Average Error: 13.0 → 1.0
Time: 3.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (y + z)))) / z));
}

↓
double code(double x, double y, double z) {
	return ((double) (x + ((double) (((double) (x * ((double) (((double) cbrt(y)) * ((double) (((double) cbrt(y)) / ((double) (((double) cbrt(z)) * ((double) cbrt(z)))))))))) * ((double) (((double) cbrt(y)) / ((double) cbrt(z))))))));
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original13.0
Target2.9
Herbie1.0
\[\]
Derivation
  1. Initial program 13.0
    \[\]
  2. Simplified3.2
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt3.6
    \[\leadsto \]
  5. Applied add-cube-cbrt3.7
    \[\leadsto \]
  6. Applied times-frac3.7
    \[\leadsto \]
  7. Applied associate-*r*1.0
    \[\leadsto \]
  8. Simplified1.0
    \[\leadsto \]
  9. Final simplification1.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:choose from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (/ x (/ z (+ y z)))

  (/ (* x (+ y z)) z))