Average Error: 8.0 → 1.5
Time: 6.9s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (((double) (((double) (x * y)) - ((double) (((double) (z * 9.0)) * t)))) / ((double) (a * 2.0))));
}

↓
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((((double) (((double) (x * y)) - ((double) (((double) (z * 9.0)) * t)))) <= -2.3387147294494264e+233)) {
		VAR = ((double) (((double) (0.5 * ((double) (y * ((double) (x / a)))))) - ((double) (4.5 * ((double) (z * ((double) (t / a))))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (x * y)) - ((double) (((double) (z * 9.0)) * t)))) <= 9.153501567716266e+109)) {
			VAR_1 = ((double) (((double) (((double) (x * y)) - ((double) (((double) (z * 9.0)) * t)))) / ((double) (a * 2.0))));
		} else {
			VAR_1 = ((double) (((double) (((double) (y / a)) * ((double) (x / 2.0)))) - ((double) (t * ((double) (((double) (z / a)) * ((double) (9.0 / 2.0))))))));
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Bits error versus a
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original8.0
Target5.7
Herbie1.5
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (- (* x y) (* (* z 9.0) t))  < -2.3387147294494264e233
    1. Initial program 35.1
      \[\]
    2. Taylor expanded around 0 34.6
      \[\leadsto \]
    3. Simplified0.9
      \[\leadsto \]
    if -2.3387147294494264e233 <  (- (* x y) (* (* z 9.0) t))  < 9.15350156771626603e109
    1. Initial program 0.9
      \[\]
    if 9.15350156771626603e109 <  (- (* x y) (* (* z 9.0) t)) 
    1. Initial program 18.4
      \[\]
    2. Using strategy rm
    3. Applied div-sub18.4
      \[\leadsto \]
    4. Simplified11.6
      \[\leadsto \]
    5. Simplified4.2
      \[\leadsto \]
    6. Using strategy rm
    7. Applied *-un-lft-identity4.2
      \[\leadsto \]
    8. Applied times-frac4.1
      \[\leadsto \]
    9. Applied associate-*r*3.6
      \[\leadsto \]
    10. Simplified3.6
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification1.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t a)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, I"
  :precision binary64

  :herbie-target
  (if (< a -2.090464557976709e+86) (- (* 0.5 (/ (* y x) a)) (* 4.5 (/ t (/ a z)))) (if (< a 2.144030707833976e+99) (/ (- (* x y) (* z (* 9.0 t))) (* a 2.0)) (- (* (/ y a) (* x 0.5)) (* (/ t a) (* z 4.5)))))

  (/ (- (* x y) (* (* z 9.0) t)) (* a 2.0)))