(- 1.0 (* (* x x) x))

Average Error: 0.1 → 0.1

Time: 673.0ms

Precision: binary64

Math

\[1 - \left(x \cdot x\right) \cdot x\]

↓

\[1 - \left(x \cdot x\right) \cdot x\]

C

double code(double x) {
	return ((double) (1.0 - ((double) (((double) (x * x)) * x))));
}

↓

double code(double x) {
	return ((double) (1.0 - ((double) (((double) (x * x)) * x))));
}

Error

Bits error versus x

Derivation

1. Initial program 0.1

   \[1 - \left(x \cdot x\right) \cdot x\]

2. Final simplification 0.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- 1.0 (* (* x x) x))"
  :precision binary64
  (- 1.0 (* (* x x) x)))