Average Error: 38.9 → 38.9
Time: 2.1s
Precision: binary64
\[\log \left(1 + x \cdot 99999\right)\]
↓
\[\log \left(1 + x \cdot 99999\right)\]
\log \left(1 + x \cdot 99999\right)
↓
\log \left(1 + x \cdot 99999\right)
double code(double x) {
	return ((double) log(((double) (1.0 + ((double) (x * 99999.0))))));
}
↓
double code(double x) {
	return ((double) log(((double) (1.0 + ((double) (x * 99999.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 38.9

    \[\log \left(1 + x \cdot 99999\right)\]

  2. Final simplification38.9

    \[\leadsto \log \left(1 + x \cdot 99999\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(log (+ 1 (* x 99999)))"
  :precision binary64
  (log (+ 1.0 (* x 99999.0))))