Average Error: 0.3 → 0.3
Time: 5.9s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (((double) (((double) (((double) log(((double) (x + y)))) + ((double) log(z)))) - t)) + ((double) (((double) (a - 0.5)) * ((double) log(t))))));
}
double code(double x, double y, double z, double t, double a) {
	return ((double) (((double) (((double) (((double) log(((double) (x + y)))) + ((double) log(z)))) - t)) + ((double) (((double) (((double) (a - 0.5)) * ((double) (2.0 * ((double) (((double) log(((double) cbrt(t)))) + ((double) log(((double) cbrt(((double) cbrt(t)))))))))))) + ((double) (((double) (a - 0.5)) * ((double) log(((double) cbrt(((double) cbrt(t))))))))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\]

Derivation

  1. Initial program 0.3

    \[\]
  2. Using strategy rm
  3. Applied add-cube-cbrt0.3

    \[\leadsto \]
  4. Applied log-prod0.3

    \[\leadsto \]
  5. Applied distribute-lft-in0.3

    \[\leadsto \]
  6. Simplified0.3

    \[\leadsto \]
  7. Using strategy rm
  8. Applied add-cube-cbrt0.3

    \[\leadsto \]
  9. Applied log-prod0.3

    \[\leadsto \]
  10. Applied distribute-lft-in0.3

    \[\leadsto \]
  11. Applied associate-+r+0.3

    \[\leadsto \]
  12. Simplified0.3

    \[\leadsto \]
  13. Final simplification0.3

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z t a)
  :name "Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

  (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t))))