Average Error: 5.9 → 0.5
Time: 4.3s
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)))) <= -3.13336732550441e+195)) {
		VAR = ((double) (x + ((double) (y * ((double) (((double) (z - t)) / a))))));
	} else {
		double VAR_1;
		if ((((double) (y * ((double) (z - t)))) <= 9.935411130541129e+225)) {
			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

Original5.9
Target0.7
Herbie0.5
\[\]

Derivation

  1. Split input into 3 regimes
  2. if (* y (- z t)) < -3.13336732550441e195

    1. Initial program 26.5

      \[\]
    2. Simplified1.0

      \[\leadsto \]

    if -3.13336732550441e195 < (* y (- z t)) < 9.935411130541129e225

    1. Initial program 0.4

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

      \[\leadsto \]

    if 9.935411130541129e225 < (* y (- z t))

    1. Initial program 34.9

      \[\]
    2. Using strategy rm
    3. Applied associate-/l*0.8

      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y z t a)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, E"
  :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)))