Average Error: 28.6 → 28.6
Time: 4.8s
Precision: binary64
\[\cos \left(\frac{pi}{3} + \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\right)\]
↓
\[\cos \left(\frac{pi}{3} + \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\right)\]
\cos \left(\frac{pi}{3} + \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\right)
↓
\cos \left(\frac{pi}{3} + \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\right)
double code(double pi, double s, double v) {
	return ((double) cos(((double) (((double) (pi / 3.0)) + ((double) (((double) acos(((double) (s / ((double) (v * ((double) sqrt(v)))))))) / 3.0))))));
}
↓
double code(double pi, double s, double v) {
	return ((double) cos(((double) (((double) (pi / 3.0)) + ((double) (((double) acos(((double) (s / ((double) (v * ((double) sqrt(v)))))))) / 3.0))))));
}

Error

Bits error versus pi

Bits error versus s

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 28.6

    \[\cos \left(\frac{pi}{3} + \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\right)\]

  2. Final simplification28.6

    \[\leadsto \cos \left(\frac{pi}{3} + \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (pi s v)
  :name "(cos (+ (/ pi 3) (/ (acos (/ s (* v (sqrt v)))) 3)))"
  :precision binary64
  (cos (+ (/ pi 3.0) (/ (acos (/ s (* v (sqrt v)))) 3.0))))