Average Error: 7.5 → 4.1
Time: 4.7s
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 <= -1.1479606974581171e+85) || !(z <= 2.78190652179429e+159))) {
		VAR = ((double) (((double) (x + ((double) (y / t)))) / ((double) (x + 1.0))));
	} else {
		VAR = ((double) (((double) (x + ((double) (((double) (((double) cbrt(((double) (((double) (z * y)) - x)))) * ((double) cbrt(((double) (((double) (z * y)) - x)))))) * ((double) (((double) cbrt(((double) (((double) (z * y)) - x)))) / ((double) (((double) (z * t)) - x)))))))) / ((double) (x + 1.0))));
	}
	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
Target0.4
Herbie4.1
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  z  < -1.14796069745811711e85 or 2.78190652179428984e159 <  z 
    1. Initial program 20.3
      \[\]
    2. Taylor expanded around inf 7.9
      \[\leadsto \]
    if -1.14796069745811711e85 <  z  < 2.78190652179428984e159
    1. Initial program 1.9
      \[\]
    2. Using strategy rm
    3. Applied *-un-lft-identity1.9
      \[\leadsto \]
    4. Applied add-cube-cbrt2.4
      \[\leadsto \]
    5. Applied times-frac2.4
      \[\leadsto \]
    6. Simplified2.4
      \[\leadsto \]
    7. Simplified2.4
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification4.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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)))