Average Error: 0.2 → 0.3
Time: 7.2s
Precision: binary64
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\[\]
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) log(((double) sqrt(((double) (x + y)))))) + ((double) (((double) (((double) (((double) (a - 0.5)) * ((double) log(t)))) - t)) + ((double) (((double) log(((double) sqrt(((double) (x + y)))))) + ((double) log(z))))))));
}

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

Original0.2
Target0.3
Herbie0.3
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Derivation

  1. Initial program 0.2

    \[\]
  2. Simplified0.3

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt0.3

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

    \[\leadsto \]
  6. Applied associate-+l+0.3

    \[\leadsto \]
  7. Simplified0.3

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(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))))