Average Error: 1.7 → 0.2
Time: 3.1s
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 <= -5.149022378476186e+25) || !(x <= 6.341739807671227e-72))) {
		VAR = ((double) fabs(((double) (((double) (((double) (x + 4.0)) / y)) - ((double) (x * ((double) (z / y))))))));
	} else {
		VAR = ((double) fabs(((double) (((double) (x + ((double) (4.0 - ((double) (x * 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

Derivation

  1. Split input into 2 regimes
  2. if x < -5.14902237847618558e25 or 6.34173980767122701e-72 < x

    1. Initial program 0.4

      \[\]
    2. Using strategy rm
    3. Applied div-inv0.4

      \[\leadsto \]
    4. Applied associate-*l*0.3

      \[\leadsto \]
    5. Simplified0.3

      \[\leadsto \]

    if -5.14902237847618558e25 < x < 6.34173980767122701e-72

    1. Initial program 2.6

      \[\]
    2. Simplified0.1

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y z)
  :name "fabs fraction 1"
  :precision binary64
  (fabs (- (/ (+ x 4.0) y) (* (/ x y) z))))