Average Error: 6.7 → 6.6
Time: 4.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (1.0 / x)) / ((double) (y * ((double) (1.0 + ((double) (z * z))))))));
}

↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (1.0 / x)) / y)) / ((double) (1.0 + ((double) (z * 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
Original6.7
Target6.0
Herbie6.6
\[\]
Derivation
  1. Initial program 6.7
    \[\]
  2. Using strategy rm
  3. Applied associate-/r*6.6
    \[\leadsto \]
  4. Simplified6.8
    \[\leadsto \]
  5. Using strategy rm
  6. Applied associate-/r*6.6
    \[\leadsto \]
  7. Final simplification6.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (if (< (* y (+ 1.0 (* z z))) (- INFINITY)) (/ (/ 1.0 y) (* (+ 1.0 (* z z)) x)) (if (< (* y (+ 1.0 (* z z))) 8.680743250567252e+305) (/ (/ 1.0 x) (* (+ 1.0 (* z z)) y)) (/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))))

  (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))