Average Error: 6.1 → 3.1
Time: 3.6s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x * x)) - ((double) (((double) (y * 4.0)) * ((double) (((double) (z * z)) - t))))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((((double) (z * z)) <= 5.361476753842144e+299)) {
		VAR = ((double) (((double) (x * x)) + ((double) (((double) (y * ((double) (4.0 * t)))) - ((double) (y * ((double) (((double) (z * z)) * 4.0))))))));
	} else {
		VAR = ((double) (((double) (x * x)) + ((double) (((double) (y * ((double) (4.0 * ((double) (z + ((double) sqrt(t)))))))) * ((double) (((double) sqrt(t)) - 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
Original6.1
Target6.1
Herbie3.1
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (* z z)  < 5.3614767538421442e299
    1. Initial program 0.1
      \[\]
    2. Using strategy rm
    3. Applied sub-neg0.1
      \[\leadsto \]
    4. Applied distribute-lft-in0.1
      \[\leadsto \]
    5. Simplified0.1
      \[\leadsto \]
    6. Simplified0.1
      \[\leadsto \]
    if 5.3614767538421442e299 <  (* z z) 
    1. Initial program 61.0
      \[\]
    2. Using strategy rm
    3. Applied add-sqr-sqrt62.5
      \[\leadsto \]
    4. Applied difference-of-squares62.5
      \[\leadsto \]
    5. Applied associate-*r*30.4
      \[\leadsto \]
    6. Simplified30.4
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification3.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y z t)
  :name "Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, B"
  :precision binary64

  :herbie-target
  (- (* x x) (* 4.0 (* y (- (* z z) t))))

  (- (* x x) (* (* y 4.0) (- (* z z) t))))