Average Error: 0.1 → 0.1
Time: 4.9s
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) sqrt(((double) (a - ((double) (1.0 / 3.0)))))) * ((double) (rand / ((double) sqrt(9.0))))))))));
}

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 distribute-lft-in0.1
    \[\leadsto \]
  5. Simplified0.1
    \[\leadsto \]
  6. Using strategy rm
  7. Applied sqrt-prod0.1
    \[\leadsto \]
  8. Applied *-un-lft-identity0.1
    \[\leadsto \]
  9. Applied times-frac0.1
    \[\leadsto \]
  10. Applied associate-*r*0.1
    \[\leadsto \]
  11. Simplified0.1
    \[\leadsto \]
  12. Using strategy rm
  13. Applied *-un-lft-identity0.1
    \[\leadsto \]
  14. Applied sqrt-prod0.1
    \[\leadsto \]
  15. Applied *-un-lft-identity0.1
    \[\leadsto \]
  16. Applied times-frac0.1
    \[\leadsto \]
  17. Applied associate-*r*0.1
    \[\leadsto \]
  18. Simplified0.1
    \[\leadsto \]
  19. Final simplification0.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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))))