Average Error: 20.3 → 20.3
Time: 4.3s
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 * y)) + ((double) (z * ((double) (x + y))))))))));
}

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
Original20.3
Target19.4
Herbie20.3
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Derivation
  1. Initial program 20.3
    \[\]
  2. Simplified20.3
    \[\leadsto \]
  3. Final simplification20.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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)))))