Average Error: 7.5 → 0.8
Time: 6.3s
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)))) <= -4.092686806776429e+258) || !(((double) (((double) (x * y)) - ((double) (z * t)))) <= 1.3177471015153449e+287))) {
		VAR = ((double) (((double) (((double) (x * ((double) (((double) cbrt(((double) (y / a)))) * ((double) cbrt(((double) (y / a)))))))) * ((double) (((double) cbrt(y)) / ((double) cbrt(a)))))) - ((double) (z * ((double) (t / a))))));
	} else {
		VAR = ((double) (((double) (((double) (x * y)) - ((double) (z * t)))) / a));
	}
	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
Original7.5
Target5.8
Herbie0.8
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (- (* x y) (* z t))  < -4.092686806776429e258 or 1.3177471015153449e287 <  (- (* x y) (* z t)) 
    1. Initial program 47.6
      \[\]
    2. Using strategy rm
    3. Applied div-sub47.6
      \[\leadsto \]
    4. Simplified24.8
      \[\leadsto \]
    5. Simplified0.4
      \[\leadsto \]
    6. Using strategy rm
    7. Applied add-cube-cbrt1.0
      \[\leadsto \]
    8. Applied associate-*r*1.0
      \[\leadsto \]
    9. Using strategy rm
    10. Applied cbrt-div0.9
      \[\leadsto \]
    if -4.092686806776429e258 <  (- (* x y) (* z t))  < 1.3177471015153449e287
    1. Initial program 0.8
      \[\]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(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))