Average Error: 6.6 → 2.0
Time: 3.1s
Precision: binary64
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\[\]
double code(double x, double y, double z) {
	return ((double) (((double) (x * y)) / z));
}
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (((double) cbrt(y)) * ((double) (((double) cbrt(y)) / ((double) (((double) cbrt(z)) * ((double) cbrt(z)))))))))) * ((double) (((double) cbrt(y)) / ((double) cbrt(z))))));
}

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

Original6.6
Target6.1
Herbie2.0
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Derivation

  1. Initial program 6.6

    \[\]
  2. Simplified6.0

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt6.8

    \[\leadsto \]
  5. Applied add-cube-cbrt7.0

    \[\leadsto \]
  6. Applied times-frac7.0

    \[\leadsto \]
  7. Applied associate-*r*2.0

    \[\leadsto \]
  8. Simplified2.0

    \[\leadsto \]
  9. Final simplification2.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x y z)
  :name "Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A"
  :precision binary64

  :herbie-target
  (if (< z -4.262230790519429e-138) (/ (* x y) z) (if (< z 1.7042130660650472e-164) (/ x (/ z y)) (* (/ x z) y)))

  (/ (* x y) z))