Average Error: 12.6 → 4.8
Time: 8.2s
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 (((r <= -4.610439283106684e-68) || !(r <= 1.0599308933428764e-60))) {
		VAR = ((double) (3.0 + ((double) (((double) (2.0 / ((double) (r * r)))) - ((double) (((double) (((double) cbrt(r)) * ((double) (r * ((double) (0.125 * ((double) (((double) cbrt(r)) * ((double) (w * ((double) (w * ((double) (((double) cbrt(r)) * ((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) (r * ((double) log(((double) pow(((double) exp(r)), ((double) (0.125 * ((double) (((double) (((double) (3.0 - ((double) (2.0 * v)))) / ((double) (1.0 - v)))) * ((double) (w * w))))))))))))))))));
	}
	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  r  < -4.61043928310668405e-68 or 1.0599308933428764e-60 <  r 
    1. Initial program 12.1
      \[\]
    2. Simplified6.5
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt6.8
      \[\leadsto \]
    5. Applied associate-*l*6.8
      \[\leadsto \]
    6. Simplified6.8
      \[\leadsto \]
    7. Using strategy rm
    8. Applied associate-*l*6.8
      \[\leadsto \]
    9. Simplified4.1
      \[\leadsto \]
    if -4.61043928310668405e-68 <  r  < 1.0599308933428764e-60
    1. Initial program 13.8
      \[\]
    2. Simplified13.4
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt13.4
      \[\leadsto \]
    5. Applied associate-*l*13.4
      \[\leadsto \]
    6. Simplified13.4
      \[\leadsto \]
    7. Using strategy rm
    8. Applied add-log-exp24.3
      \[\leadsto \]
    9. Simplified6.3
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification4.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(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))