Average Error: 6.8 → 2.5
Time: 5.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x * 2.0)) / ((double) (((double) (y * z)) - ((double) (t * z))))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((z <= -1.9170945823704876e+37)) {
		VAR = ((double) (1.0 / ((double) (((double) (y - t)) * ((double) (z / ((double) (x * 2.0))))))));
	} else {
		double VAR_1;
		if ((z <= 6.676781766092113e-43)) {
			VAR_1 = ((double) (((double) (x * 2.0)) / ((double) (z * ((double) (y - t))))));
		} else {
			VAR_1 = ((double) (((double) (x * ((double) (2.0 / z)))) / ((double) (y - t))));
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original6.8
Target2.2
Herbie2.5
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  z  < -1.91709458237048765e37
    1. Initial program 11.8
      \[\]
    2. Simplified9.2
      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r/9.2
      \[\leadsto \]
    5. Using strategy rm
    6. Applied clear-num9.5
      \[\leadsto \]
    7. Simplified2.8
      \[\leadsto \]
    if -1.91709458237048765e37 <  z  < 6.676781766092113e-43
    1. Initial program 2.7
      \[\]
    2. Simplified3.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r/2.7
      \[\leadsto \]
    if 6.676781766092113e-43 <  z 
    1. Initial program 8.9
      \[\]
    2. Simplified7.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied associate-*r/7.3
      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-/r*2.1
      \[\leadsto \]
    7. Simplified2.1
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification2.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z t)
  :name "Linear.Projection:infinitePerspective from linear-1.19.1.3, A"
  :precision binary64

  :herbie-target
  (if (< (/ (* x 2.0) (- (* y z) (* t z))) -2.559141628295061e-13) (* (/ x (* (- y t) z)) 2.0) (if (< (/ (* x 2.0) (- (* y z) (* t z))) 1.0450278273301259e-269) (/ (* (/ x z) 2.0) (- y t)) (* (/ x (* (- y t) z)) 2.0)))

  (/ (* x 2.0) (- (* y z) (* t z))))