Average Error: 11.6 → 2.4
Time: 4.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x * ((double) (y - z)))) / ((double) (t - z))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if (((z <= -9.586446773513064e-40) || !(z <= 1.5088456049136073e-288))) {
		VAR = ((double) (x * ((double) (1.0 / ((double) (((double) (t - z)) / ((double) (y - z))))))));
	} else {
		VAR = ((double) (((double) (x / ((double) (t - z)))) * ((double) (1.0 / ((double) (1.0 / ((double) (y - z))))))));
	}
	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
Original11.6
Target2.2
Herbie2.4
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  z  < -9.58644677351306357e-40 or 1.5088456049136073e-288 <  z 
    1. Initial program 13.3
      \[\]
    2. Simplified1.5
      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num1.6
      \[\leadsto \]
    if -9.58644677351306357e-40 <  z  < 1.5088456049136073e-288
    1. Initial program 5.8
      \[\]
    2. Simplified4.8
      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num5.1
      \[\leadsto \]
    5. Using strategy rm
    6. Applied div-inv5.2
      \[\leadsto \]
    7. Applied *-un-lft-identity5.2
      \[\leadsto \]
    8. Applied times-frac4.9
      \[\leadsto \]
    9. Applied associate-*r*5.3
      \[\leadsto \]
    10. Simplified5.2
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification2.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (/ x (/ (- t z) (- y z)))

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