Average Error: 2.0 → 1.9
Time: 7.4s
Precision: binary64
\[\]
\[\]
double code(double a, double k, double m) {
	return (a * pow(k, m)) / ((1.0 + (10.0 * k)) + (k * k));
}
double code(double a, double k, double m) {
	return (a * pow(k, m)) / (1.0 + (k * (k + 10.0)));
}

Error

Bits error versus a

Bits error versus k

Bits error versus m

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.0

    \[\]
  2. Simplified1.9

    \[\leadsto \]
  3. Final simplification1.9

    \[\leadsto \]

Reproduce

herbie shell --seed 2020338 
(FPCore (a k m)
  :name "Falkner and Boettcher, Appendix A"
  :precision binary64
  (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))