Average Error: 12.0 → 10.7
Time: 13.4s
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 ((i <= -1.7241027508523938e+92)) {
		VAR = ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (t * a)))))) + ((double) (b * ((double) (((double) (i * t)) - ((double) (z * c)))))))) + ((double) (((double) (c * ((double) (a * j)))) - ((double) (i * ((double) (y * j))))))));
	} else {
		double VAR_1;
		if ((i <= -113366.18846745034)) {
			VAR_1 = ((double) (((double) (((double) (((double) (y * ((double) (x * z)))) - ((double) (a * ((double) (x * t)))))) + ((double) (((double) (((double) cbrt(b)) * ((double) cbrt(b)))) * ((double) (((double) cbrt(b)) * ((double) (((double) (i * t)) - ((double) (z * c)))))))))) + ((double) (j * ((double) (((double) (a * c)) - ((double) (i * y))))))));
		} else {
			double VAR_2;
			if ((i <= 6.209812177855934e-197)) {
				VAR_2 = ((double) (((double) (j * ((double) (((double) (a * c)) - ((double) (i * y)))))) + ((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (t * a)))))) + ((double) (((double) cbrt(((double) cbrt(b)))) * ((double) (((double) (((double) cbrt(b)) * ((double) (((double) cbrt(b)) * ((double) cbrt(((double) (((double) cbrt(b)) * ((double) cbrt(b)))))))))) * ((double) (((double) (i * t)) - ((double) (z * c))))))))))));
			} else {
				double VAR_3;
				if ((i <= 1.3065923009124668e-46)) {
					VAR_3 = ((double) (((double) (((double) (((double) (y * ((double) (x * z)))) - ((double) (a * ((double) (x * t)))))) + ((double) (((double) (((double) cbrt(b)) * ((double) cbrt(b)))) * ((double) (((double) cbrt(b)) * ((double) (((double) (i * t)) - ((double) (z * c)))))))))) + ((double) (j * ((double) (((double) (a * c)) - ((double) (i * y))))))));
				} else {
					VAR_3 = ((double) (((double) (((double) (x * ((double) (((double) (y * z)) - ((double) (t * a)))))) + ((double) (b * ((double) (((double) (i * t)) - ((double) (z * c)))))))) + ((double) (((double) (c * ((double) (a * j)))) - ((double) (i * ((double) (y * 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
Original12.0
Target20.0
Herbie10.7
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  i  < -1.7241027508523938e92 or 1.30659230091246675e-46 <  i 
    1. Initial program 16.9
      \[\]
    2. Using strategy rm
    3. Applied sub-neg16.9
      \[\leadsto \]
    4. Applied distribute-lft-in16.9
      \[\leadsto \]
    5. Simplified16.9
      \[\leadsto \]
    6. Simplified12.7
      \[\leadsto \]
    if -1.7241027508523938e92 <  i  < -113366.188467450338 or 6.20981217785593431e-197 <  i  < 1.30659230091246675e-46
    1. Initial program 10.0
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt10.3
      \[\leadsto \]
    4. Applied associate-*l*10.3
      \[\leadsto \]
    5. Simplified10.3
      \[\leadsto \]
    6. Using strategy rm
    7. Applied sub-neg10.3
      \[\leadsto \]
    8. Applied distribute-lft-in10.3
      \[\leadsto \]
    9. Simplified10.4
      \[\leadsto \]
    10. Simplified10.3
      \[\leadsto \]
    if -113366.188467450338 <  i  < 6.20981217785593431e-197
    1. Initial program 8.8
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt9.1
      \[\leadsto \]
    4. Applied associate-*l*9.1
      \[\leadsto \]
    5. Simplified9.1
      \[\leadsto \]
    6. Using strategy rm
    7. Applied associate-*r*9.1
      \[\leadsto \]
    8. Simplified9.1
      \[\leadsto \]
    9. Using strategy rm
    10. Applied add-cube-cbrt9.1
      \[\leadsto \]
    11. Applied cbrt-prod9.1
      \[\leadsto \]
    12. Applied associate-*r*9.1
      \[\leadsto \]
    13. Simplified9.1
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification10.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(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)))))