Average Error: 1.0 → 1.0
Time: 1.6s
Precision: binary64
\[\cos \left(\frac{\cos^{-1} \left(\frac{s}{v \cdot sqrtv}\right)}{3}\right)\]
↓
\[\cos \left(\frac{\cos^{-1} \left(\frac{s}{v \cdot sqrtv}\right)}{3}\right)\]
\cos \left(\frac{\cos^{-1} \left(\frac{s}{v \cdot sqrtv}\right)}{3}\right)
↓
\cos \left(\frac{\cos^{-1} \left(\frac{s}{v \cdot sqrtv}\right)}{3}\right)
double code(double s, double v, double sqrtv) {
	return ((double) cos(((double) (((double) acos(((double) (s / ((double) (v * sqrtv)))))) / 3.0))));
}
↓
double code(double s, double v, double sqrtv) {
	return ((double) cos(((double) (((double) acos(((double) (s / ((double) (v * sqrtv)))))) / 3.0))));
}

Error

Bits error versus s

Bits error versus v

Bits error versus sqrtv

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.0

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

  2. Final simplification1.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (s v sqrtv)
  :name "(cos (/ (acos (/ s (* v sqrtv))) 3))"
  :precision binary64
  (cos (/ (acos (/ s (* v sqrtv))) 3.0)))