Average Error: 6.8 → 3.0
Time: 3.8s
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 (((((double) (x * 2.0)) <= -1.5809399955981694e+78) || !(((double) (x * 2.0)) <= 1.4938831530347273e+125))) {
		VAR = ((double) (((double) (x * ((double) (2.0 / ((double) (y - t)))))) / z));
	} else {
		VAR = ((double) (((double) (x * ((double) (2.0 / z)))) / ((double) (y - t))));
	}
	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
Target2.3
Herbie3.0
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (* x 2.0)  < -1.58093999559816937e78 or 1.4938831530347273e125 <  (* x 2.0) 
    1. Initial program 13.8
      \[\]
    2. Simplified13.5
      \[\leadsto \]
    3. Using strategy rm
    4. Applied *-un-lft-identity13.5
      \[\leadsto \]
    5. Applied times-frac12.7
      \[\leadsto \]
    6. Applied associate-*r*14.5
      \[\leadsto \]
    7. Simplified14.4
      \[\leadsto \]
    8. Using strategy rm
    9. Applied associate-*l/3.6
      \[\leadsto \]
    if -1.58093999559816937e78 <  (* x 2.0)  < 1.4938831530347273e125
    1. Initial program 3.9
      \[\]
    2. Simplified2.8
      \[\leadsto \]
    3. Using strategy rm
    4. Applied *-un-lft-identity2.8
      \[\leadsto \]
    5. Applied times-frac2.7
      \[\leadsto \]
    6. Applied associate-*r*2.8
      \[\leadsto \]
    7. Simplified2.8
      \[\leadsto \]
    8. Using strategy rm
    9. Applied associate-*r/2.7
      \[\leadsto \]
    10. Using strategy rm
    11. Applied *-un-lft-identity2.7
      \[\leadsto \]
    12. Applied associate-/r*2.7
      \[\leadsto \]
    13. Simplified2.8
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification3.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(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))))