Average Error: 5.7 → 0
Time: 4.4s
Precision: 64
\[e^{\log a + \log b}\]
↓
\[a \cdot b\]
e^{\log a + \log b}
↓
a \cdot b
double f(double a, double b) {
        double r4427177 = a;
        double r4427178 = log(r4427177);
        double r4427179 = b;
        double r4427180 = log(r4427179);
        double r4427181 = r4427178 + r4427180;
        double r4427182 = exp(r4427181);
        return r4427182;
}
↓
double f(double a, double b) {
        double r4427183 = a;
        double r4427184 = b;
        double r4427185 = r4427183 * r4427184;
        return r4427185;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.7
Target0
Herbie0
\[a \cdot b\]

Derivation

  1. Initial program 5.7

    \[e^{\log a + \log b}\]

  2. Simplified0

    \[\leadsto \color{blue}{a \cdot b}\]

  3. Final simplification0

    \[\leadsto a \cdot b\]

Reproduce

herbie shell --seed 2019125 
(FPCore (a b)
  :name "Exp of sum of logs"

  :herbie-target
  (* a b)

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