Average Error: 7.7 → 5.3
Time: 5.5s
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) (x * y)) <= -2.9710752032757204e+75)) {
		VAR = ((double) (((double) (y * ((double) (x / ((double) (a * 2.0)))))) - ((double) (((double) (9.0 * ((double) (t / a)))) * ((double) (z / 2.0))))));
	} else {
		double VAR_1;
		if ((((double) (x * y)) <= -1.441855701961825e-72)) {
			VAR_1 = ((double) (((double) (((double) (x * y)) - ((double) (9.0 * ((double) (t * z)))))) / ((double) (a * 2.0))));
		} else {
			double VAR_2;
			if ((((double) (x * y)) <= 3.19291229011511e-90)) {
				VAR_2 = ((double) (((double) (y * ((double) (x / ((double) (a * 2.0)))))) - ((double) (9.0 * ((double) (t * ((double) (z / ((double) (a * 2.0))))))))));
			} else {
				double VAR_3;
				if ((((double) (x * y)) <= 4.466868290700456e+162)) {
					VAR_3 = ((double) (((double) (((double) (x * y)) - ((double) (9.0 * ((double) (t * z)))))) / ((double) (a * 2.0))));
				} else {
					VAR_3 = ((double) (((double) (y * ((double) (x / ((double) (a * 2.0)))))) - ((double) (((double) (9.0 * ((double) (t / a)))) * ((double) (z / 2.0))))));
				}
				VAR_2 = VAR_3;
			}
			VAR_1 = VAR_2;
		}
		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
Original7.7
Target5.7
Herbie5.3
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (* x y)  < -2.9710752032757204e75 or 4.4668682907004558e162 <  (* x y) 
    1. Initial program 18.6
      \[\]
    2. Simplified18.6
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-sub18.6
      \[\leadsto \]
    5. Simplified7.9
      \[\leadsto \]
    6. Simplified4.3
      \[\leadsto \]
    7. Using strategy rm
    8. Applied *-un-lft-identity4.3
      \[\leadsto \]
    9. Applied times-frac4.3
      \[\leadsto \]
    10. Applied associate-*r*4.2
      \[\leadsto \]
    11. Simplified4.2
      \[\leadsto \]
    if -2.9710752032757204e75 <  (* x y)  < -1.44185570196182512e-72 or 3.1929122901151098e-90 <  (* x y)  < 4.4668682907004558e162
    1. Initial program 3.8
      \[\]
    2. Simplified3.7
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-sub3.8
      \[\leadsto \]
    5. Simplified12.0
      \[\leadsto \]
    6. Simplified11.8
      \[\leadsto \]
    7. Using strategy rm
    8. Applied associate-*r/12.0
      \[\leadsto \]
    9. Applied associate-*r/3.8
      \[\leadsto \]
    10. Applied sub-div3.7
      \[\leadsto \]
    11. Simplified3.8
      \[\leadsto \]
    if -1.44185570196182512e-72 <  (* x y)  < 3.1929122901151098e-90
    1. Initial program 5.1
      \[\]
    2. Simplified5.1
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-sub5.1
      \[\leadsto \]
    5. Simplified5.8
      \[\leadsto \]
    6. Simplified7.1
      \[\leadsto \]
    7. Using strategy rm
    8. Applied associate-*l*7.1
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification5.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(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)))