Average Error: 5.6 → 0
Time: 1.6s
Precision: binary64
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double code(double a, double b) {
	return ((double) exp(((double) (((double) log(a)) + ((double) log(b))))));
}
double code(double a, double b) {
	return ((double) (a * b));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.6
Target0
Herbie0
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Derivation

  1. Initial program 5.6

    \[\]
  2. Simplified0

    \[\leadsto \]
  3. Final simplification0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (a b)
  :name "Exp of sum of logs"
  :precision binary64

  :herbie-target
  (* a b)

  (exp (+ (log a) (log b))))