Average Error: 0.0 → 0.0
Time: 941.0ms
Precision: 64
\[x + \frac{y - x}{2}\]
\[x + \frac{y - x}{2}\]
x + \frac{y - x}{2}
x + \frac{y - x}{2}
double f(double x, double y) {
        double r32450 = x;
        double r32451 = y;
        double r32452 = r32451 - r32450;
        double r32453 = 2.0;
        double r32454 = r32452 / r32453;
        double r32455 = r32450 + r32454;
        return r32455;
}

double f(double x, double y) {
        double r32456 = x;
        double r32457 = y;
        double r32458 = r32457 - r32456;
        double r32459 = 2.0;
        double r32460 = r32458 / r32459;
        double r32461 = r32456 + r32460;
        return r32461;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.0
Target0
Herbie0.0
\[0.5 \cdot \left(x + y\right)\]

Derivation

  1. Initial program 0.0

    \[x + \frac{y - x}{2}\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019315 
(FPCore (x y)
  :name "Numeric.Interval.Internal:bisect from intervals-0.7.1, A"
  :precision binary64

  :herbie-target
  (* 0.5 (+ x y))

  (+ x (/ (- y x) 2)))