Average Error: 20.0 → 20.0
Time: 3.9s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (2.0 * ((double) sqrt(((double) (((double) (((double) (x * y)) + ((double) (x * z)))) + ((double) (y * z))))))));
}

↓
double code(double x, double y, double z) {
	return ((double) (2.0 * ((double) sqrt(((double) (((double) (x * ((double) (y + z)))) + ((double) (y * 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
Original20.0
Target19.0
Herbie20.0
\[\]
Derivation
  1. Initial program 20.0
    \[\]
  2. Simplified20.0
    \[\leadsto \]
  3. Using strategy rm
  4. Applied distribute-lft-in20.0
    \[\leadsto \]
  5. Applied associate-+r+20.0
    \[\leadsto \]
  6. Simplified20.0
    \[\leadsto \]
  7. Final simplification20.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5"
  :precision binary64

  :herbie-target
  (if (< z 7.636950090573675e+176) (* 2.0 (sqrt (+ (* (+ x y) z) (* x y)))) (* (* (+ (* 0.25 (* (* (pow y -0.75) (* (pow z -0.75) x)) (+ y z))) (* (pow z 0.25) (pow y 0.25))) (+ (* 0.25 (* (* (pow y -0.75) (* (pow z -0.75) x)) (+ y z))) (* (pow z 0.25) (pow y 0.25)))) 2.0))

  (* 2.0 (sqrt (+ (+ (* x y) (* x z)) (* y z)))))