Average Error: 12.6 → 0.4
Time: 6.0s
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) (2.0 / ((double) (r * r)))) + ((double) (((double) (((double) (((double) fabs(((double) (r * w)))) * ((double) fabs(((double) (r * w)))))) * ((double) (((double) (0.125 / ((double) (1.0 - v)))) * ((double) (((double) (2.0 * v)) - 3.0)))))) - 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. Simplified8.0
    \[\leadsto \]
  3. Using strategy rm
  4. Applied associate-*r*8.0
    \[\leadsto \]
  5. Using strategy rm
  6. Applied add-sqr-sqrt8.1
    \[\leadsto \]
  7. Simplified8.0
    \[\leadsto \]
  8. Simplified0.4
    \[\leadsto \]
  9. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(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))