Average Error: 28.1 → 0.1
Time: 4.5s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (((double) (x * x)) + ((double) (y * y)))) - ((double) (z * z)))) / ((double) (y * 2.0))));
}

↓
double code(double x, double y, double z) {
	return ((double) (((double) (y / 2.0)) + ((double) (((double) (((double) (x / y)) * ((double) (x / 2.0)))) - ((double) (((double) (z / y)) * ((double) (z / 2.0))))))));
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Try it out
Your Program's Arguments
Results
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Target
Original28.1
Target0.2
Herbie0.1
\[\]
Derivation
  1. Initial program 28.1
    \[\]
  2. Simplified0.1
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt1.3
    \[\leadsto \]
  5. Applied associate-/r*0.9
    \[\leadsto \]
  6. Taylor expanded around 0 13.4
    \[\leadsto \]
  7. Simplified0.1
    \[\leadsto \]
  8. Final simplification0.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z)
  :name "Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A"
  :precision binary64

  :herbie-target
  (- (* y 0.5) (* (* (/ 0.5 y) (+ z x)) (- z x)))

  (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)))