Average Error: 1.0 → 0.0
Time: 2.6s
Precision: binary64
\[\]
\[\]
double code(double v) {
	return ((double) (4.0 / ((double) (((double) (((double) (3.0 * ((double) M_PI))) * ((double) (1.0 - ((double) (v * v)))))) * ((double) sqrt(((double) (2.0 - ((double) (6.0 * ((double) (v * v))))))))))));
}
double code(double v) {
	return ((double) (((double) (4.0 / ((double) (3.0 * ((double) (((double) M_PI) * ((double) (1.0 - ((double) (v * v)))))))))) / ((double) sqrt(((double) (2.0 - ((double) (((double) (v * v)) * 6.0))))))));
}

Error

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.0

    \[\]
  2. Using strategy rm
  3. Applied associate-/r*0.0

    \[\leadsto \]
  4. Simplified0.0

    \[\leadsto \]
  5. Final simplification0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (v)
  :name "Falkner and Boettcher, Equation (22+)"
  :precision binary64
  (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))