Average Error: 0.7 → 0.7
Time: 1.8s
Precision: binary64
\[1 - {\left(\sin x\right)}^{2}\]
↓
\[1 - {\left(\sin x\right)}^{2}\]
1 - {\left(\sin x\right)}^{2}
↓
1 - {\left(\sin x\right)}^{2}
double code(double x) {
	return ((double) (1.0 - ((double) pow(((double) sin(x)), 2.0))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) pow(((double) sin(x)), 2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[1 - {\left(\sin x\right)}^{2}\]

  2. Final simplification0.7

    \[\leadsto 1 - {\left(\sin x\right)}^{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- 1 (pow (sin x) 2))"
  :precision binary64
  (- 1.0 (pow (sin x) 2.0)))