Average Error: 0.6 → 0.6
Time: 791.0ms
Precision: binary64
\[\log \left(e^{x} + 1\right) - x\]
↓
\[\log \left(e^{x} + 1\right) - x\]
\log \left(e^{x} + 1\right) - x
↓
\log \left(e^{x} + 1\right) - x
double code(double x) {
	return ((double) (((double) log(((double) (((double) exp(x)) + 1.0)))) - x));
}
↓
double code(double x) {
	return ((double) (((double) log(((double) (((double) exp(x)) + 1.0)))) - x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.6

    \[\log \left(e^{x} + 1\right) - x\]

  2. Final simplification0.6

    \[\leadsto \log \left(e^{x} + 1\right) - x\]

Reproduce

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