Average Error: 7.4 → 0.3
Time: 9.0s
Precision: binary64
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\[\]
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (((double) (x - 1.0)) * ((double) log(y)))) + ((double) (((double) (z - 1.0)) * ((double) log(((double) (1.0 - y)))))))) - t));
}
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (((double) (x - 1.0)) * ((double) log(y)))) + ((double) (((double) (z - 1.0)) * ((double) (((double) log(1.0)) + ((double) (((double) (((double) (((double) (y / 1.0)) * ((double) (y / 1.0)))) * -0.5)) - ((double) (1.0 * y)))))))))) - t));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.4

    \[\]
  2. Taylor expanded around 0 0.3

    \[\leadsto \]
  3. Simplified0.3

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y z t)
  :name "Statistics.Distribution.Beta:$cdensity from math-functions-0.1.5.2"
  :precision binary64
  (- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t))