Average Error: 12.6 → 10.6
Time: 16.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	return ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (t * a)))))) - ((double) (b * ((double) (((double) (c * z)) - ((double) (t * i)))))))) + ((double) (j * ((double) (((double) (c * a)) - ((double) (y * i))))))));
}

↓
double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double VAR;
	if ((a <= -1.1799778320271604e-37)) {
		VAR = ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (a * t)))))) + ((double) (b * ((double) (((double) (t * i)) - ((double) (z * c)))))))) + ((double) (((double) (a * ((double) (c * j)))) - ((double) (y * ((double) (i * j))))))));
	} else {
		double VAR_1;
		if ((a <= -3.179959350170305e-281)) {
			VAR_1 = ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (a * t)))))) + ((double) (((double) (t * ((double) (b * i)))) - ((double) (z * ((double) (b * c)))))))) + ((double) (j * ((double) (((double) (a * c)) - ((double) (y * i))))))));
		} else {
			double VAR_2;
			if ((a <= 2.3502760720612682e-204)) {
				VAR_2 = ((double) (((double) (j * ((double) (((double) (a * c)) - ((double) (y * i)))))) + ((double) (((double) (((double) cbrt(((double) (x * ((double) (((double) (y * z)) - ((double) (a * t)))))))) * ((double) (((double) cbrt(((double) (x * ((double) (((double) (y * z)) - ((double) (a * t)))))))) * ((double) (((double) cbrt(x)) * ((double) cbrt(((double) (((double) (y * z)) - ((double) (a * t)))))))))))) + ((double) (b * ((double) (((double) (t * i)) - ((double) (z * c))))))))));
			} else {
				double VAR_3;
				if ((a <= 0.049954607068458674)) {
					VAR_3 = ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (a * t)))))) + ((double) (((double) (t * ((double) (b * i)))) - ((double) (z * ((double) (b * c)))))))) + ((double) (j * ((double) (((double) (a * c)) - ((double) (y * i))))))));
				} else {
					VAR_3 = ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (a * t)))))) + ((double) (b * ((double) (((double) (t * i)) - ((double) (z * c)))))))) + ((double) (((double) (a * ((double) (c * j)))) - ((double) (y * ((double) (i * j))))))));
				}
				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
Bits error versus b
Bits error versus c
Bits error versus i
Bits error versus j
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original12.6
Target19.8
Herbie10.6
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  a  < -1.1799778320271604e-37 or 0.0499546070684586743 <  a 
    1. Initial program 16.9
      \[\]
    2. Using strategy rm
    3. Applied sub-neg16.9
      \[\leadsto \]
    4. Applied distribute-lft-in16.9
      \[\leadsto \]
    5. Simplified13.2
      \[\leadsto \]
    6. Simplified12.6
      \[\leadsto \]
    if -1.1799778320271604e-37 <  a  < -3.1799593501703053e-281 or 2.3502760720612682e-204 <  a  < 0.0499546070684586743
    1. Initial program 9.0
      \[\]
    2. Using strategy rm
    3. Applied sub-neg9.0
      \[\leadsto \]
    4. Applied distribute-lft-in9.0
      \[\leadsto \]
    5. Simplified9.3
      \[\leadsto \]
    6. Simplified8.8
      \[\leadsto \]
    if -3.1799593501703053e-281 <  a  < 2.3502760720612682e-204
    1. Initial program 9.9
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt10.1
      \[\leadsto \]
    4. Using strategy rm
    5. Applied cbrt-prod10.1
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification10.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t a b c i j)
  :name "Data.Colour.Matrix:determinant from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (if (< x -1.469694296777705e-64) (+ (- (* x (- (* y z) (* t a))) (/ (* b (- (pow (* c z) 2.0) (pow (* t i) 2.0))) (+ (* c z) (* t i)))) (* j (- (* c a) (* y i)))) (if (< x 3.2113527362226803e-147) (- (* (- (* b i) (* x a)) t) (- (* z (* c b)) (* j (- (* c a) (* y i))))) (+ (- (* x (- (* y z) (* t a))) (/ (* b (- (pow (* c z) 2.0) (pow (* t i) 2.0))) (+ (* c z) (* t i)))) (* j (- (* c a) (* y i))))))

  (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i)))))