Average Error: 0.1 → 0.1
Time: 4.3s
Precision: binary64
\[\]
\[\]
double code(double a, double rand) {
	return ((double) (((double) (a - ((double) (1.0 / 3.0)))) * ((double) (1.0 + ((double) (((double) (1.0 / ((double) sqrt(((double) (9.0 * ((double) (a - ((double) (1.0 / 3.0)))))))))) * rand))))));
}
double code(double a, double rand) {
	return ((double) (1.0 * ((double) (((double) (a - ((double) (1.0 / 3.0)))) * ((double) (((double) (rand / ((double) sqrt(((double) (((double) cbrt(9.0)) * ((double) (((double) (a - ((double) (1.0 / 3.0)))) * ((double) (((double) cbrt(9.0)) * ((double) cbrt(9.0)))))))))))) + 1.0))))));
}

Error

Bits error versus a

Bits error versus rand

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\]
  2. Simplified0.1

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt0.1

    \[\leadsto \]
  5. Applied associate-*r*0.1

    \[\leadsto \]
  6. Final simplification0.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (a rand)
  :name "Octave 3.8, oct_fill_randg"
  :precision binary64
  (* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))