Average Error: 0.2 → 0.3
Time: 3.8s
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 ((double) (a / ((double) -(((double) acos(a))))));
}
↓
double code(double a) {
	return ((double) (1.0 / ((double) (((double) -(((double) 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 2020122 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))