Average Error: 0.1 → 0.1
Time: 6.0s
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 r707152 = x;
        double r707153 = y;
        double r707154 = r707152 - r707153;
        double r707155 = 2.0;
        double r707156 = r707154 / r707155;
        double r707157 = r707152 + r707156;
        return r707157;
}
↓
double f(double x, double y) {
        double r707158 = x;
        double r707159 = y;
        double r707160 = r707158 - r707159;
        double r707161 = 2.0;
        double r707162 = r707160 / r707161;
        double r707163 = r707158 + r707162;
        return r707163;
}

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 2019353 +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)))