Average Error: 7.8 → 0.3
Time: 5.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (((double) (((double) (x * y)) - ((double) (z * t)))) / a));
}

↓
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((((double) (((double) (x * y)) - ((double) (z * t)))) <= -inf.0)) {
		VAR = ((double) (((double) (((double) (((double) cbrt(x)) * ((double) cbrt(x)))) * ((double) (((double) cbrt(x)) * ((double) (y / a)))))) - ((double) (z * ((double) (t / a))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (x * y)) - ((double) (z * t)))) <= -8.077664038446855e-289)) {
			VAR_1 = ((double) (((double) (((double) (x * y)) - ((double) (z * t)))) / a));
		} else {
			double VAR_2;
			if ((((double) (((double) (x * y)) - ((double) (z * t)))) <= 4.2562334224709e-313)) {
				VAR_2 = ((double) (((double) (((double) cbrt(((double) (y / a)))) * ((double) (x * ((double) (((double) cbrt(((double) (y / a)))) * ((double) cbrt(((double) (y / a)))))))))) - ((double) (z * ((double) (t / a))))));
			} else {
				double VAR_3;
				if ((((double) (((double) (x * y)) - ((double) (z * t)))) <= 8.91888396587549e+301)) {
					VAR_3 = ((double) (((double) (((double) (x * y)) - ((double) (z * t)))) / a));
				} else {
					VAR_3 = ((double) (((double) (((double) (((double) cbrt(x)) * ((double) cbrt(x)))) * ((double) (((double) cbrt(x)) * ((double) (y / a)))))) - ((double) (z * ((double) (t / a))))));
				}
				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
Original7.8
Target6.0
Herbie0.3
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (- (* x y) (* z t))  < -inf.0 or 8.91888396587549022e301 <  (- (* x y) (* z t)) 
    1. Initial program 62.2
      \[\]
    2. Using strategy rm
    3. Applied div-sub62.2
      \[\leadsto \]
    4. Simplified33.7
      \[\leadsto \]
    5. Simplified0.3
      \[\leadsto \]
    6. Using strategy rm
    7. Applied add-cube-cbrt0.8
      \[\leadsto \]
    8. Applied associate-*l*0.8
      \[\leadsto \]
    9. Simplified0.8
      \[\leadsto \]
    if -inf.0 <  (- (* x y) (* z t))  < -8.0776640384468552e-289 or 4.2562334224709e-313 <  (- (* x y) (* z t))  < 8.91888396587549022e301
    1. Initial program 0.3
      \[\]
    if -8.0776640384468552e-289 <  (- (* x y) (* z t))  < 4.2562334224709e-313
    1. Initial program 19.0
      \[\]
    2. Using strategy rm
    3. Applied div-sub19.0
      \[\leadsto \]
    4. Simplified8.5
      \[\leadsto \]
    5. Simplified0.1
      \[\leadsto \]
    6. Using strategy rm
    7. Applied add-cube-cbrt0.4
      \[\leadsto \]
    8. Applied associate-*r*0.3
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y z t a)
  :name "Data.Colour.Matrix:inverse from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (if (< z -2.468684968699548e+170) (- (* (/ y a) x) (* (/ t a) z)) (if (< z 6.309831121978371e-71) (/ (- (* x y) (* z t)) a) (- (* (/ y a) x) (* (/ t a) z))))

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