Average Error: 7.5 → 2.2
Time: 4.2s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t) {
	return ((double) (x / ((double) (((double) (y - z)) * ((double) (t - z))))));
}
double code(double x, double y, double z, double t) {
	double VAR;
	if (((z <= -7.683848528630963e-258) || !(z <= 9.196886338097272e-261))) {
		VAR = ((double) (((double) (x / ((double) (t - z)))) / ((double) (y - z))));
	} else {
		VAR = ((double) (x / ((double) (((double) (t - z)) * ((double) (y - z))))));
	}
	return VAR;
}

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

Target

Original7.5
Target8.4
Herbie2.2
\[\]

Derivation

  1. Split input into 2 regimes
  2. if z < -7.68384852863096308e-258 or 9.19688633809727201e-261 < z

    1. Initial program 7.6

      \[\]
    2. Using strategy rm
    3. Applied *-un-lft-identity7.6

      \[\leadsto \]
    4. Applied times-frac1.9

      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-*l/1.9

      \[\leadsto \]
    7. Simplified1.9

      \[\leadsto \]

    if -7.68384852863096308e-258 < z < 9.19688633809727201e-261

    1. Initial program 5.9

      \[\]
  3. Recombined 2 regimes into one program.
  4. Final simplification2.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, B"
  :precision binary64

  :herbie-target
  (if (< (/ x (* (- y z) (- t z))) 0.0) (/ (/ x (- y z)) (- t z)) (* x (/ 1.0 (* (- y z) (- t z)))))

  (/ x (* (- y z) (- t z))))