Average Error: 11.3 → 3.4
Time: 4.4s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double a1, double a2, double b1, double b2) {
	return ((double) (((double) (a1 * a2)) / ((double) (b1 * b2))));
}

↓
double code(double a1, double a2, double b1, double b2) {
	double VAR;
	if ((((double) (((double) (a1 * a2)) / ((double) (b1 * b2)))) <= -inf.0)) {
		VAR = ((double) (((double) (a1 * ((double) (((double) cbrt(a2)) * ((double) (((double) cbrt(a2)) / b1)))))) * ((double) (((double) cbrt(a2)) / b2))));
	} else {
		double VAR_1;
		if (((((double) (((double) (a1 * a2)) / ((double) (b1 * b2)))) <= -1.6034023183853988e-284) || (!(((double) (((double) (a1 * a2)) / ((double) (b1 * b2)))) <= 0.0) && (((double) (((double) (a1 * a2)) / ((double) (b1 * b2)))) <= 4.350432120882198e+256)))) {
			VAR_1 = ((double) (((double) (a1 * a2)) / ((double) (b1 * b2))));
		} else {
			VAR_1 = ((double) (a1 * ((double) (((double) (a2 / b2)) / b1))));
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error
Bits error versus a1
Bits error versus a2
Bits error versus b1
Bits error versus b2
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original11.3
Target11.2
Herbie3.4
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (/ (* a1 a2) (* b1 b2))  < -inf.0
    1. Initial program 64.0
      \[\]
    2. Simplified30.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt30.8
      \[\leadsto \]
    5. Applied times-frac17.0
      \[\leadsto \]
    6. Applied associate-*r*11.1
      \[\leadsto \]
    7. Simplified11.1
      \[\leadsto \]
    if -inf.0 <  (/ (* a1 a2) (* b1 b2))  < -1.6034023183853988e-284 or 0.0 <  (/ (* a1 a2) (* b1 b2))  < 4.35043212088219816e256
    1. Initial program 0.8
      \[\]
    if -1.6034023183853988e-284 <  (/ (* a1 a2) (* b1 b2))  < 0.0 or 4.35043212088219816e256 <  (/ (* a1 a2) (* b1 b2)) 
    1. Initial program 21.5
      \[\]
    2. Simplified14.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt14.5
      \[\leadsto \]
    5. Applied times-frac6.3
      \[\leadsto \]
    6. Simplified6.3
      \[\leadsto \]
    7. Using strategy rm
    8. Applied associate-*r/6.3
      \[\leadsto \]
    9. Applied associate-*l/6.7
      \[\leadsto \]
    10. Simplified6.4
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification3.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(FPCore (a1 a2 b1 b2)
  :name "Quotient of products"
  :precision binary64

  :herbie-target
  (* (/ a1 b1) (/ a2 b2))

  (/ (* a1 a2) (* b1 b2)))