Average Error: 12.4 → 1.1
Time: 2.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (y - z)))) / y));
}

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

Error
Bits error versus x
Bits error versus y
Bits error versus z
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Results
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Target
Original12.4
Target3.3
Herbie1.1
\[\]
Derivation
  1. Initial program 12.4
    \[\]
  2. Simplified3.5
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt3.8
    \[\leadsto \]
  5. Applied add-cube-cbrt3.9
    \[\leadsto \]
  6. Applied times-frac3.9
    \[\leadsto \]
  7. Applied associate-*r*1.1
    \[\leadsto \]
  8. Simplified1.1
    \[\leadsto \]
  9. Final simplification1.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z)
  :name "Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3"
  :precision binary64

  :herbie-target
  (if (< z -2.060202331921739e+104) (- x (/ (* z x) y)) (if (< z 1.6939766013828526e+213) (/ x (/ y (- y z))) (* (- y z) (/ x y))))

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