Average Error: 0 → 0
Time: 976.0ms
Precision: 64
\[\frac{1}{2} \cdot \left(x + y\right)\]
↓
\[\frac{1}{2} \cdot \left(x + y\right)\]
\frac{1}{2} \cdot \left(x + y\right)
↓
\frac{1}{2} \cdot \left(x + y\right)
double f(double x, double y) {
        double r547280 = 1.0;
        double r547281 = 2.0;
        double r547282 = r547280 / r547281;
        double r547283 = x;
        double r547284 = y;
        double r547285 = r547283 + r547284;
        double r547286 = r547282 * r547285;
        return r547286;
}
↓
double f(double x, double y) {
        double r547287 = 1.0;
        double r547288 = 2.0;
        double r547289 = r547287 / r547288;
        double r547290 = x;
        double r547291 = y;
        double r547292 = r547290 + r547291;
        double r547293 = r547289 * r547292;
        return r547293;
}

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
Target0
Herbie0
\[\frac{x + y}{2}\]

Derivation

  1. Initial program 0

    \[\frac{1}{2} \cdot \left(x + y\right)\]

  2. Final simplification0

    \[\leadsto \frac{1}{2} \cdot \left(x + y\right)\]

Reproduce

herbie shell --seed 2019212 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, G"
  :precision binary64

  :herbie-target
  (/ (+ x y) 2)

  (* (/ 1 2) (+ x y)))