Average Error: 0.1 → 0.1
Time: 1.1s
Precision: binary64
\[1 - a \cdot \left(\cos b \cdot \cos b\right)\]
↓
\[1 - a \cdot \left(\cos b \cdot \cos b\right)\]
1 - a \cdot \left(\cos b \cdot \cos b\right)
↓
1 - a \cdot \left(\cos b \cdot \cos b\right)
double code(double a, double b) {
	return ((double) (1.0 - ((double) (a * ((double) (((double) cos(b)) * ((double) cos(b))))))));
}
↓
double code(double a, double b) {
	return ((double) (1.0 - ((double) (a * ((double) (((double) cos(b)) * ((double) cos(b))))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[1 - a \cdot \left(\cos b \cdot \cos b\right)\]

  2. Final simplification0.1

    \[\leadsto 1 - a \cdot \left(\cos b \cdot \cos b\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(- 1 (* a (* (cos b) (cos b))))"
  :precision binary64
  (- 1.0 (* a (* (cos b) (cos b)))))