Average Error: 3.9 → 3.9
Time: 956.0ms
Precision: binary64
\[\mathsf{fma}\left(x, \frac{y}{a}, z\right)\]
↓
\[\mathsf{fma}\left(x, \frac{y}{a}, z\right)\]
\mathsf{fma}\left(x, \frac{y}{a}, z\right)
↓
\mathsf{fma}\left(x, \frac{y}{a}, z\right)
double code(double x, double y, double a, double z) {
	return ((double) fma(x, ((double) (y / a)), z));
}
↓
double code(double x, double y, double a, double z) {
	return ((double) fma(x, ((double) (y / a)), z));
}

Error

Bits error versus x

Bits error versus y

Bits error versus a

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.9

    \[\mathsf{fma}\left(x, \frac{y}{a}, z\right)\]

  2. Final simplification3.9

    \[\leadsto \mathsf{fma}\left(x, \frac{y}{a}, z\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y a z)
  :name "(fma x (/ y a) z)"
  :precision binary64
  (fma x (/ y a) z))