Average Error: 12.6 → 8.4
Time: 7.4s
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) {
	return ((double) (3.0 + ((double) (((double) (((double) (2.0 / r)) / r)) - ((double) (((double) (r * ((double) (r * ((double) (0.125 * ((double) (w * ((double) (w * ((double) (((double) (3.0 - ((double) (2.0 * v)))) / ((double) (1.0 - v)))))))))))))) + 4.5))))));
}

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. Initial program 12.6
    \[\]
  2. Simplified8.4
    \[\leadsto \]
  3. Using strategy rm
  4. Applied associate-/r*8.4
    \[\leadsto \]
  5. Final simplification8.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(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))