Average Error: 0.1 → 0.1
Time: 10.6s
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 r12954898 = x;
        double r12954899 = y;
        double r12954900 = r12954898 - r12954899;
        double r12954901 = 2.0;
        double r12954902 = r12954900 / r12954901;
        double r12954903 = r12954898 + r12954902;
        return r12954903;
}
↓
double f(double x, double y) {
        double r12954904 = 1.5;
        double r12954905 = x;
        double r12954906 = r12954904 * r12954905;
        double r12954907 = 0.5;
        double r12954908 = y;
        double r12954909 = r12954907 * r12954908;
        double r12954910 = r12954906 - r12954909;
        return r12954910;
}

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 2019156 
(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)))