Average Error: 0.1 → 0.1
Time: 14.8s
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 r732959 = x;
        double r732960 = y;
        double r732961 = r732959 - r732960;
        double r732962 = 2.0;
        double r732963 = r732961 / r732962;
        double r732964 = r732959 + r732963;
        return r732964;
}
↓
double f(double x, double y) {
        double r732965 = x;
        double r732966 = y;
        double r732967 = r732965 - r732966;
        double r732968 = 2.0;
        double r732969 = r732967 / r732968;
        double r732970 = r732965 + r732969;
        return r732970;
}

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 2019351 +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)))