Average Error: 6.3 → 6.3
Time: 914.0ms
Precision: binary64
\[\mathsf{fma}\left(x \cdot x, y, z\right)\]
↓
\[\mathsf{fma}\left(x \cdot x, y, z\right)\]
\mathsf{fma}\left(x \cdot x, y, z\right)
↓
\mathsf{fma}\left(x \cdot x, y, z\right)
double code(double x, double y, double z) {
	return ((double) fma(((double) (x * x)), y, z));
}
↓
double code(double x, double y, double z) {
	return ((double) fma(((double) (x * x)), y, z));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 6.3

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

  2. Final simplification6.3

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y z)
  :name "(fma (* x x) y z)"
  :precision binary64
  (fma (* x x) y z))