Average Error: 12.8 → 0.3
Time: 7.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double v, double w, double r) {
	return ((double) (((double) (((double) (3.0 + ((double) (2.0 / ((double) (r * r)))))) - ((double) (((double) (((double) (0.125 * ((double) (3.0 - ((double) (2.0 * v)))))) * ((double) (((double) (((double) (w * w)) * r)) * r)))) / ((double) (1.0 - v)))))) - 4.5));
}

↓
double code(double v, double w, double r) {
	double VAR;
	if ((((double) (w * w)) <= 2.0062619874181415e+217)) {
		VAR = ((double) (3.0 + ((double) (((double) (2.0 / ((double) (r * r)))) - ((double) (((double) (r * ((double) (((double) (r * ((double) (w * 0.125)))) * ((double) (w * ((double) (((double) (3.0 - ((double) (2.0 * v)))) / ((double) (1.0 - v)))))))))) + 4.5))))));
	} else {
		VAR = ((double) (3.0 + ((double) (((double) (2.0 / ((double) (r * r)))) - ((double) (4.5 + ((double) (((double) (w * ((double) (((double) (3.0 - ((double) (2.0 * v)))) / ((double) (1.0 - v)))))) * ((double) (r * ((double) (r * ((double) (w * 0.125))))))))))))));
	}
	return VAR;
}

Error
Bits error versus v
Bits error versus w
Bits error versus r
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Split input into 2 regimes
  2. if  (* w w)  < 2.0062619874181415e217
    1. Initial program 8.8
      \[\]
    2. Simplified4.6
      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r*4.6
      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-*r*0.3
      \[\leadsto \]
    7. Simplified0.3
      \[\leadsto \]
    if 2.0062619874181415e217 <  (* w w) 
    1. Initial program 43.2
      \[\]
    2. Simplified37.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r*37.3
      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-*r*19.2
      \[\leadsto \]
    7. Simplified19.2
      \[\leadsto \]
    8. Using strategy rm
    9. Applied associate-*r*0.3
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(FPCore (v w r)
  :name "Rosa's TurbineBenchmark"
  :precision binary64
  (- (- (+ 3.0 (/ 2.0 (* r r))) (/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))) 4.5))