(- (* tx tx) (sqrt ty))

Average Error: 0.0 → 0.0

Time: 1.3s

Precision: binary64

Math

\[tx \cdot tx - \sqrt{ty}\]

↓

\[tx \cdot tx - \sqrt{ty}\]

C

double code(double tx, double ty) {
	return ((double) (((double) (tx * tx)) - ((double) sqrt(ty))));
}

↓

double code(double tx, double ty) {
	return ((double) (((double) (tx * tx)) - ((double) sqrt(ty))));
}

Error

Bits error versus tx

Bits error versus ty

Derivation

1. Initial program 0.0

   \[tx \cdot tx - \sqrt{ty}\]

2. Final simplification 0.0

   \[\leadsto tx \cdot tx - \sqrt{ty}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (tx ty)
  :name "(- (* tx tx) (sqrt ty))"
  :precision binary64
  (- (* tx tx) (sqrt ty)))