Average Error: 0.2 → 0.3
Time: 3.3s
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
\[\frac{1}{\frac{-\cos^{-1} a}{a}}\]
\frac{a}{-\cos^{-1} a}
\frac{1}{\frac{-\cos^{-1} a}{a}}
double code(double a) {
	return (a / -acos(a));
}
double code(double a) {
	return (1.0 / (-acos(a) / a));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{a}{-\cos^{-1} a}\]
  2. Using strategy rm
  3. Applied clear-num0.3

    \[\leadsto \color{blue}{\frac{1}{\frac{-\cos^{-1} a}{a}}}\]
  4. Final simplification0.3

    \[\leadsto \frac{1}{\frac{-\cos^{-1} a}{a}}\]

Reproduce

herbie shell --seed 2020092 
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))