Average Error: 10.4 → 0.0
Time: 2.4s
Precision: binary64
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double code(double x, double y, double z) {
	return ((double) (((double) (x + ((double) (y * ((double) (z - x)))))) / z));
}
double code(double x, double y, double z) {
	return ((double) (y - ((double) (((double) (x / z)) * ((double) (y - 1.0))))));
}

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

Original10.4
Target0.0
Herbie0.0
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Derivation

  1. Initial program 10.4

    \[\]
  2. Taylor expanded around 0 3.5

    \[\leadsto \]
  3. Simplified3.5

    \[\leadsto \]
  4. Using strategy rm
  5. Applied div-sub3.5

    \[\leadsto \]
  6. Simplified3.6

    \[\leadsto \]
  7. Taylor expanded around 0 3.5

    \[\leadsto \]
  8. Simplified0.0

    \[\leadsto \]
  9. Final simplification0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3"
  :precision binary64

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

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