + r632915;
        return r632916;
}

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

    \[x + \frac{x - y}{2}\]

  2. Final simplification0.1

    \[\leadsto x + \frac{x - y}{2}\]

Reproduce

herbie shell --seed 2020001 +o rules:numerics
(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)))