Average Error: 1.5 → 0.7
Time: 3.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) fabs(((double) (((double) (((double) (x + 4.0)) / y)) - ((double) (((double) (x / y)) * z))))));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if ((x <= -1.3266761392413531e-136)) {
		VAR = ((double) fabs(((double) (((double) (((double) (x + 4.0)) / y)) - ((double) (x * ((double) (z / y))))))));
	} else {
		double VAR_1;
		if ((x <= 1.7904176914311191e-62)) {
			VAR_1 = ((double) fabs(((double) (((double) (x + ((double) (4.0 - ((double) (x * z)))))) / y))));
		} else {
			VAR_1 = ((double) fabs(((double) (((double) (4.0 / y)) + ((double) (((double) (x / y)) * ((double) (1.0 - z))))))));
		}
		VAR = VAR_1;
	}
	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
Derivation
  1. Split input into 3 regimes
  2. if  x  < -1.3266761392413531e-136
    1. Initial program 0.7
      \[\]
    2. Simplified1.5
      \[\leadsto \]
    if -1.3266761392413531e-136 <  x  < 1.7904176914311191e-62
    1. Initial program 2.6
      \[\]
    2. Using strategy rm
    3. Applied associate-*l/0.1
      \[\leadsto \]
    4. Applied sub-div0.0
      \[\leadsto \]
    5. Simplified0.0
      \[\leadsto \]
    if 1.7904176914311191e-62 <  x 
    1. Initial program 0.6
      \[\]
    2. Taylor expanded around 0 7.4
      \[\leadsto \]
    3. Simplified0.6
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y z)
  :name "fabs fraction 1"
  :precision binary64
  (fabs (- (/ (+ x 4.0) y) (* (/ x y) z))))