Average Error: 9.3 → 0.9
Time: 4.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return ((double) (((double) (x * ((double) (((double) (x / y)) + 1.0)))) / ((double) (x + 1.0))));
}

↓
double code(double x, double y) {
	return ((double) (((double) cbrt(((double) (((double) (((double) (x / y)) + 1.0)) / ((double) (x + 1.0)))))) * ((double) (x * ((double) (((double) cbrt(((double) (((double) (((double) (x / y)) + 1.0)) / ((double) (x + 1.0)))))) * ((double) cbrt(((double) (((double) (((double) (x / y)) + 1.0)) / ((double) (x + 1.0))))))))))));
}

Error
Bits error versus x
Bits error versus y
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Your Program's Arguments
Results
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Target
Original9.3
Target0.1
Herbie0.9
\[\]
Derivation
  1. Initial program 9.3
    \[\]
  2. Simplified0.1
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt0.9
    \[\leadsto \]
  5. Applied associate-*r*0.9
    \[\leadsto \]
  6. Final simplification0.9
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y)
  :name "Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1"
  :precision binary64

  :herbie-target
  (* (/ x 1.0) (/ (+ (/ x y) 1.0) (+ x 1.0)))

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