Average Error: 13.1 → 1.6
Time: 2.6s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (y - z)))) / y));
}
double code(double x, double y, double z) {
	double VAR;
	if (((((double) (((double) (x * ((double) (y - z)))) / y)) <= 7.191604516654314e+102) || !(((double) (((double) (x * ((double) (y - z)))) / y)) <= 3.2100110135496717e+307))) {
		VAR = ((double) (x / ((double) (y / ((double) (y - z))))));
	} else {
		VAR = ((double) (((double) (x * ((double) (y - z)))) / y));
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original13.1
Target3.3
Herbie1.6
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (/ (* x (- y z)) y) < 7.1916045166543145e102 or 3.2100110135496717e307 < (/ (* x (- y z)) y)

    1. Initial program 15.0

      \[\]
    2. Using strategy rm
    3. Applied associate-/l*1.8

      \[\leadsto \]

    if 7.1916045166543145e102 < (/ (* x (- y z)) y) < 3.2100110135496717e307

    1. Initial program 0.2

      \[\]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.6

    \[\leadsto \]

Reproduce

herbie shell --seed 2020181 
(FPCore (x y z)
  :name "Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3"
  :precision binary64

  :herbie-target
  (if (< z -2.060202331921739e+104) (- x (/ (* z x) y)) (if (< z 1.6939766013828526e+213) (/ x (/ y (- y z))) (* (- y z) (/ x y))))

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