Average Error: 0.6 → 0.6
Time: 2.4s
Precision: binary64
\[\log \left(1 + e^{a \cdot b}\right)\]
↓
\[\log \left(1 + e^{a \cdot b}\right)\]
\log \left(1 + e^{a \cdot b}\right)
↓
\log \left(1 + e^{a \cdot b}\right)
double code(double a, double b) {
	return ((double) log(((double) (1.0 + ((double) exp(((double) (a * b))))))));
}
↓
double code(double a, double b) {
	return ((double) log(((double) (1.0 + ((double) exp(((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 0.6

    \[\log \left(1 + e^{a \cdot b}\right)\]

  2. Final simplification0.6

    \[\leadsto \log \left(1 + e^{a \cdot b}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(log (+ 1 (exp (* a b))))"
  :precision binary64
  (log (+ 1.0 (exp (* a b)))))