Average Error: 3.7 → 1.1
Time: 7.4s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (((double) (x * 2.0)) - ((double) (((double) (((double) (y * 9.0)) * z)) * t)))) + ((double) (((double) (a * 27.0)) * b))));
}

↓
double code(double x, double y, double z, double t, double a, double b) {
	double VAR;
	if ((((double) (y * 9.0)) <= -2.8706296611042308e-136)) {
		VAR = ((double) (((double) (((double) (x * 2.0)) - ((double) (((double) cbrt(t)) * ((double) (y * ((double) (9.0 * ((double) (z * ((double) (((double) cbrt(t)) * ((double) cbrt(t)))))))))))))) + ((double) (((double) (a * 27.0)) * b))));
	} else {
		double VAR_1;
		if ((((double) (y * 9.0)) <= 2.3367933544067383e-47)) {
			VAR_1 = ((double) (((double) (((double) (x * 2.0)) - ((double) (t * ((double) (((double) (y * 9.0)) * z)))))) + ((double) (a * ((double) (27.0 * b))))));
		} else {
			VAR_1 = ((double) (((double) (((double) (a * 27.0)) * b)) + ((double) (((double) (x * 2.0)) - ((double) (((double) (y * 9.0)) * ((double) (z * t))))))));
		}
		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
Bits error versus b
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original3.7
Target2.7
Herbie1.1
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (* y 9.0)  < -2.87062966110423079e-136
    1. Initial program 5.3
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt5.6
      \[\leadsto \]
    4. Applied associate-*r*5.6
      \[\leadsto \]
    5. Simplified1.9
      \[\leadsto \]
    if -2.87062966110423079e-136 <  (* y 9.0)  < 2.33679335440673827e-47
    1. Initial program 0.7
      \[\]
    2. Using strategy rm
    3. Applied associate-*l*0.7
      \[\leadsto \]
    if 2.33679335440673827e-47 <  (* y 9.0) 
    1. Initial program 6.7
      \[\]
    2. Using strategy rm
    3. Applied associate-*l*0.8
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification1.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t a b)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, A"
  :precision binary64

  :herbie-target
  (if (< y 7.590524218811189e-161) (+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b))) (+ (- (* x 2.0) (* 9.0 (* y (* t z)))) (* (* a 27.0) b)))

  (+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b)))