Average Error: 22.1 → 22.1
Time: 2.3s
Precision: binary64
\[\log \left(1 + x\right) - x \cdot y\]
↓
\[\log \left(1 + x\right) - x \cdot y\]
\log \left(1 + x\right) - x \cdot y
↓
\log \left(1 + x\right) - x \cdot y
double code(double x, double y) {
	return ((double) (((double) log(((double) (1.0 + x)))) - ((double) (x * y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) log(((double) (1.0 + x)))) - ((double) (x * y))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 22.1

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

  2. Final simplification22.1

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(- (log (+ 1 x)) (* x y))"
  :precision binary64
  (- (log (+ 1.0 x)) (* x y)))