Average Error: 15.3 → 15.3
Time: 950.0ms
Precision: binary64
\[\log \left(a \cdot b\right)\]
↓
\[\log \left(a \cdot b\right)\]
\log \left(a \cdot b\right)
↓
\log \left(a \cdot b\right)
double code(double a, double b) {
	return ((double) log(((double) (a * b))));
}
↓
double code(double a, double b) {
	return ((double) log(((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

Derivation

  1. Initial program 15.3

    \[\log \left(a \cdot b\right)\]

  2. Final simplification15.3

    \[\leadsto \log \left(a \cdot b\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(log (* a b))"
  :precision binary64
  (log (* a b)))