Average Error: 6.4 → 0.8
Time: 5.4s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (x - ((double) (((double) (y * ((double) (z - t)))) / a))));
}
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((((double) (y * ((double) (z - t)))) <= -2.560799253975069e+179)) {
		VAR = ((double) (x + ((double) (((double) (y / a)) * ((double) (t - z))))));
	} else {
		double VAR_1;
		if ((((double) (y * ((double) (z - t)))) <= 5.525893266724952e+116)) {
			VAR_1 = ((double) (x + ((double) (((double) (y * ((double) (z - t)))) * ((double) (-1.0 / a))))));
		} else {
			VAR_1 = ((double) (x - ((double) (y / ((double) (a / ((double) (z - t))))))));
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original6.4
Target0.8
Herbie0.8
\[\]

Derivation

  1. Split input into 3 regimes
  2. if (* y (- z t)) < -2.560799253975069e179

    1. Initial program 26.9

      \[\]
    2. Using strategy rm
    3. Applied sub-neg26.9

      \[\leadsto \]
    4. Simplified1.0

      \[\leadsto \]

    if -2.560799253975069e179 < (* y (- z t)) < 5.5258932667249522e116

    1. Initial program 0.4

      \[\]
    2. Using strategy rm
    3. Applied div-inv0.4

      \[\leadsto \]

    if 5.5258932667249522e116 < (* y (- z t))

    1. Initial program 18.8

      \[\]
    2. Using strategy rm
    3. Applied associate-/l*2.6

      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.8

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y z t a)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, F"
  :precision binary64

  :herbie-target
  (if (< y -1.0761266216389975e-10) (- x (/ 1.0 (/ (/ a (- z t)) y))) (if (< y 2.894426862792089e-49) (- x (/ (* y (- z t)) a)) (- x (/ y (/ a (- z t))))))

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