Average Error: 7.0 → 3.6
Time: 4.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x + ((double) (((double) (((double) (y * z)) - x)) / ((double) (((double) (t * z)) - x)))))) / ((double) (x + 1.0))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((z <= -34.0409337410441)) {
		VAR = ((double) (((double) (x + ((double) (((double) (z * ((double) (y / ((double) (((double) (z * t)) - x)))))) - ((double) (x / ((double) (((double) (z * t)) - x)))))))) / ((double) (x + 1.0))));
	} else {
		double VAR_1;
		if ((z <= 8.932110384793056e+18)) {
			VAR_1 = ((double) (((double) (x + ((double) (1.0 / ((double) (((double) (((double) (z * t)) - x)) / ((double) (((double) (z * y)) - x)))))))) / ((double) (x + 1.0))));
		} else {
			VAR_1 = ((double) (((double) (x + ((double) (y / t)))) / ((double) (x + 1.0))));
		}
		VAR = VAR_1;
	}
	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
Original7.0
Target0.4
Herbie3.6
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  z  < -34.0409337410441
    1. Initial program 14.4
      \[\]
    2. Using strategy rm
    3. Applied div-sub14.4
      \[\leadsto \]
    4. Simplified5.7
      \[\leadsto \]
    5. Simplified5.7
      \[\leadsto \]
    if -34.0409337410441 <  z  < 8932110384793056260
    1. Initial program 0.1
      \[\]
    2. Using strategy rm
    3. Applied clear-num0.1
      \[\leadsto \]
    4. Simplified0.1
      \[\leadsto \]
    if 8932110384793056260 <  z 
    1. Initial program 15.0
      \[\]
    2. Taylor expanded around inf 9.4
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification3.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z t)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, A"
  :precision binary64

  :herbie-target
  (/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))

  (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))