Average Error: 7.8 → 1.6
Time: 7.0s
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) (((double) (x * y)) - ((double) (z * t)))) / a)) <= -inf.0)) {
		VAR = ((double) (((double) (x * ((double) (y / a)))) - ((double) (((double) sqrt(((double) (z * ((double) (t / a)))))) * ((double) sqrt(((double) (z * ((double) (t / a))))))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (((double) (x * y)) - ((double) (z * t)))) / a)) <= 7.935708403600279e+291)) {
			VAR_1 = ((double) (((double) (((double) (x * y)) - ((double) (z * t)))) / a));
		} else {
			VAR_1 = ((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))))));
		}
		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
Target6.3
Herbie1.6
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (/ (- (* x y) (* z t)) a)  < -inf.0
    1. Initial program 64.0
      \[\]
    2. Using strategy rm
    3. Applied div-sub64.0
      \[\leadsto \]
    4. Simplified31.6
      \[\leadsto \]
    5. Simplified0.3
      \[\leadsto \]
    6. Using strategy rm
    7. Applied add-sqr-sqrt9.4
      \[\leadsto \]
    if -inf.0 <  (/ (- (* x y) (* z t)) a)  < 7.9357084036002786e291
    1. Initial program 0.9
      \[\]
    if 7.9357084036002786e291 <  (/ (- (* x y) (* z t)) a) 
    1. Initial program 53.2
      \[\]
    2. Using strategy rm
    3. Applied div-sub53.2
      \[\leadsto \]
    4. Simplified30.3
      \[\leadsto \]
    5. Simplified4.2
      \[\leadsto \]
    6. Using strategy rm
    7. Applied add-cube-cbrt4.7
      \[\leadsto \]
    8. Applied associate-*r*4.7
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification1.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(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))