Average Error: 0 → 0
Time: 986.0ms
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 r496208 = a;
        double r496209 = b;
        double r496210 = r496208 - r496209;
        double r496211 = fabs(r496210);
        double r496212 = 2.0;
        double r496213 = r496211 / r496212;
        return r496213;
}

double f(double a, double b) {
        double r496214 = a;
        double r496215 = b;
        double r496216 = r496214 - r496215;
        double r496217 = fabs(r496216);
        double r496218 = 2.0;
        double r496219 = r496217 / r496218;
        return r496219;
}

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 2019143 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))