Average Error: 14.1 → 9.4
Time: 11.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double w0, double M, double D, double h, double l, double d) {
	return ((double) (w0 * ((double) sqrt(((double) (1.0 - ((double) (((double) pow(((double) (((double) (M * D)) / ((double) (2.0 * d)))), 2.0)) * ((double) (h / l))))))))));
}

↓
double code(double w0, double M, double D, double h, double l, double d) {
	return ((double) (w0 * ((double) sqrt(((double) (1.0 - ((double) (((double) (((double) pow(((double) (((double) (D / d)) * ((double) (M / 2.0)))), ((double) (2.0 / 2.0)))) * ((double) (h * ((double) pow(((double) (((double) (D / d)) * ((double) (M / 2.0)))), ((double) (2.0 / 2.0)))))))) / l))))))));
}

Error
Bits error versus w0
Bits error versus M
Bits error versus D
Bits error versus h
Bits error versus l
Bits error versus d
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 14.1
    \[\]
  2. Using strategy rm
  3. Applied associate-*r/11.1
    \[\leadsto \]
  4. Simplified10.9
    \[\leadsto \]
  5. Using strategy rm
  6. Applied sqr-pow10.9
    \[\leadsto \]
  7. Applied associate-*r*9.4
    \[\leadsto \]
  8. Final simplification9.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (w0 M D h l d)
  :name "Henrywood and Agarwal, Equation (9a)"
  :precision binary64
  (* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))))