Average Error: 0 → 0
Time: 882.0ms
Precision: 64
\[\frac{\left|a - b\right|}{2}\]
↓
\[\frac{\left|a - b\right|}{2}\]
\frac{\left|a - b\right|}{2}
↓
\frac{\left|a - b\right|}{2}
double f(double a, double b) {
        double r245205 = a;
        double r245206 = b;
        double r245207 = r245205 - r245206;
        double r245208 = fabs(r245207);
        double r245209 = 2.0;
        double r245210 = r245208 / r245209;
        return r245210;
}
↓
double f(double a, double b) {
        double r245211 = a;
        double r245212 = b;
        double r245213 = r245211 - r245212;
        double r245214 = fabs(r245213);
        double r245215 = 2.0;
        double r245216 = r245214 / r245215;
        return r245216;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\left|a - b\right|}{2}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2}\]

Reproduce

herbie shell --seed 2019142 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))