Average Error: 12.7 → 2.0
Time: 6.7s
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) pow(r, -2.0)))) + ((double) (((double) (((double) (((double) cbrt(r)) * ((double) cbrt(r)))) * ((double) (((double) (r * w)) * ((double) (((double) (w * ((double) (((double) (0.125 / ((double) (1.0 - v)))) * ((double) (((double) (2.0 * v)) - 3.0)))))) * ((double) (((double) cbrt(((double) (((double) cbrt(r)) * ((double) cbrt(r)))))) * ((double) cbrt(((double) cbrt(r)))))))))))) - 4.5))))));
}

Error
Bits error versus v
Bits error versus w
Bits error versus r
Try it out
Your Program's Arguments
Results
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Derivation
  1. Initial program 12.7
    \[\]
  2. Simplified8.7
    \[\leadsto \]
  3. Using strategy rm
  4. Applied associate-*r*2.5
    \[\leadsto \]
  5. Using strategy rm
  6. Applied add-cube-cbrt2.7
    \[\leadsto \]
  7. Applied associate-*l*2.7
    \[\leadsto \]
  8. Simplified2.0
    \[\leadsto \]
  9. Using strategy rm
  10. Applied add-cube-cbrt2.1
    \[\leadsto \]
  11. Applied cbrt-prod2.1
    \[\leadsto \]
  12. Using strategy rm
  13. Applied div-inv2.1
    \[\leadsto \]
  14. Simplified2.0
    \[\leadsto \]
  15. Final simplification2.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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))